scyther-proof-0.3.0: data/examples/iso9798/isabelle-parallel-proofs/isoiec-9798-3_cert_auto.thy
theory "isoiec-9798-3_cert_auto"
imports
"../ESPLogic"
begin
role isoiec_9798_3_1_A
where "isoiec_9798_3_1_A =
[ Send ''leak_A'' ( sN ''TNA'' )
, Recv ''text_1'' <| sMV ''Text1'', sMV ''Text2'' |>
, Send ''1'' <| sAV ''A'', sAV ''B'', sMV ''Text2'',
PSign <| sC ''isoiec_9798_3_1_sig_1'', sN ''TNA'', sAV ''B'',
sMV ''Text1''
|>
( sPK ''A'' )
|>
]"
role isoiec_9798_3_1_B
where "isoiec_9798_3_1_B =
[ Recv ''1'' <| sMV ''A'', sAV ''B'', sMV ''Text2'',
PSign <| sC ''isoiec_9798_3_1_sig_1'', sMV ''TNA'', sAV ''B'',
sMV ''Text1''
|>
( PAsymPK ( sMV ''A'' ) )
|>
]"
role isoiec_9798_3_2_A
where "isoiec_9798_3_2_A =
[ Recv ''1'' <| sMV ''B'', sAV ''A'', sMV ''Rb'', sMV ''Text1'' |>
, Recv ''text_2'' <| sMV ''Text2'', sMV ''Text3'' |>
, Send ''2'' <| sAV ''A'', sMV ''B'', sMV ''Text3'',
PSign <| sC ''isoiec_9798_3_2_sig_2'', sN ''Ra'', sMV ''Rb'', sMV ''B'',
sMV ''Text2''
|>
( sPK ''A'' )
|>
]"
role isoiec_9798_3_2_B
where "isoiec_9798_3_2_B =
[ Recv ''text_1'' ( sMV ''Text1'' )
, Send ''1'' <| sAV ''B'', sAV ''A'', sN ''Rb'', sMV ''Text1'' |>
, Recv ''2'' <| sAV ''A'', sAV ''B'', sMV ''Text3'',
PSign <| sC ''isoiec_9798_3_2_sig_2'', sMV ''Ra'', sN ''Rb'', sAV ''B'',
sMV ''Text2''
|>
( sPK ''A'' )
|>
]"
role isoiec_9798_3_3_A
where "isoiec_9798_3_3_A =
[ Send ''leak_A'' ( sN ''TNA'' )
, Recv ''text_1'' <| sMV ''Text1'', sMV ''Text2'' |>
, Send ''1'' <| sAV ''A'', sAV ''B'', sMV ''Text2'',
PSign <| sC ''isoiec_9798_3_3_sig_1'', sN ''TNA'', sAV ''B'',
sMV ''Text1''
|>
( sPK ''A'' )
|>
, Recv ''2'' <| sAV ''A'', sAV ''B'', sMV ''Text4'',
PSign <| sC ''isoiec_9798_3_3_sig_2'', sMV ''TNB'', sAV ''A'',
sMV ''Text3''
|>
( sPK ''B'' )
|>
]"
role isoiec_9798_3_3_B
where "isoiec_9798_3_3_B =
[ Send ''leak_B'' ( sN ''TNB'' )
, Recv ''1'' <| sMV ''A'', sAV ''B'', sMV ''Text2'',
PSign <| sC ''isoiec_9798_3_3_sig_1'', sMV ''TNA'', sAV ''B'',
sMV ''Text1''
|>
( PAsymPK ( sMV ''A'' ) )
|>
, Recv ''text_2'' <| sMV ''Text3'', sMV ''Text4'' |>
, Send ''2'' <| sMV ''A'', sAV ''B'', sMV ''Text4'',
PSign <| sC ''isoiec_9798_3_3_sig_2'', sN ''TNB'', sMV ''A'',
sMV ''Text3''
|>
( sPK ''B'' )
|>
]"
role isoiec_9798_3_4_A
where "isoiec_9798_3_4_A =
[ Recv ''1'' <| sMV ''B'', sAV ''A'', sMV ''RB'', sMV ''Text1'' |>
, Recv ''text_2'' <| sMV ''Text2'', sMV ''Text3'' |>
, Send ''2'' <| sAV ''A'', sMV ''B'', sMV ''Text3'',
PSign <| sC ''isoiec_9798_3_4_sig_1'', sN ''RA'', sMV ''RB'', sMV ''B'',
sMV ''Text2''
|>
( sPK ''A'' )
|>
, Recv ''3'' <| sMV ''B'', sAV ''A'', sMV ''Text5'',
PSign <| sC ''isoiec_9798_3_4_sig_2'', sMV ''RB'', sN ''RA'', sAV ''A'',
sMV ''Text4''
|>
( PAsymPK ( sMV ''B'' ) )
|>
]"
role isoiec_9798_3_4_B
where "isoiec_9798_3_4_B =
[ Recv ''text_1'' ( sMV ''Text1'' )
, Send ''1'' <| sAV ''B'', sAV ''A'', sN ''RB'', sMV ''Text1'' |>
, Recv ''2'' <| sAV ''A'', sAV ''B'', sMV ''Text3'',
PSign <| sC ''isoiec_9798_3_4_sig_1'', sMV ''RA'', sN ''RB'', sAV ''B'',
sMV ''Text2''
|>
( sPK ''A'' )
|>
, Recv ''text_3'' <| sMV ''Text4'', sMV ''Text5'' |>
, Send ''3'' <| sAV ''B'', sAV ''A'', sMV ''Text5'',
PSign <| sC ''isoiec_9798_3_4_sig_2'', sN ''RB'', sMV ''RA'', sAV ''A'',
sMV ''Text4''
|>
( sPK ''B'' )
|>
]"
role isoiec_9798_3_5_A
where "isoiec_9798_3_5_A =
[ Recv ''text_1'' ( sMV ''Text1'' )
, Send ''1'' <| sAV ''A'', sAV ''B'', sN ''RA'', sMV ''Text1'' |>
, Recv ''2'' <| sAV ''B'', sAV ''A'', sMV ''RB'', sMV ''Text2'' |>
, Recv ''3'' <| sAV ''B'', sAV ''A'', sMV ''Text6'',
PSign <| sC ''isoiec_9798_3_5_sig_1'', sMV ''RB'', sN ''RA'', sAV ''A'',
sMV ''Text5''
|>
( sPK ''B'' )
|>
, Recv ''text_4'' <| sMV ''Text3'', sMV ''Text4'' |>
, Send ''4'' <| sAV ''A'', sAV ''B'', sMV ''Text4'',
PSign <| sC ''isoiec_9798_3_5_sig_2'', sN ''RA'', sMV ''RB'', sAV ''B'',
sMV ''Text3''
|>
( sPK ''A'' )
|>
]"
role isoiec_9798_3_5_B
where "isoiec_9798_3_5_B =
[ Recv ''1'' <| sMV ''A'', sAV ''B'', sMV ''RA'', sMV ''Text1'' |>
, Recv ''text_2'' ( sMV ''Text2'' )
, Send ''2'' <| sAV ''B'', sMV ''A'', sN ''RB'', sMV ''Text2'' |>
, Recv ''text_3'' <| sMV ''Text5'', sMV ''Text6'' |>
, Send ''3'' <| sAV ''B'', sMV ''A'', sMV ''Text6'',
PSign <| sC ''isoiec_9798_3_5_sig_1'', sN ''RB'', sMV ''RA'', sMV ''A'',
sMV ''Text5''
|>
( sPK ''B'' )
|>
, Recv ''4'' <| sMV ''A'', sAV ''B'', sMV ''Text4'',
PSign <| sC ''isoiec_9798_3_5_sig_2'', sMV ''RA'', sN ''RB'', sAV ''B'',
sMV ''Text3''
|>
( PAsymPK ( sMV ''A'' ) )
|>
]"
role isoiec_9798_3_6_1_A
where "isoiec_9798_3_6_1_A =
[ Recv ''text_1'' ( sMV ''Text1'' )
, Send ''1'' <| sAV ''A'', sAV ''B'', sN ''Ra'', sMV ''Text1'' |>
, Recv ''2'' <| sAV ''A'', sAV ''B'', sN ''Ra'', sMV ''Rb'',
sMV ''Text3'', sMV ''TokenBA''
|>
, Recv ''text_3'' ( sMV ''Text4'' )
, Send ''3'' <| sAV ''A'', sAV ''T'', sN ''Rpa'', sMV ''Rb'', sAV ''B'',
sMV ''Text4''
|>
, Recv ''4'' <| sAV ''T'', sAV ''A'', sMV ''Text7'', sAV ''A'',
sPK ''A'', sAV ''B'', sMV ''pkB'',
PSign <| sC ''isoiec_9798_3_6_opt_1_sig_4_1'', sN ''Rpa'', sAV ''B'',
sMV ''pkB'', sMV ''Text6''
|>
( sPK ''T'' ),
sMV ''TokenTA_for_B''
|>
, Send ''check_4_out'' ( PEnc <| sC ''check_4'', sMV ''TokenBA'' |>
( sN ''check_nonce_4'' )
)
, Recv ''check_4_in'' ( PEnc <| sC ''check_4'',
PSign <| sC ''isoiec_9798_3_6_opt_1_sig_2'', sAV ''B'', sN ''Ra'',
sMV ''Rb'', sAV ''A'', sMV ''Text2''
|>
( sMV ''pkB'' )
|>
( sN ''check_nonce_4'' )
)
, Recv ''text_5'' <| sMV ''Text8'', sMV ''Text9'' |>
, Send ''5'' <| sAV ''A'', sAV ''B'', sMV ''Text9'', sAV ''T'',
sMV ''TokenTA_for_B'',
PSign <| sC ''isoiec_9798_3_6_opt_1_sig_5'', sMV ''Rb'', sN ''Ra'',
sAV ''B'', sAV ''A'', sMV ''Text8''
|>
( sPK ''A'' )
|>
]"
role isoiec_9798_3_6_1_B
where "isoiec_9798_3_6_1_B =
[ Recv ''1'' <| sMV ''A'', sAV ''B'', sMV ''Ra'', sMV ''Text1'' |>
, Recv ''text_2'' <| sMV ''Text2'', sMV ''Text3'' |>
, Send ''2'' <| sMV ''A'', sAV ''B'', sMV ''Ra'', sN ''Rb'',
sMV ''Text3'',
PSign <| sC ''isoiec_9798_3_6_opt_1_sig_2'', sAV ''B'', sMV ''Ra'',
sN ''Rb'', sMV ''A'', sMV ''Text2''
|>
( sPK ''B'' )
|>
, Recv ''5'' <| sMV ''A'', sAV ''B'', sMV ''Text9'', sMV ''T'',
PSign <| sC ''isoiec_9798_3_6_opt_1_sig_4_2'', sN ''Rb'', sMV ''A'',
sMV ''pkA'', sMV ''Text5''
|>
( PAsymPK ( sMV ''T'' ) ),
PSign <| sC ''isoiec_9798_3_6_opt_1_sig_5'', sN ''Rb'', sMV ''Ra5'',
sAV ''B'', sMV ''A'', sMV ''Text8''
|>
( sMV ''pkA'' )
|>
]"
role isoiec_9798_3_6_1_T
where "isoiec_9798_3_6_1_T =
[ Recv ''3'' <| sMV ''A'', sAV ''T'', sMV ''Rpa'', sMV ''Rb'', sMV ''B'',
sMV ''Text4''
|>
, Recv ''text_4'' <| sMV ''Text5'', sMV ''Text6'', sMV ''Text7'' |>
, Send ''4'' <| sAV ''T'', sMV ''A'', sMV ''Text7'', sMV ''A'',
PAsymPK ( sMV ''A'' ), sMV ''B'', PAsymPK ( sMV ''B'' ),
PSign <| sC ''isoiec_9798_3_6_opt_1_sig_4_1'', sMV ''Rpa'', sMV ''B'',
PAsymPK ( sMV ''B'' ), sMV ''Text6''
|>
( sPK ''T'' ),
PSign <| sC ''isoiec_9798_3_6_opt_1_sig_4_2'', sMV ''Rb'', sMV ''A'',
PAsymPK ( sMV ''A'' ), sMV ''Text5''
|>
( sPK ''T'' )
|>
]"
role isoiec_9798_3_6_2_A
where "isoiec_9798_3_6_2_A =
[ Recv ''text_1'' ( sMV ''Text1'' )
, Send ''1'' <| sAV ''A'', sAV ''B'', sN ''Ra'', sMV ''Text1'' |>
, Recv ''2'' <| sAV ''A'', sAV ''B'', sN ''Ra'', sMV ''Rb'',
sMV ''Text3'', sMV ''TokenBA''
|>
, Recv ''text_3'' ( sMV ''Text4'' )
, Send ''3'' <| sAV ''A'', sAV ''T'', sN ''Rpa'', sMV ''Rb'', sAV ''B'',
sMV ''Text4''
|>
, Recv ''4'' <| sAV ''T'', sAV ''A'', sMV ''Text7'', sAV ''A'',
sPK ''A'', sAV ''B'', sMV ''pkB'', sMV ''TokenTA''
|>
, Send ''check_4_out'' ( PEnc <| sC ''check_4'', sMV ''TokenTA'',
sMV ''TokenBA''
|>
( sN ''check_nonce_4'' )
)
, Recv ''check_4_in'' ( PEnc <| sC ''check_4'',
PSign <| sC ''isoiec_9798_3_6_opt_2_sig_4'', sN ''Rpa'', sMV ''Rb'',
sAV ''A'', sMV ''pkA'', sAV ''B'', sMV ''pkB'', sMV ''Text5''
|>
( sPK ''T'' ),
PSign <| sC ''isoiec_9798_3_6_opt_2_sig_2'', sAV ''B'', sN ''Ra'',
sMV ''Rb'', sAV ''A'', sMV ''Text2''
|>
( sMV ''pkB'' )
|>
( sN ''check_nonce_4'' )
)
, Recv ''text_5'' <| sMV ''Text8'', sMV ''Text9'' |>
, Send ''5'' <| sAV ''A'', sAV ''B'', sN ''Rpa'', sMV ''Text9'',
sAV ''T'', sMV ''TokenTA'',
PSign <| sC ''isoiec_9798_3_6_opt_2_sig_5'', sMV ''Rb'', sN ''Ra'',
sAV ''B'', sAV ''A'', sMV ''Text8''
|>
( sPK ''A'' )
|>
]"
role isoiec_9798_3_6_2_B
where "isoiec_9798_3_6_2_B =
[ Recv ''1'' <| sMV ''A'', sAV ''B'', sMV ''Ra'', sMV ''Text1'' |>
, Recv ''text_2'' <| sMV ''Text2'', sMV ''Text3'' |>
, Send ''2'' <| sMV ''A'', sAV ''B'', sMV ''Ra'', sN ''Rb'',
sMV ''Text3'',
PSign <| sC ''isoiec_9798_3_6_opt_2_sig_2'', sAV ''B'', sMV ''Ra'',
sN ''Rb'', sMV ''A'', sMV ''Text2''
|>
( sPK ''B'' )
|>
, Recv ''5'' <| sMV ''A'', sAV ''B'', sMV ''Rpa'', sMV ''Text9'',
sMV ''T'',
PSign <| sC ''isoiec_9798_3_6_opt_2_sig_4'', sMV ''Rpa'', sN ''Rb'',
sMV ''A'', sMV ''pkA'', sAV ''B'', sMV ''pkB'', sMV ''Text5''
|>
( PAsymPK ( sMV ''T'' ) ),
PSign <| sC ''isoiec_9798_3_6_opt_2_sig_5'', sN ''Rb'', sMV ''Ra5'',
sAV ''B'', sMV ''A'', sMV ''Text8''
|>
( sMV ''pkA'' )
|>
]"
role isoiec_9798_3_6_2_T
where "isoiec_9798_3_6_2_T =
[ Recv ''3'' <| sMV ''A'', sAV ''T'', sMV ''Rpa'', sMV ''Rb'', sMV ''B'',
sMV ''Text4''
|>
, Recv ''text_4'' <| sMV ''Text5'', sMV ''Text7'' |>
, Send ''4'' <| sAV ''T'', sMV ''A'', sMV ''Text7'', sMV ''A'',
PAsymPK ( sMV ''A'' ), sMV ''B'', PAsymPK ( sMV ''B'' ),
PSign <| sC ''isoiec_9798_3_6_opt_2_sig_4'', sMV ''Rpa'', sMV ''Rb'',
sMV ''A'', PAsymPK ( sMV ''A'' ), sMV ''B'', PAsymPK ( sMV ''B'' ),
sMV ''Text5''
|>
( sPK ''T'' )
|>
]"
role isoiec_9798_3_7_1_A
where "isoiec_9798_3_7_1_A =
[ Recv ''1'' <| sMV ''B'', sAV ''A'', sMV ''Rb'', sMV ''Text1'' |>
, Recv ''text_2'' ( sMV ''Text2'' )
, Send ''2'' <| sAV ''A'', sAV ''T'', sN ''Rpa'', sMV ''Rb'', sAV ''A'',
sMV ''B'', sMV ''Text2''
|>
, Recv ''3'' <| sAV ''T'', sAV ''A'', sMV ''Text5'', sAV ''A'',
sPK ''A'', sMV ''B'', sMV ''pkB'',
PSign <| sC ''isoiec_9798_3_7_opt_1_sig_3_1'', sN ''Rpa'', sMV ''B'',
sMV ''pkB'', sMV ''Text4''
|>
( sPK ''T'' ),
sMV ''TokenTA_for_B''
|>
, Recv ''text_4'' <| sMV ''Text6'', sMV ''Text7'' |>
, Send ''4'' <| sAV ''A'', sMV ''B'', sN ''Rpa'', sMV ''Text7'',
sAV ''T'', sMV ''TokenTA_for_B'',
PSign <| sC ''isoiec_9798_3_7_opt_1_sig_4'', sMV ''Rb'', sN ''Ra'',
sMV ''B'', sAV ''A'', sMV ''Text6''
|>
( sPK ''A'' )
|>
, Recv ''5'' <| sAV ''A'', sMV ''B'', sN ''Ra'', sMV ''Rb'',
sMV ''Text9'',
PSign <| sC ''isoiec_9798_3_7_opt_1_sig_5'', sN ''Ra'', sMV ''Rb'',
sAV ''A'', sMV ''B'', sMV ''Text8''
|>
( sMV ''pkB'' )
|>
]"
role isoiec_9798_3_7_1_B
where "isoiec_9798_3_7_1_B =
[ Recv ''text_1'' ( sMV ''Text1'' )
, Send ''1'' <| sAV ''B'', sAV ''A'', sN ''Rb'', sMV ''Text1'' |>
, Recv ''4'' <| sAV ''A'', sAV ''B'', sMV ''Rpa'', sMV ''Text9'',
sMV ''T'',
PSign <| sC ''isoiec_9798_3_7_opt_1_sig_3_2'', sN ''Rb'', sAV ''A'',
sMV ''pkA'', sMV ''Text3''
|>
( PAsymPK ( sMV ''T'' ) ),
PSign <| sC ''isoiec_9798_3_7_opt_1_sig_4'', sN ''Rb'', sMV ''Ra'',
sAV ''B'', sAV ''A'', sMV ''Text6''
|>
( sMV ''pkA'' )
|>
, Recv ''text_5'' <| sMV ''Text8'', sMV ''Text9'' |>
, Send ''5'' <| sAV ''A'', sAV ''B'', sMV ''Ra'', sN ''Rb'',
sMV ''Text9'',
PSign <| sC ''isoiec_9798_3_7_opt_1_sig_5'', sMV ''Ra'', sN ''Rb'',
sAV ''A'', sAV ''B'', sMV ''Text8''
|>
( sPK ''B'' )
|>
]"
role isoiec_9798_3_7_1_T
where "isoiec_9798_3_7_1_T =
[ Recv ''2'' <| sMV ''A'', sAV ''T'', sMV ''Rpa'', sMV ''Rb'', sMV ''A'',
sMV ''B'', sMV ''Text2''
|>
, Recv ''text_3'' <| sMV ''Text3'', sMV ''Text4'', sMV ''Text5'' |>
, Send ''3'' <| sAV ''T'', sMV ''A'', sMV ''Text5'', sMV ''A'',
PAsymPK ( sMV ''A'' ), sMV ''B'', PAsymPK ( sMV ''B'' ),
PSign <| sC ''isoiec_9798_3_7_opt_1_sig_3_1'', sMV ''Rpa'', sMV ''B'',
PAsymPK ( sMV ''B'' ), sMV ''Text4''
|>
( sPK ''T'' ),
PSign <| sC ''isoiec_9798_3_7_opt_1_sig_3_2'', sMV ''Rb'', sMV ''A'',
PAsymPK ( sMV ''A'' ), sMV ''Text3''
|>
( sPK ''T'' )
|>
]"
role isoiec_9798_3_7_2_A
where "isoiec_9798_3_7_2_A =
[ Recv ''1'' <| sMV ''B'', sAV ''A'', sMV ''Rb'', sMV ''Text1'' |>
, Recv ''text_2'' ( sMV ''Text2'' )
, Send ''2'' <| sAV ''A'', sAV ''T'', sN ''Rpa'', sMV ''Rb'', sAV ''A'',
sMV ''B'', sMV ''Text2''
|>
, Recv ''3'' <| sAV ''T'', sAV ''A'', sMV ''Text5'', sAV ''A'',
sPK ''A'', sMV ''B'', sMV ''pkB'', sMV ''TokenTA''
|>
, Send ''check_3_out'' ( PEnc <| sC ''check_4'', sMV ''TokenTA'' |>
( sN ''check_nonce_4'' )
)
, Recv ''check_3_in'' ( PEnc <| sC ''check_4'',
PSign <| sC ''isoiec_9798_3_7_opt_2_sig_3'', sN ''Rpa'', sMV ''Rb'',
sAV ''A'', sMV ''pkA'', sMV ''B'', sMV ''pkB'', sMV ''Text3''
|>
( sPK ''T'' )
|>
( sN ''check_nonce_4'' )
)
, Recv ''text_4'' <| sMV ''Text6'', sMV ''Text7'' |>
, Send ''4'' <| sAV ''A'', sMV ''B'', sN ''Rpa'', sMV ''Text7'',
sAV ''T'', sMV ''TokenTA'',
PSign <| sC ''isoiec_9798_3_7_opt_2_sig_4'', sMV ''Rb'', sN ''Ra'',
sMV ''B'', sAV ''A'', sMV ''Text6''
|>
( sPK ''A'' )
|>
, Recv ''5'' <| sAV ''A'', sMV ''B'', sN ''Ra'', sMV ''Rb'',
sMV ''Text9'',
PSign <| sC ''isoiec_9798_3_7_opt_2_sig_5'', sN ''Ra'', sMV ''Rb'',
sAV ''A'', sMV ''B'', sMV ''Text8''
|>
( sMV ''pkB'' )
|>
]"
role isoiec_9798_3_7_2_B
where "isoiec_9798_3_7_2_B =
[ Recv ''text_1'' ( sMV ''Text1'' )
, Send ''1'' <| sAV ''B'', sAV ''A'', sN ''Rb'', sMV ''Text1'' |>
, Recv ''4'' <| sAV ''A'', sAV ''B'', sMV ''Rpa'', sMV ''Text9'',
sMV ''T'',
PSign <| sC ''isoiec_9798_3_7_opt_2_sig_3'', sMV ''Rpa'', sN ''Rb'',
sAV ''A'', sMV ''pkA'', sAV ''B'', sMV ''pkB'', sMV ''Text3''
|>
( PAsymPK ( sMV ''T'' ) ),
PSign <| sC ''isoiec_9798_3_7_opt_2_sig_4'', sN ''Rb'', sMV ''Ra'',
sAV ''B'', sAV ''A'', sMV ''Text6''
|>
( sMV ''pkA'' )
|>
, Recv ''text_5'' <| sMV ''Text8'', sMV ''Text9'' |>
, Send ''5'' <| sAV ''A'', sAV ''B'', sMV ''Ra'', sN ''Rb'',
sMV ''Text9'',
PSign <| sC ''isoiec_9798_3_7_opt_2_sig_5'', sMV ''Ra'', sN ''Rb'',
sAV ''A'', sAV ''B'', sMV ''Text8''
|>
( sPK ''B'' )
|>
]"
role isoiec_9798_3_7_2_T
where "isoiec_9798_3_7_2_T =
[ Recv ''2'' <| sMV ''A'', sAV ''T'', sMV ''Rpa'', sMV ''Rb'', sMV ''A'',
sMV ''B'', sMV ''Text2''
|>
, Recv ''text_3'' <| sMV ''Text3'', sMV ''Text5'' |>
, Send ''3'' <| sAV ''T'', sMV ''A'', sMV ''Text5'', sMV ''A'',
PAsymPK ( sMV ''A'' ), sMV ''B'', PAsymPK ( sMV ''B'' ),
PSign <| sC ''isoiec_9798_3_7_opt_2_sig_3'', sMV ''Rpa'', sMV ''Rb'',
sMV ''A'', PAsymPK ( sMV ''A'' ), sMV ''B'', PAsymPK ( sMV ''B'' ),
sMV ''Text3''
|>
( sPK ''T'' )
|>
]"
protocol isoiec_9798_3
where "isoiec_9798_3 =
{ isoiec_9798_3_1_A, isoiec_9798_3_1_B, isoiec_9798_3_2_A,
isoiec_9798_3_2_B, isoiec_9798_3_3_A, isoiec_9798_3_3_B,
isoiec_9798_3_4_A, isoiec_9798_3_4_B, isoiec_9798_3_5_A,
isoiec_9798_3_5_B, isoiec_9798_3_6_1_A, isoiec_9798_3_6_1_B,
isoiec_9798_3_6_1_T, isoiec_9798_3_6_2_A, isoiec_9798_3_6_2_B,
isoiec_9798_3_6_2_T, isoiec_9798_3_7_1_A, isoiec_9798_3_7_1_B,
isoiec_9798_3_7_1_T, isoiec_9798_3_7_2_A, isoiec_9798_3_7_2_B,
isoiec_9798_3_7_2_T
}"
locale restricted_isoiec_9798_3_state = isoiec_9798_3_state
type_invariant isoiec_9798_3_composed_typing for isoiec_9798_3
where "isoiec_9798_3_composed_typing = mk_typing
[ ((isoiec_9798_3_1_B, ''A''), (KnownT isoiec_9798_3_1_B_1))
, ((isoiec_9798_3_3_B, ''A''), (KnownT isoiec_9798_3_3_B_1))
, ((isoiec_9798_3_5_B, ''A''), (KnownT isoiec_9798_3_5_B_1))
, ((isoiec_9798_3_6_1_B, ''A''), (KnownT isoiec_9798_3_6_1_B_1))
, ((isoiec_9798_3_6_1_T, ''A''), (KnownT isoiec_9798_3_6_1_T_3))
, ((isoiec_9798_3_6_2_B, ''A''), (KnownT isoiec_9798_3_6_2_B_1))
, ((isoiec_9798_3_6_2_T, ''A''), (KnownT isoiec_9798_3_6_2_T_3))
, ((isoiec_9798_3_7_1_T, ''A''), (KnownT isoiec_9798_3_7_1_T_2))
, ((isoiec_9798_3_7_2_T, ''A''), (KnownT isoiec_9798_3_7_2_T_2))
, ((isoiec_9798_3_2_A, ''B''), (KnownT isoiec_9798_3_2_A_1))
, ((isoiec_9798_3_4_A, ''B''), (KnownT isoiec_9798_3_4_A_1))
, ((isoiec_9798_3_6_1_T, ''B''), (KnownT isoiec_9798_3_6_1_T_3))
, ((isoiec_9798_3_6_2_T, ''B''), (KnownT isoiec_9798_3_6_2_T_3))
, ((isoiec_9798_3_7_1_A, ''B''), (KnownT isoiec_9798_3_7_1_A_1))
, ((isoiec_9798_3_7_1_T, ''B''), (KnownT isoiec_9798_3_7_1_T_2))
, ((isoiec_9798_3_7_2_A, ''B''), (KnownT isoiec_9798_3_7_2_A_1))
, ((isoiec_9798_3_7_2_T, ''B''), (KnownT isoiec_9798_3_7_2_T_2))
, ((isoiec_9798_3_4_B, ''RA''), (KnownT isoiec_9798_3_4_B_2))
, ((isoiec_9798_3_5_B, ''RA''), (KnownT isoiec_9798_3_5_B_1))
, ((isoiec_9798_3_4_A, ''RB''), (KnownT isoiec_9798_3_4_A_1))
, ((isoiec_9798_3_5_A, ''RB''), (KnownT isoiec_9798_3_5_A_2))
, ((isoiec_9798_3_2_B, ''Ra''), (KnownT isoiec_9798_3_2_B_2))
, ((isoiec_9798_3_6_1_B, ''Ra''), (KnownT isoiec_9798_3_6_1_B_1))
, ((isoiec_9798_3_6_2_B, ''Ra''), (KnownT isoiec_9798_3_6_2_B_1))
, ((isoiec_9798_3_7_1_B, ''Ra''), (KnownT isoiec_9798_3_7_1_B_4))
, ((isoiec_9798_3_7_2_B, ''Ra''), (KnownT isoiec_9798_3_7_2_B_4))
, ((isoiec_9798_3_6_1_B, ''Ra5''), (KnownT isoiec_9798_3_6_1_B_5))
, ((isoiec_9798_3_6_2_B, ''Ra5''), (KnownT isoiec_9798_3_6_2_B_5))
, ((isoiec_9798_3_2_A, ''Rb''), (KnownT isoiec_9798_3_2_A_1))
, ((isoiec_9798_3_6_1_A, ''Rb''), (KnownT isoiec_9798_3_6_1_A_2))
, ((isoiec_9798_3_6_1_T, ''Rb''), (KnownT isoiec_9798_3_6_1_T_3))
, ((isoiec_9798_3_6_2_A, ''Rb''), (KnownT isoiec_9798_3_6_2_A_2))
, ((isoiec_9798_3_6_2_T, ''Rb''), (KnownT isoiec_9798_3_6_2_T_3))
, ((isoiec_9798_3_7_1_A, ''Rb''), (KnownT isoiec_9798_3_7_1_A_1))
, ((isoiec_9798_3_7_1_T, ''Rb''), (KnownT isoiec_9798_3_7_1_T_2))
, ((isoiec_9798_3_7_2_A, ''Rb''), (KnownT isoiec_9798_3_7_2_A_1))
, ((isoiec_9798_3_7_2_T, ''Rb''), (KnownT isoiec_9798_3_7_2_T_2))
, ((isoiec_9798_3_6_1_T, ''Rpa''), (KnownT isoiec_9798_3_6_1_T_3))
, ((isoiec_9798_3_6_2_B, ''Rpa''), (KnownT isoiec_9798_3_6_2_B_5))
, ((isoiec_9798_3_6_2_T, ''Rpa''), (KnownT isoiec_9798_3_6_2_T_3))
, ((isoiec_9798_3_7_1_B, ''Rpa''), (KnownT isoiec_9798_3_7_1_B_4))
, ((isoiec_9798_3_7_1_T, ''Rpa''), (KnownT isoiec_9798_3_7_1_T_2))
, ((isoiec_9798_3_7_2_B, ''Rpa''), (KnownT isoiec_9798_3_7_2_B_4))
, ((isoiec_9798_3_7_2_T, ''Rpa''), (KnownT isoiec_9798_3_7_2_T_2))
, ((isoiec_9798_3_6_1_B, ''T''), (KnownT isoiec_9798_3_6_1_B_5))
, ((isoiec_9798_3_6_2_B, ''T''), (KnownT isoiec_9798_3_6_2_B_5))
, ((isoiec_9798_3_7_1_B, ''T''), (KnownT isoiec_9798_3_7_1_B_4))
, ((isoiec_9798_3_7_2_B, ''T''), (KnownT isoiec_9798_3_7_2_B_4))
, ((isoiec_9798_3_1_B, ''TNA''), (KnownT isoiec_9798_3_1_B_1))
, ((isoiec_9798_3_3_B, ''TNA''), (KnownT isoiec_9798_3_3_B_1))
, ((isoiec_9798_3_3_A, ''TNB''), (KnownT isoiec_9798_3_3_A_2))
, ((isoiec_9798_3_1_A, ''Text1''), (KnownT isoiec_9798_3_1_A_text_1))
, ((isoiec_9798_3_1_B, ''Text1''), (KnownT isoiec_9798_3_1_B_1))
, ((isoiec_9798_3_2_A, ''Text1''), (KnownT isoiec_9798_3_2_A_1))
, ((isoiec_9798_3_2_B, ''Text1''), (KnownT isoiec_9798_3_2_B_text_1))
, ((isoiec_9798_3_3_A, ''Text1''), (KnownT isoiec_9798_3_3_A_text_1))
, ((isoiec_9798_3_3_B, ''Text1''), (KnownT isoiec_9798_3_3_B_1))
, ((isoiec_9798_3_4_A, ''Text1''), (KnownT isoiec_9798_3_4_A_1))
, ((isoiec_9798_3_4_B, ''Text1''), (KnownT isoiec_9798_3_4_B_text_1))
, ((isoiec_9798_3_5_A, ''Text1''), (KnownT isoiec_9798_3_5_A_text_1))
, ((isoiec_9798_3_5_B, ''Text1''), (KnownT isoiec_9798_3_5_B_1))
, ((isoiec_9798_3_6_1_A, ''Text1''), (KnownT isoiec_9798_3_6_1_A_text_1))
, ((isoiec_9798_3_6_1_B, ''Text1''), (KnownT isoiec_9798_3_6_1_B_1))
, ((isoiec_9798_3_6_2_A, ''Text1''), (KnownT isoiec_9798_3_6_2_A_text_1))
, ((isoiec_9798_3_6_2_B, ''Text1''), (KnownT isoiec_9798_3_6_2_B_1))
, ((isoiec_9798_3_7_1_A, ''Text1''), (KnownT isoiec_9798_3_7_1_A_1))
, ((isoiec_9798_3_7_1_B, ''Text1''), (KnownT isoiec_9798_3_7_1_B_text_1))
, ((isoiec_9798_3_7_2_A, ''Text1''), (KnownT isoiec_9798_3_7_2_A_1))
, ((isoiec_9798_3_7_2_B, ''Text1''), (KnownT isoiec_9798_3_7_2_B_text_1))
, ((isoiec_9798_3_1_A, ''Text2''), (KnownT isoiec_9798_3_1_A_text_1))
, ((isoiec_9798_3_1_B, ''Text2''), (KnownT isoiec_9798_3_1_B_1))
, ((isoiec_9798_3_2_A, ''Text2''), (KnownT isoiec_9798_3_2_A_text_2))
, ((isoiec_9798_3_2_B, ''Text2''), (KnownT isoiec_9798_3_2_B_2))
, ((isoiec_9798_3_3_A, ''Text2''), (KnownT isoiec_9798_3_3_A_text_1))
, ((isoiec_9798_3_3_B, ''Text2''), (KnownT isoiec_9798_3_3_B_1))
, ((isoiec_9798_3_4_A, ''Text2''), (KnownT isoiec_9798_3_4_A_text_2))
, ((isoiec_9798_3_4_B, ''Text2''), (KnownT isoiec_9798_3_4_B_2))
, ((isoiec_9798_3_5_A, ''Text2''), (KnownT isoiec_9798_3_5_A_2))
, ((isoiec_9798_3_5_B, ''Text2''), (KnownT isoiec_9798_3_5_B_text_2))
, ((isoiec_9798_3_6_1_A, ''Text2''),
(KnownT isoiec_9798_3_6_1_A_check_4_in))
, ((isoiec_9798_3_6_1_B, ''Text2''), (KnownT isoiec_9798_3_6_1_B_text_2))
, ((isoiec_9798_3_6_2_A, ''Text2''),
(KnownT isoiec_9798_3_6_2_A_check_4_in))
, ((isoiec_9798_3_6_2_B, ''Text2''), (KnownT isoiec_9798_3_6_2_B_text_2))
, ((isoiec_9798_3_7_1_A, ''Text2''), (KnownT isoiec_9798_3_7_1_A_text_2))
, ((isoiec_9798_3_7_1_T, ''Text2''), (KnownT isoiec_9798_3_7_1_T_2))
, ((isoiec_9798_3_7_2_A, ''Text2''), (KnownT isoiec_9798_3_7_2_A_text_2))
, ((isoiec_9798_3_7_2_T, ''Text2''), (KnownT isoiec_9798_3_7_2_T_2))
, ((isoiec_9798_3_2_A, ''Text3''), (KnownT isoiec_9798_3_2_A_text_2))
, ((isoiec_9798_3_2_B, ''Text3''), (KnownT isoiec_9798_3_2_B_2))
, ((isoiec_9798_3_3_A, ''Text3''), (KnownT isoiec_9798_3_3_A_2))
, ((isoiec_9798_3_3_B, ''Text3''), (KnownT isoiec_9798_3_3_B_text_2))
, ((isoiec_9798_3_4_A, ''Text3''), (KnownT isoiec_9798_3_4_A_text_2))
, ((isoiec_9798_3_4_B, ''Text3''), (KnownT isoiec_9798_3_4_B_2))
, ((isoiec_9798_3_5_A, ''Text3''), (KnownT isoiec_9798_3_5_A_text_4))
, ((isoiec_9798_3_5_B, ''Text3''), (KnownT isoiec_9798_3_5_B_4))
, ((isoiec_9798_3_6_1_A, ''Text3''), (KnownT isoiec_9798_3_6_1_A_2))
, ((isoiec_9798_3_6_1_B, ''Text3''), (KnownT isoiec_9798_3_6_1_B_text_2))
, ((isoiec_9798_3_6_2_A, ''Text3''), (KnownT isoiec_9798_3_6_2_A_2))
, ((isoiec_9798_3_6_2_B, ''Text3''), (KnownT isoiec_9798_3_6_2_B_text_2))
, ((isoiec_9798_3_7_1_B, ''Text3''), (KnownT isoiec_9798_3_7_1_B_4))
, ((isoiec_9798_3_7_1_T, ''Text3''), (KnownT isoiec_9798_3_7_1_T_text_3))
, ((isoiec_9798_3_7_2_A, ''Text3''),
(KnownT isoiec_9798_3_7_2_A_check_3_in))
, ((isoiec_9798_3_7_2_B, ''Text3''), (KnownT isoiec_9798_3_7_2_B_4))
, ((isoiec_9798_3_7_2_T, ''Text3''), (KnownT isoiec_9798_3_7_2_T_text_3))
, ((isoiec_9798_3_3_A, ''Text4''), (KnownT isoiec_9798_3_3_A_2))
, ((isoiec_9798_3_3_B, ''Text4''), (KnownT isoiec_9798_3_3_B_text_2))
, ((isoiec_9798_3_4_A, ''Text4''), (KnownT isoiec_9798_3_4_A_3))
, ((isoiec_9798_3_4_B, ''Text4''), (KnownT isoiec_9798_3_4_B_text_3))
, ((isoiec_9798_3_5_A, ''Text4''), (KnownT isoiec_9798_3_5_A_text_4))
, ((isoiec_9798_3_5_B, ''Text4''), (KnownT isoiec_9798_3_5_B_4))
, ((isoiec_9798_3_6_1_A, ''Text4''), (KnownT isoiec_9798_3_6_1_A_text_3))
, ((isoiec_9798_3_6_1_T, ''Text4''), (KnownT isoiec_9798_3_6_1_T_3))
, ((isoiec_9798_3_6_2_A, ''Text4''), (KnownT isoiec_9798_3_6_2_A_text_3))
, ((isoiec_9798_3_6_2_T, ''Text4''), (KnownT isoiec_9798_3_6_2_T_3))
, ((isoiec_9798_3_7_1_A, ''Text4''), (KnownT isoiec_9798_3_7_1_A_3))
, ((isoiec_9798_3_7_1_T, ''Text4''), (KnownT isoiec_9798_3_7_1_T_text_3))
, ((isoiec_9798_3_4_A, ''Text5''), (KnownT isoiec_9798_3_4_A_3))
, ((isoiec_9798_3_4_B, ''Text5''), (KnownT isoiec_9798_3_4_B_text_3))
, ((isoiec_9798_3_5_A, ''Text5''), (KnownT isoiec_9798_3_5_A_3))
, ((isoiec_9798_3_5_B, ''Text5''), (KnownT isoiec_9798_3_5_B_text_3))
, ((isoiec_9798_3_6_1_B, ''Text5''), (KnownT isoiec_9798_3_6_1_B_5))
, ((isoiec_9798_3_6_1_T, ''Text5''), (KnownT isoiec_9798_3_6_1_T_text_4))
, ((isoiec_9798_3_6_2_A, ''Text5''),
(KnownT isoiec_9798_3_6_2_A_check_4_in))
, ((isoiec_9798_3_6_2_B, ''Text5''), (KnownT isoiec_9798_3_6_2_B_5))
, ((isoiec_9798_3_6_2_T, ''Text5''), (KnownT isoiec_9798_3_6_2_T_text_4))
, ((isoiec_9798_3_7_1_A, ''Text5''), (KnownT isoiec_9798_3_7_1_A_3))
, ((isoiec_9798_3_7_1_T, ''Text5''), (KnownT isoiec_9798_3_7_1_T_text_3))
, ((isoiec_9798_3_7_2_A, ''Text5''), (KnownT isoiec_9798_3_7_2_A_3))
, ((isoiec_9798_3_7_2_T, ''Text5''), (KnownT isoiec_9798_3_7_2_T_text_3))
, ((isoiec_9798_3_5_A, ''Text6''), (KnownT isoiec_9798_3_5_A_3))
, ((isoiec_9798_3_5_B, ''Text6''), (KnownT isoiec_9798_3_5_B_text_3))
, ((isoiec_9798_3_6_1_A, ''Text6''), (KnownT isoiec_9798_3_6_1_A_4))
, ((isoiec_9798_3_6_1_T, ''Text6''), (KnownT isoiec_9798_3_6_1_T_text_4))
, ((isoiec_9798_3_7_1_A, ''Text6''), (KnownT isoiec_9798_3_7_1_A_text_4))
, ((isoiec_9798_3_7_1_B, ''Text6''), (KnownT isoiec_9798_3_7_1_B_4))
, ((isoiec_9798_3_7_2_A, ''Text6''), (KnownT isoiec_9798_3_7_2_A_text_4))
, ((isoiec_9798_3_7_2_B, ''Text6''), (KnownT isoiec_9798_3_7_2_B_4))
, ((isoiec_9798_3_6_1_A, ''Text7''), (KnownT isoiec_9798_3_6_1_A_4))
, ((isoiec_9798_3_6_1_T, ''Text7''), (KnownT isoiec_9798_3_6_1_T_text_4))
, ((isoiec_9798_3_6_2_A, ''Text7''), (KnownT isoiec_9798_3_6_2_A_4))
, ((isoiec_9798_3_6_2_T, ''Text7''), (KnownT isoiec_9798_3_6_2_T_text_4))
, ((isoiec_9798_3_7_1_A, ''Text7''), (KnownT isoiec_9798_3_7_1_A_text_4))
, ((isoiec_9798_3_7_2_A, ''Text7''), (KnownT isoiec_9798_3_7_2_A_text_4))
, ((isoiec_9798_3_6_1_A, ''Text8''), (KnownT isoiec_9798_3_6_1_A_text_5))
, ((isoiec_9798_3_6_1_B, ''Text8''), (KnownT isoiec_9798_3_6_1_B_5))
, ((isoiec_9798_3_6_2_A, ''Text8''), (KnownT isoiec_9798_3_6_2_A_text_5))
, ((isoiec_9798_3_6_2_B, ''Text8''), (KnownT isoiec_9798_3_6_2_B_5))
, ((isoiec_9798_3_7_1_A, ''Text8''), (KnownT isoiec_9798_3_7_1_A_5))
, ((isoiec_9798_3_7_1_B, ''Text8''), (KnownT isoiec_9798_3_7_1_B_text_5))
, ((isoiec_9798_3_7_2_A, ''Text8''), (KnownT isoiec_9798_3_7_2_A_5))
, ((isoiec_9798_3_7_2_B, ''Text8''), (KnownT isoiec_9798_3_7_2_B_text_5))
, ((isoiec_9798_3_6_1_A, ''Text9''), (KnownT isoiec_9798_3_6_1_A_text_5))
, ((isoiec_9798_3_6_1_B, ''Text9''), (KnownT isoiec_9798_3_6_1_B_5))
, ((isoiec_9798_3_6_2_A, ''Text9''), (KnownT isoiec_9798_3_6_2_A_text_5))
, ((isoiec_9798_3_6_2_B, ''Text9''), (KnownT isoiec_9798_3_6_2_B_5))
, ((isoiec_9798_3_7_1_A, ''Text9''), (KnownT isoiec_9798_3_7_1_A_5))
, ((isoiec_9798_3_7_1_B, ''Text9''), (KnownT isoiec_9798_3_7_1_B_4))
, ((isoiec_9798_3_7_2_A, ''Text9''), (KnownT isoiec_9798_3_7_2_A_5))
, ((isoiec_9798_3_7_2_B, ''Text9''), (KnownT isoiec_9798_3_7_2_B_4))
, ((isoiec_9798_3_6_1_A, ''TokenBA''), (KnownT isoiec_9798_3_6_1_A_2))
, ((isoiec_9798_3_6_2_A, ''TokenBA''), (KnownT isoiec_9798_3_6_2_A_2))
, ((isoiec_9798_3_6_2_A, ''TokenTA''), (KnownT isoiec_9798_3_6_2_A_4))
, ((isoiec_9798_3_7_2_A, ''TokenTA''), (KnownT isoiec_9798_3_7_2_A_3))
, ((isoiec_9798_3_6_1_A, ''TokenTA_for_B''),
(KnownT isoiec_9798_3_6_1_A_4))
, ((isoiec_9798_3_7_1_A, ''TokenTA_for_B''),
(KnownT isoiec_9798_3_7_1_A_3))
, ((isoiec_9798_3_6_1_B, ''pkA''), (KnownT isoiec_9798_3_6_1_B_5))
, ((isoiec_9798_3_6_2_A, ''pkA''),
(KnownT isoiec_9798_3_6_2_A_check_4_in))
, ((isoiec_9798_3_6_2_B, ''pkA''), (KnownT isoiec_9798_3_6_2_B_5))
, ((isoiec_9798_3_7_1_B, ''pkA''), (KnownT isoiec_9798_3_7_1_B_4))
, ((isoiec_9798_3_7_2_A, ''pkA''),
(KnownT isoiec_9798_3_7_2_A_check_3_in))
, ((isoiec_9798_3_7_2_B, ''pkA''), (KnownT isoiec_9798_3_7_2_B_4))
, ((isoiec_9798_3_6_1_A, ''pkB''), (KnownT isoiec_9798_3_6_1_A_4))
, ((isoiec_9798_3_6_2_A, ''pkB''), (KnownT isoiec_9798_3_6_2_A_4))
, ((isoiec_9798_3_6_2_B, ''pkB''), (KnownT isoiec_9798_3_6_2_B_5))
, ((isoiec_9798_3_7_1_A, ''pkB''), (KnownT isoiec_9798_3_7_1_A_3))
, ((isoiec_9798_3_7_2_A, ''pkB''), (KnownT isoiec_9798_3_7_2_A_3))
, ((isoiec_9798_3_7_2_B, ''pkB''), (KnownT isoiec_9798_3_7_2_B_4))
]"
sublocale isoiec_9798_3_state < isoiec_9798_3_composed_typing_state
proof -
have "(t,r,s) : approx isoiec_9798_3_composed_typing"
proof(cases rule: reachable_in_approxI_ext
[OF isoiec_9798_3_composed_typing.monoTyp, completeness_cases_rule])
case (isoiec_9798_3_1_A_text_1_Text1 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_1_A_text_1_Text2 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_1_B_1_A t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_1_B_1_TNA t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_1_B_1_Text1 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_1_B_1_Text2 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_2_A_1_B t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_2_A_1_Rb t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_2_A_1_Text1 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_2_A_text_2_Text2 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_2_A_text_2_Text3 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_2_B_2_Ra t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_2_B_2_Text2 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_2_B_2_Text3 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_3_A_text_1_Text1 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_3_A_text_1_Text2 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_3_A_2_TNB t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_3_A_2_Text3 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_3_A_2_Text4 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_3_B_1_A t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_3_B_1_TNA t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_3_B_1_Text1 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_3_B_1_Text2 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_3_B_text_2_Text3 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_3_B_text_2_Text4 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_4_A_1_B t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_4_A_1_RB t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_4_A_1_Text1 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_4_A_text_2_Text2 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_4_A_text_2_Text3 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_4_A_3_Text4 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_4_A_3_Text5 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_4_B_2_RA t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_4_B_2_Text2 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_4_B_2_Text3 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_4_B_text_3_Text4 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_4_B_text_3_Text5 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_5_A_2_RB t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_5_A_2_Text2 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_5_A_3_Text5 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_5_A_3_Text6 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_5_A_text_4_Text3 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_5_A_text_4_Text4 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_5_B_1_A t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_5_B_1_RA t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_5_B_1_Text1 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_5_B_text_3_Text5 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_5_B_text_3_Text6 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_5_B_4_Text3 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_5_B_4_Text4 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_1_A_2_Rb t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_1_A_2_Text3 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_1_A_2_TokenBA t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_1_A_4_Text6 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_1_A_4_Text7 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_1_A_4_TokenTA_for_B t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_1_A_4_pkB t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_1_A_check_4_in_Text2 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
proof(sources! "
Enc {| LC ''check_4'',
{| LC ''isoiec_9798_3_6_opt_1_sig_2'', s(AV ''B'' tid0), LN ''Ra'' tid0,
s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''Text2'' tid0)
|},
Enc {| LC ''isoiec_9798_3_6_opt_1_sig_2'', s(AV ''B'' tid0),
LN ''Ra'' tid0, s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''Text2'' tid0)
|}
( inv(s(MV ''pkB'' tid0)) )
|}
( LN ''check_nonce_4'' tid0 ) ")
qed (insert facts, ((fastsimp intro: event_predOrdI split: if_splits) | (fastsimp intro: event_predOrdI split: if_splits))+)?
next
case (isoiec_9798_3_6_1_A_text_5_Text8 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_1_A_text_5_Text9 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_1_B_1_A t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_1_B_1_Ra t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_1_B_1_Text1 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_1_B_text_2_Text2 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_1_B_text_2_Text3 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_1_B_5_Ra5 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_1_B_5_T t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_1_B_5_Text5 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_1_B_5_Text8 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_1_B_5_Text9 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_1_B_5_pkA t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_1_T_3_A t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_1_T_3_B t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_1_T_3_Rb t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_1_T_3_Rpa t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_1_T_3_Text4 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_1_T_text_4_Text5 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_1_T_text_4_Text6 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_1_T_text_4_Text7 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_2_A_2_Rb t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_2_A_2_Text3 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_2_A_2_TokenBA t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_2_A_4_Text7 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_2_A_4_TokenTA t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_2_A_4_pkB t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_2_A_check_4_in_Text2 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
proof(sources! "
Enc {| LC ''check_4'',
{| {| LC ''isoiec_9798_3_6_opt_2_sig_4'', LN ''Rpa'' tid0,
s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''pkA'' tid0),
s(AV ''B'' tid0), s(MV ''pkB'' tid0), s(MV ''Text5'' tid0)
|},
Enc {| LC ''isoiec_9798_3_6_opt_2_sig_4'', LN ''Rpa'' tid0,
s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''pkA'' tid0),
s(AV ''B'' tid0), s(MV ''pkB'' tid0), s(MV ''Text5'' tid0)
|}
( SK ( s(AV ''T'' tid0) ) )
|},
{| LC ''isoiec_9798_3_6_opt_2_sig_2'', s(AV ''B'' tid0), LN ''Ra'' tid0,
s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''Text2'' tid0)
|},
Enc {| LC ''isoiec_9798_3_6_opt_2_sig_2'', s(AV ''B'' tid0),
LN ''Ra'' tid0, s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''Text2'' tid0)
|}
( inv(s(MV ''pkB'' tid0)) )
|}
( LN ''check_nonce_4'' tid0 ) ")
qed (insert facts, ((fastsimp intro: event_predOrdI split: if_splits) | (fastsimp intro: event_predOrdI split: if_splits))+)?
next
case (isoiec_9798_3_6_2_A_check_4_in_Text5 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
proof(sources! "
Enc {| LC ''check_4'',
{| {| LC ''isoiec_9798_3_6_opt_2_sig_4'', LN ''Rpa'' tid0,
s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''pkA'' tid0),
s(AV ''B'' tid0), s(MV ''pkB'' tid0), s(MV ''Text5'' tid0)
|},
Enc {| LC ''isoiec_9798_3_6_opt_2_sig_4'', LN ''Rpa'' tid0,
s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''pkA'' tid0),
s(AV ''B'' tid0), s(MV ''pkB'' tid0), s(MV ''Text5'' tid0)
|}
( SK ( s(AV ''T'' tid0) ) )
|},
{| LC ''isoiec_9798_3_6_opt_2_sig_2'', s(AV ''B'' tid0), LN ''Ra'' tid0,
s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''Text2'' tid0)
|},
Enc {| LC ''isoiec_9798_3_6_opt_2_sig_2'', s(AV ''B'' tid0),
LN ''Ra'' tid0, s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''Text2'' tid0)
|}
( inv(s(MV ''pkB'' tid0)) )
|}
( LN ''check_nonce_4'' tid0 ) ")
qed (insert facts, ((fastsimp intro: event_predOrdI split: if_splits) | (fastsimp intro: event_predOrdI split: if_splits))+)?
next
case (isoiec_9798_3_6_2_A_check_4_in_pkA t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
proof(sources! "
Enc {| LC ''check_4'',
{| {| LC ''isoiec_9798_3_6_opt_2_sig_4'', LN ''Rpa'' tid0,
s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''pkA'' tid0),
s(AV ''B'' tid0), s(MV ''pkB'' tid0), s(MV ''Text5'' tid0)
|},
Enc {| LC ''isoiec_9798_3_6_opt_2_sig_4'', LN ''Rpa'' tid0,
s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''pkA'' tid0),
s(AV ''B'' tid0), s(MV ''pkB'' tid0), s(MV ''Text5'' tid0)
|}
( SK ( s(AV ''T'' tid0) ) )
|},
{| LC ''isoiec_9798_3_6_opt_2_sig_2'', s(AV ''B'' tid0), LN ''Ra'' tid0,
s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''Text2'' tid0)
|},
Enc {| LC ''isoiec_9798_3_6_opt_2_sig_2'', s(AV ''B'' tid0),
LN ''Ra'' tid0, s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''Text2'' tid0)
|}
( inv(s(MV ''pkB'' tid0)) )
|}
( LN ''check_nonce_4'' tid0 ) ")
qed (insert facts, ((fastsimp intro: event_predOrdI split: if_splits) | (fastsimp intro: event_predOrdI split: if_splits))+)?
next
case (isoiec_9798_3_6_2_A_text_5_Text8 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_2_A_text_5_Text9 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_2_B_1_A t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_2_B_1_Ra t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_2_B_1_Text1 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_2_B_text_2_Text2 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_2_B_text_2_Text3 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_2_B_5_Ra5 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_2_B_5_Rpa t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_2_B_5_T t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_2_B_5_Text5 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_2_B_5_Text8 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_2_B_5_Text9 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_2_B_5_pkA t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_2_B_5_pkB t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_2_T_3_A t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_2_T_3_B t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_2_T_3_Rb t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_2_T_3_Rpa t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_2_T_3_Text4 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_2_T_text_4_Text5 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_6_2_T_text_4_Text7 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_1_A_1_B t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_1_A_1_Rb t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_1_A_1_Text1 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_1_A_3_Text4 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_1_A_3_Text5 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_1_A_3_TokenTA_for_B t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_1_A_3_pkB t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_1_A_text_4_Text6 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_1_A_text_4_Text7 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_1_A_5_Text8 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_1_A_5_Text9 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_1_B_4_Ra t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_1_B_4_Rpa t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_1_B_4_T t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_1_B_4_Text3 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_1_B_4_Text6 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_1_B_4_Text9 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_1_B_4_pkA t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_1_B_text_5_Text8 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_1_T_2_A t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_1_T_2_B t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_1_T_2_Rb t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_1_T_2_Rpa t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_1_T_2_Text2 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_1_T_text_3_Text3 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_1_T_text_3_Text4 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_1_T_text_3_Text5 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_2_A_1_B t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_2_A_1_Rb t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_2_A_1_Text1 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_2_A_3_Text5 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_2_A_3_TokenTA t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_2_A_3_pkB t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_2_A_check_3_in_Text3 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
proof(sources! "
Enc {| LC ''check_4'',
{| LC ''isoiec_9798_3_7_opt_2_sig_3'', LN ''Rpa'' tid0,
s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''pkA'' tid0),
s(MV ''B'' tid0), s(MV ''pkB'' tid0), s(MV ''Text3'' tid0)
|},
Enc {| LC ''isoiec_9798_3_7_opt_2_sig_3'', LN ''Rpa'' tid0,
s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''pkA'' tid0),
s(MV ''B'' tid0), s(MV ''pkB'' tid0), s(MV ''Text3'' tid0)
|}
( SK ( s(AV ''T'' tid0) ) )
|}
( LN ''check_nonce_4'' tid0 ) ")
qed (insert facts, ((fastsimp intro: event_predOrdI split: if_splits) | (fastsimp intro: event_predOrdI split: if_splits))+)?
next
case (isoiec_9798_3_7_2_A_check_3_in_pkA t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
proof(sources! "
Enc {| LC ''check_4'',
{| LC ''isoiec_9798_3_7_opt_2_sig_3'', LN ''Rpa'' tid0,
s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''pkA'' tid0),
s(MV ''B'' tid0), s(MV ''pkB'' tid0), s(MV ''Text3'' tid0)
|},
Enc {| LC ''isoiec_9798_3_7_opt_2_sig_3'', LN ''Rpa'' tid0,
s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''pkA'' tid0),
s(MV ''B'' tid0), s(MV ''pkB'' tid0), s(MV ''Text3'' tid0)
|}
( SK ( s(AV ''T'' tid0) ) )
|}
( LN ''check_nonce_4'' tid0 ) ")
qed (insert facts, ((fastsimp intro: event_predOrdI split: if_splits) | (fastsimp intro: event_predOrdI split: if_splits))+)?
next
case (isoiec_9798_3_7_2_A_text_4_Text6 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_2_A_text_4_Text7 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_2_A_5_Text8 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_2_A_5_Text9 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_2_B_4_Ra t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_2_B_4_Rpa t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_2_B_4_T t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_2_B_4_Text3 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_2_B_4_Text6 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_2_B_4_Text9 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_2_B_4_pkA t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_2_B_4_pkB t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_2_B_text_5_Text8 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_2_T_2_A t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_2_T_2_B t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_2_T_2_Rb t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_2_T_2_Rpa t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_2_T_2_Text2 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_2_T_text_3_Text3 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
next
case (isoiec_9798_3_7_2_T_text_3_Text5 t r s tid0) note facts = this
then interpret state: isoiec_9798_3_composed_typing_state t r s
by unfold_locales auto
show ?case using facts
by (fastsimp intro: event_predOrdI split: if_splits)
qed
thus "isoiec_9798_3_composed_typing_state t r s" by unfold_locales auto
qed
text{* Prove secrecy of long-term keys. *}
context isoiec_9798_3_state begin
(* This rule is unsafe in general, but OK here,
as we are only reasoning about static compromise.
*)
lemma static_longterm_key_reveal[dest!]:
"predOrd t (LKR a) e ==> RLKR a : reveals t"
by (auto intro: compr_predOrdI)
lemma longterm_private_key_secrecy:
assumes facts:
"SK m : knows t"
"RLKR m ~: reveals t"
shows "False"
using facts by (sources "SK m")
lemma longterm_sym_ud_key_secrecy:
assumes facts:
"K m1 m2 : knows t"
"RLKR m1 ~: reveals t"
"RLKR m2 ~: reveals t"
shows "False"
using facts by (sources "K m1 m2")
lemma longterm_sym_bd_key_secrecy:
assumes facts:
"Kbd m1 m2 : knows t"
"RLKR m1 ~: reveals t"
"RLKR m2 ~: reveals t"
"m1 : Agent"
"m2 : Agent"
shows "False"
proof -
from facts
have "KShr (agents {m1, m2}) : knows t"
by (auto simp: Kbd_def)
thus ?thesis using facts
proof (sources "KShr (agents {m1, m2})")
qed (auto simp: agents_def Agent_def)
qed
lemmas ltk_secrecy =
longterm_sym_ud_key_secrecy
longterm_sym_ud_key_secrecy[OF in_knows_predOrd1]
longterm_sym_bd_key_secrecy
longterm_sym_bd_key_secrecy[OF in_knows_predOrd1]
longterm_private_key_secrecy
longterm_private_key_secrecy[OF in_knows_predOrd1]
end
lemma (in restricted_isoiec_9798_3_state) isoiec_9798_3_1_B_non_injective_agreement:
assumes facts:
"roleMap r tid0 = Some isoiec_9798_3_1_B"
"RLKR(s(MV ''A'' tid0)) ~: reveals t"
"( tid0, isoiec_9798_3_1_B_1 ) : steps t"
shows
"(? tid1.
roleMap r tid1 = Some isoiec_9798_3_1_A &
( tid1, isoiec_9798_3_1_A_1 ) : steps t &
{| s(AV ''A'' tid1), s(AV ''B'' tid1), LN ''TNA'' tid1,
s(MV ''Text1'' tid1)
|} = {| s(MV ''A'' tid0), s(AV ''B'' tid0), s(MV ''TNA'' tid0),
s(MV ''Text1'' tid0)
|})"
proof -
note_prefix_closed facts = facts
thus ?thesis proof(sources! "
Enc {| LC ''isoiec_9798_3_1_sig_1'', s(MV ''TNA'' tid0),
s(AV ''B'' tid0), s(MV ''Text1'' tid0)
|}
( SK ( s(MV ''A'' tid0) ) ) ")
case fake note_unified facts = this facts
thus ?thesis by (fastsimp dest!: ltk_secrecy)
next
case (isoiec_9798_3_1_A_1_enc tid1) note_unified facts = this facts
thus ?thesis by (fastsimp intro: event_predOrdI split: if_splits)
qed (insert facts, fastsimp+)?
qed
lemma (in restricted_isoiec_9798_3_state) isoiec_9798_3_2_B_non_injective_agreement:
assumes facts:
"roleMap r tid0 = Some isoiec_9798_3_2_B"
"RLKR(s(AV ''A'' tid0)) ~: reveals t"
"( tid0, isoiec_9798_3_2_B_2 ) : steps t"
shows
"(? tid1.
roleMap r tid1 = Some isoiec_9798_3_2_A &
( tid1, isoiec_9798_3_2_A_2 ) : steps t &
{| s(AV ''A'' tid1), s(MV ''B'' tid1), LN ''Ra'' tid1, s(MV ''Rb'' tid1),
s(MV ''Text2'' tid1)
|} = {| s(AV ''A'' tid0), s(AV ''B'' tid0), s(MV ''Ra'' tid0),
LN ''Rb'' tid0, s(MV ''Text2'' tid0)
|})"
proof -
note_prefix_closed facts = facts
thus ?thesis proof(sources! "
Enc {| LC ''isoiec_9798_3_2_sig_2'', s(MV ''Ra'' tid0), LN ''Rb'' tid0,
s(AV ''B'' tid0), s(MV ''Text2'' tid0)
|}
( SK ( s(AV ''A'' tid0) ) ) ")
case fake note_unified facts = this facts
thus ?thesis by (fastsimp dest!: ltk_secrecy)
next
case (isoiec_9798_3_2_A_2_enc tid1) note_unified facts = this facts
thus ?thesis by (fastsimp intro: event_predOrdI split: if_splits)
qed (insert facts, fastsimp+)?
qed
lemma (in restricted_isoiec_9798_3_state) isoiec_9798_3_3_A_non_injective_agreement:
assumes facts:
"roleMap r tid0 = Some isoiec_9798_3_3_A"
"RLKR(s(AV ''B'' tid0)) ~: reveals t"
"( tid0, isoiec_9798_3_3_A_2 ) : steps t"
shows
"(? tid1.
roleMap r tid1 = Some isoiec_9798_3_3_B &
( tid1, isoiec_9798_3_3_B_2 ) : steps t &
{| s(MV ''A'' tid1), s(AV ''B'' tid1), LN ''TNB'' tid1,
s(MV ''Text3'' tid1)
|} = {| s(AV ''A'' tid0), s(AV ''B'' tid0), s(MV ''TNB'' tid0),
s(MV ''Text3'' tid0)
|})"
proof -
note_prefix_closed facts = facts
thus ?thesis proof(sources! "
Enc {| LC ''isoiec_9798_3_3_sig_2'', s(MV ''TNB'' tid0),
s(AV ''A'' tid0), s(MV ''Text3'' tid0)
|}
( SK ( s(AV ''B'' tid0) ) ) ")
case fake note_unified facts = this facts
thus ?thesis by (fastsimp dest!: ltk_secrecy)
next
case (isoiec_9798_3_3_B_2_enc tid1) note_unified facts = this facts
thus ?thesis by (fastsimp intro: event_predOrdI split: if_splits)
qed (insert facts, fastsimp+)?
qed
lemma (in restricted_isoiec_9798_3_state) isoiec_9798_3_3_B_non_injective_agreement:
assumes facts:
"roleMap r tid0 = Some isoiec_9798_3_3_B"
"RLKR(s(MV ''A'' tid0)) ~: reveals t"
"( tid0, isoiec_9798_3_3_B_1 ) : steps t"
shows
"(? tid1.
roleMap r tid1 = Some isoiec_9798_3_3_A &
( tid1, isoiec_9798_3_3_A_1 ) : steps t &
{| s(AV ''A'' tid1), s(AV ''B'' tid1), LN ''TNA'' tid1,
s(MV ''Text1'' tid1)
|} = {| s(MV ''A'' tid0), s(AV ''B'' tid0), s(MV ''TNA'' tid0),
s(MV ''Text1'' tid0)
|})"
proof -
note_prefix_closed facts = facts
thus ?thesis proof(sources! "
Enc {| LC ''isoiec_9798_3_3_sig_1'', s(MV ''TNA'' tid0),
s(AV ''B'' tid0), s(MV ''Text1'' tid0)
|}
( SK ( s(MV ''A'' tid0) ) ) ")
case fake note_unified facts = this facts
thus ?thesis by (fastsimp dest!: ltk_secrecy)
next
case (isoiec_9798_3_3_A_1_enc tid1) note_unified facts = this facts
thus ?thesis by (fastsimp intro: event_predOrdI split: if_splits)
qed (insert facts, fastsimp+)?
qed
lemma (in restricted_isoiec_9798_3_state) isoiec_9798_3_4_A_non_injective_agreement:
assumes facts:
"roleMap r tid0 = Some isoiec_9798_3_4_A"
"RLKR(s(AV ''A'' tid0)) ~: reveals t"
"RLKR(s(MV ''B'' tid0)) ~: reveals t"
"( tid0, isoiec_9798_3_4_A_3 ) : steps t"
shows
"(? tid1.
roleMap r tid1 = Some isoiec_9798_3_4_B &
( tid1, isoiec_9798_3_4_B_3 ) : steps t &
{| s(AV ''A'' tid1), s(AV ''B'' tid1), s(MV ''RA'' tid1), LN ''RB'' tid1,
s(MV ''Text2'' tid1), s(MV ''Text4'' tid1)
|} = {| s(AV ''A'' tid0), s(MV ''B'' tid0), LN ''RA'' tid0,
s(MV ''RB'' tid0), s(MV ''Text2'' tid0), s(MV ''Text4'' tid0)
|})"
proof -
note_prefix_closed facts = facts
thus ?thesis proof(sources! "
Enc {| LC ''isoiec_9798_3_4_sig_2'', s(MV ''RB'' tid0), LN ''RA'' tid0,
s(AV ''A'' tid0), s(MV ''Text4'' tid0)
|}
( SK ( s(MV ''B'' tid0) ) ) ")
case fake note_unified facts = this facts
thus ?thesis by (fastsimp dest!: ltk_secrecy)
next
case (isoiec_9798_3_4_B_3_enc tid1) note_unified facts = this facts
thus ?thesis proof(sources! "
Enc {| LC ''isoiec_9798_3_4_sig_1'', LN ''RA'' tid0, LN ''RB'' tid1,
s(AV ''B'' tid1), s(MV ''Text2'' tid1)
|}
( SK ( s(AV ''A'' tid0) ) ) ")
case fake note_unified facts = this facts
thus ?thesis by (fastsimp dest!: ltk_secrecy)
next
case (isoiec_9798_3_4_A_2_enc tid2) note_unified facts = this facts
thus ?thesis by (fastsimp intro: event_predOrdI split: if_splits)
qed (insert facts, fastsimp+)?
qed (insert facts, fastsimp+)?
qed
lemma (in restricted_isoiec_9798_3_state) isoiec_9798_3_4_B_non_injective_agreement:
assumes facts:
"roleMap r tid0 = Some isoiec_9798_3_4_B"
"RLKR(s(AV ''A'' tid0)) ~: reveals t"
"( tid0, isoiec_9798_3_4_B_2 ) : steps t"
shows
"(? tid1.
roleMap r tid1 = Some isoiec_9798_3_4_A &
( tid1, isoiec_9798_3_4_A_2 ) : steps t &
{| s(AV ''A'' tid1), s(MV ''B'' tid1), LN ''RA'' tid1, s(MV ''RB'' tid1),
s(MV ''Text2'' tid1)
|} = {| s(AV ''A'' tid0), s(AV ''B'' tid0), s(MV ''RA'' tid0),
LN ''RB'' tid0, s(MV ''Text2'' tid0)
|})"
proof -
note_prefix_closed facts = facts
thus ?thesis proof(sources! "
Enc {| LC ''isoiec_9798_3_4_sig_1'', s(MV ''RA'' tid0), LN ''RB'' tid0,
s(AV ''B'' tid0), s(MV ''Text2'' tid0)
|}
( SK ( s(AV ''A'' tid0) ) ) ")
case fake note_unified facts = this facts
thus ?thesis by (fastsimp dest!: ltk_secrecy)
next
case (isoiec_9798_3_4_A_2_enc tid1) note_unified facts = this facts
thus ?thesis by (fastsimp intro: event_predOrdI split: if_splits)
qed (insert facts, fastsimp+)?
qed
lemma (in restricted_isoiec_9798_3_state) isoiec_9798_3_5_A_non_injective_agreement:
assumes facts:
"roleMap r tid0 = Some isoiec_9798_3_5_A"
"RLKR(s(AV ''B'' tid0)) ~: reveals t"
"( tid0, isoiec_9798_3_5_A_3 ) : steps t"
shows
"(? tid1.
roleMap r tid1 = Some isoiec_9798_3_5_B &
( tid1, isoiec_9798_3_5_B_3 ) : steps t &
{| s(MV ''A'' tid1), s(AV ''B'' tid1), s(MV ''RA'' tid1), LN ''RB'' tid1,
s(MV ''Text5'' tid1)
|} = {| s(AV ''A'' tid0), s(AV ''B'' tid0), LN ''RA'' tid0,
s(MV ''RB'' tid0), s(MV ''Text5'' tid0)
|})"
proof -
note_prefix_closed facts = facts
thus ?thesis proof(sources! "
Enc {| LC ''isoiec_9798_3_5_sig_1'', s(MV ''RB'' tid0), LN ''RA'' tid0,
s(AV ''A'' tid0), s(MV ''Text5'' tid0)
|}
( SK ( s(AV ''B'' tid0) ) ) ")
case fake note_unified facts = this facts
thus ?thesis by (fastsimp dest!: ltk_secrecy)
next
case (isoiec_9798_3_5_B_3_enc tid1) note_unified facts = this facts
thus ?thesis by (fastsimp intro: event_predOrdI split: if_splits)
qed (insert facts, fastsimp+)?
qed
lemma (in restricted_isoiec_9798_3_state) isoiec_9798_3_5_B_non_injective_agreement:
assumes facts:
"roleMap r tid0 = Some isoiec_9798_3_5_B"
"RLKR(s(AV ''B'' tid0)) ~: reveals t"
"RLKR(s(MV ''A'' tid0)) ~: reveals t"
"( tid0, isoiec_9798_3_5_B_4 ) : steps t"
shows
"(? tid1.
roleMap r tid1 = Some isoiec_9798_3_5_A &
( tid1, isoiec_9798_3_5_A_4 ) : steps t &
{| s(AV ''A'' tid1), s(AV ''B'' tid1), LN ''RA'' tid1, s(MV ''RB'' tid1),
s(MV ''Text3'' tid1), s(MV ''Text5'' tid1)
|} = {| s(MV ''A'' tid0), s(AV ''B'' tid0), s(MV ''RA'' tid0),
LN ''RB'' tid0, s(MV ''Text3'' tid0), s(MV ''Text5'' tid0)
|})"
proof -
note_prefix_closed facts = facts
thus ?thesis proof(sources! "
Enc {| LC ''isoiec_9798_3_5_sig_2'', s(MV ''RA'' tid0), LN ''RB'' tid0,
s(AV ''B'' tid0), s(MV ''Text3'' tid0)
|}
( SK ( s(MV ''A'' tid0) ) ) ")
case fake note_unified facts = this facts
thus ?thesis by (fastsimp dest!: ltk_secrecy)
next
case (isoiec_9798_3_5_A_4_enc tid1) note_unified facts = this facts
thus ?thesis proof(sources! "
Enc {| LC ''isoiec_9798_3_5_sig_1'', LN ''RB'' tid0, LN ''RA'' tid1,
s(AV ''A'' tid1), s(MV ''Text5'' tid1)
|}
( SK ( s(AV ''B'' tid0) ) ) ")
case fake note_unified facts = this facts
thus ?thesis by (fastsimp dest!: ltk_secrecy)
next
case (isoiec_9798_3_5_B_3_enc tid2) note_unified facts = this facts
thus ?thesis by (fastsimp intro: event_predOrdI split: if_splits)
qed (insert facts, fastsimp+)?
qed (insert facts, fastsimp+)?
qed
lemma (in restricted_isoiec_9798_3_state) isoiec_9798_3_6_1_A_non_injective_agreement:
assumes facts:
"roleMap r tid0 = Some isoiec_9798_3_6_1_A"
"RLKR(s(AV ''B'' tid0)) ~: reveals t"
"RLKR(s(AV ''T'' tid0)) ~: reveals t"
"( tid0, isoiec_9798_3_6_1_A_5 ) : steps t"
shows
"(? tid1.
roleMap r tid1 = Some isoiec_9798_3_6_1_B &
( tid1, isoiec_9798_3_6_1_B_2 ) : steps t &
{| s(MV ''A'' tid1), s(AV ''B'' tid1), s(MV ''Ra'' tid1), LN ''Rb'' tid1,
s(MV ''Text2'' tid1)
|} = {| s(AV ''A'' tid0), s(AV ''B'' tid0), LN ''Ra'' tid0,
s(MV ''Rb'' tid0), s(MV ''Text2'' tid0)
|})"
proof -
note_prefix_closed facts = facts
thus ?thesis proof(sources! "
Enc {| LC ''check_4'',
{| LC ''isoiec_9798_3_6_opt_1_sig_2'', s(AV ''B'' tid0), LN ''Ra'' tid0,
s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''Text2'' tid0)
|},
Enc {| LC ''isoiec_9798_3_6_opt_1_sig_2'', s(AV ''B'' tid0),
LN ''Ra'' tid0, s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''Text2'' tid0)
|}
( inv(s(MV ''pkB'' tid0)) )
|}
( LN ''check_nonce_4'' tid0 ) ")
case fake note_unified facts = this facts
thus ?thesis proof(sources! " LN ''check_nonce_4'' tid0 ")
qed (insert facts, fastsimp+)?
next
case (isoiec_9798_3_6_1_A_check_4_out_enc tid1) note_unified facts = this facts
thus ?thesis proof(sources! "
Enc {| LC ''isoiec_9798_3_6_opt_1_sig_2'', s(AV ''B'' tid0),
LN ''Ra'' tid0, s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''Text2'' tid0)
|}
( inv(s(MV ''pkB'' tid0)) ) ")
case fake note_unified facts = this facts
thus ?thesis proof(sources! "
Enc {| LC ''isoiec_9798_3_6_opt_1_sig_4_1'', LN ''Rpa'' tid0,
s(AV ''B'' tid0), s(MV ''pkB'' tid0), s(MV ''Text6'' tid0)
|}
( SK ( s(AV ''T'' tid0) ) ) ")
case fake note_unified facts = this facts
thus ?thesis by (fastsimp dest!: ltk_secrecy)
next
case (isoiec_9798_3_6_1_T_4_enc tid1) note_unified facts = this facts
thus ?thesis by (fastsimp dest!: ltk_secrecy)
qed (insert facts, fastsimp+)?
next
case (isoiec_9798_3_6_1_B_2_enc tid1) note_unified facts = this facts
thus ?thesis by (fastsimp intro: event_predOrdI split: if_splits)
qed (insert facts, fastsimp+)?
qed (insert facts, fastsimp+)?
qed
lemma (in restricted_isoiec_9798_3_state) isoiec_9798_3_6_1_B_non_injective_agreement:
assumes facts:
"roleMap r tid0 = Some isoiec_9798_3_6_1_B"
"RLKR(s(MV ''A'' tid0)) ~: reveals t"
"RLKR(s(MV ''T'' tid0)) ~: reveals t"
"( tid0, isoiec_9798_3_6_1_B_5 ) : steps t"
shows
"(? tid1.
roleMap r tid1 = Some isoiec_9798_3_6_1_A &
( tid1, isoiec_9798_3_6_1_A_5 ) : steps t &
{| s(AV ''A'' tid1), s(AV ''B'' tid1), LN ''Ra'' tid1, s(MV ''Rb'' tid1),
s(MV ''Text8'' tid1)
|} = {| s(MV ''A'' tid0), s(AV ''B'' tid0), s(MV ''Ra5'' tid0),
LN ''Rb'' tid0, s(MV ''Text8'' tid0)
|})"
proof -
note_prefix_closed facts = facts
thus ?thesis proof(sources! "
Enc {| LC ''isoiec_9798_3_6_opt_1_sig_4_2'', LN ''Rb'' tid0,
s(MV ''A'' tid0), s(MV ''pkA'' tid0), s(MV ''Text5'' tid0)
|}
( SK ( s(MV ''T'' tid0) ) ) ")
case fake note_unified facts = this facts
thus ?thesis by (fastsimp dest!: ltk_secrecy)
next
case (isoiec_9798_3_6_1_T_4_enc_1 tid1) note_unified facts = this facts
thus ?thesis proof(sources! "
Enc {| LC ''isoiec_9798_3_6_opt_1_sig_5'', LN ''Rb'' tid0,
s(MV ''Ra5'' tid0), s(AV ''B'' tid0), s(MV ''A'' tid0),
s(MV ''Text8'' tid0)
|}
( SK ( s(MV ''A'' tid0) ) ) ")
case fake note_unified facts = this facts
thus ?thesis by (fastsimp dest!: ltk_secrecy)
next
case (isoiec_9798_3_6_1_A_5_enc tid2) note_unified facts = this facts
thus ?thesis by (fastsimp intro: event_predOrdI split: if_splits)
qed (insert facts, fastsimp+)?
qed (insert facts, fastsimp+)?
qed
lemma (in restricted_isoiec_9798_3_state) isoiec_9798_3_6_1_A_non_injective_agreement_T:
assumes facts:
"roleMap r tid0 = Some isoiec_9798_3_6_1_A"
"RLKR(s(AV ''T'' tid0)) ~: reveals t"
"( tid0, isoiec_9798_3_6_1_A_5 ) : steps t"
shows
"(? tid1.
roleMap r tid1 = Some isoiec_9798_3_6_1_T &
( tid1, isoiec_9798_3_6_1_T_4 ) : steps t &
{| s(MV ''B'' tid1), s(AV ''T'' tid1), s(MV ''Rpa'' tid1),
PK ( s(MV ''B'' tid1) ), s(MV ''Text6'' tid1)
|} = {| s(AV ''B'' tid0), s(AV ''T'' tid0), LN ''Rpa'' tid0,
s(MV ''pkB'' tid0), s(MV ''Text6'' tid0)
|})"
proof -
note_prefix_closed facts = facts
thus ?thesis proof(sources! "
Enc {| LC ''isoiec_9798_3_6_opt_1_sig_4_1'', LN ''Rpa'' tid0,
s(AV ''B'' tid0), s(MV ''pkB'' tid0), s(MV ''Text6'' tid0)
|}
( SK ( s(AV ''T'' tid0) ) ) ")
case fake note_unified facts = this facts
thus ?thesis by (fastsimp dest!: ltk_secrecy)
next
case (isoiec_9798_3_6_1_T_4_enc tid1) note_unified facts = this facts
thus ?thesis by (fastsimp intro: event_predOrdI split: if_splits)
qed (insert facts, fastsimp+)?
qed
lemma (in restricted_isoiec_9798_3_state) isoiec_9798_3_6_1_B_non_injective_agreement_T:
assumes facts:
"roleMap r tid0 = Some isoiec_9798_3_6_1_B"
"RLKR(s(MV ''T'' tid0)) ~: reveals t"
"( tid0, isoiec_9798_3_6_1_B_5 ) : steps t"
shows
"(? tid1.
roleMap r tid1 = Some isoiec_9798_3_6_1_T &
( tid1, isoiec_9798_3_6_1_T_4 ) : steps t &
{| s(MV ''A'' tid1), s(AV ''T'' tid1), s(MV ''Rb'' tid1),
PK ( s(MV ''A'' tid1) ), s(MV ''Text5'' tid1)
|} = {| s(MV ''A'' tid0), s(MV ''T'' tid0), LN ''Rb'' tid0,
s(MV ''pkA'' tid0), s(MV ''Text5'' tid0)
|})"
proof -
note_prefix_closed facts = facts
thus ?thesis proof(sources! "
Enc {| LC ''isoiec_9798_3_6_opt_1_sig_4_2'', LN ''Rb'' tid0,
s(MV ''A'' tid0), s(MV ''pkA'' tid0), s(MV ''Text5'' tid0)
|}
( SK ( s(MV ''T'' tid0) ) ) ")
case fake note_unified facts = this facts
thus ?thesis by (fastsimp dest!: ltk_secrecy)
next
case (isoiec_9798_3_6_1_T_4_enc_1 tid1) note_unified facts = this facts
thus ?thesis by (fastsimp intro: event_predOrdI split: if_splits)
qed (insert facts, fastsimp+)?
qed
lemma (in restricted_isoiec_9798_3_state) isoiec_9798_3_6_2_A_non_injective_agreement:
assumes facts:
"roleMap r tid0 = Some isoiec_9798_3_6_2_A"
"RLKR(s(AV ''B'' tid0)) ~: reveals t"
"RLKR(s(AV ''T'' tid0)) ~: reveals t"
"( tid0, isoiec_9798_3_6_2_A_5 ) : steps t"
shows
"(? tid1.
roleMap r tid1 = Some isoiec_9798_3_6_2_B &
( tid1, isoiec_9798_3_6_2_B_2 ) : steps t &
{| s(MV ''A'' tid1), s(AV ''B'' tid1), s(MV ''Ra'' tid1), LN ''Rb'' tid1,
s(MV ''Text2'' tid1)
|} = {| s(AV ''A'' tid0), s(AV ''B'' tid0), LN ''Ra'' tid0,
s(MV ''Rb'' tid0), s(MV ''Text2'' tid0)
|})"
proof -
note_prefix_closed facts = facts
thus ?thesis proof(sources! "
Enc {| LC ''check_4'',
{| {| LC ''isoiec_9798_3_6_opt_2_sig_4'', LN ''Rpa'' tid0,
s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''pkA'' tid0),
s(AV ''B'' tid0), s(MV ''pkB'' tid0), s(MV ''Text5'' tid0)
|},
Enc {| LC ''isoiec_9798_3_6_opt_2_sig_4'', LN ''Rpa'' tid0,
s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''pkA'' tid0),
s(AV ''B'' tid0), s(MV ''pkB'' tid0), s(MV ''Text5'' tid0)
|}
( SK ( s(AV ''T'' tid0) ) )
|},
{| LC ''isoiec_9798_3_6_opt_2_sig_2'', s(AV ''B'' tid0), LN ''Ra'' tid0,
s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''Text2'' tid0)
|},
Enc {| LC ''isoiec_9798_3_6_opt_2_sig_2'', s(AV ''B'' tid0),
LN ''Ra'' tid0, s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''Text2'' tid0)
|}
( inv(s(MV ''pkB'' tid0)) )
|}
( LN ''check_nonce_4'' tid0 ) ")
case fake note_unified facts = this facts
thus ?thesis proof(sources! " LN ''check_nonce_4'' tid0 ")
qed (insert facts, fastsimp+)?
next
case (isoiec_9798_3_6_2_A_check_4_out_enc tid1) note_unified facts = this facts
thus ?thesis proof(sources! "
Enc {| LC ''isoiec_9798_3_6_opt_2_sig_2'', s(AV ''B'' tid0),
LN ''Ra'' tid0, s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''Text2'' tid0)
|}
( inv(s(MV ''pkB'' tid0)) ) ")
case fake note_unified facts = this facts
thus ?thesis proof(sources! "
Enc {| LC ''isoiec_9798_3_6_opt_2_sig_4'', LN ''Rpa'' tid0,
s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''pkA'' tid0),
s(AV ''B'' tid0), s(MV ''pkB'' tid0), s(MV ''Text5'' tid0)
|}
( SK ( s(AV ''T'' tid0) ) ) ")
case fake note_unified facts = this facts
thus ?thesis by (fastsimp dest!: ltk_secrecy)
next
case (isoiec_9798_3_6_2_T_4_enc tid1) note_unified facts = this facts
thus ?thesis by (fastsimp dest!: ltk_secrecy)
qed (insert facts, fastsimp+)?
next
case (isoiec_9798_3_6_2_B_2_enc tid1) note_unified facts = this facts
thus ?thesis by (fastsimp intro: event_predOrdI split: if_splits)
qed (insert facts, fastsimp+)?
qed (insert facts, fastsimp+)?
qed
lemma (in restricted_isoiec_9798_3_state) isoiec_9798_3_6_2_B_non_injective_agreement:
assumes facts:
"roleMap r tid0 = Some isoiec_9798_3_6_2_B"
"RLKR(s(MV ''A'' tid0)) ~: reveals t"
"RLKR(s(MV ''T'' tid0)) ~: reveals t"
"( tid0, isoiec_9798_3_6_2_B_5 ) : steps t"
shows
"(? tid1.
roleMap r tid1 = Some isoiec_9798_3_6_2_A &
( tid1, isoiec_9798_3_6_2_A_5 ) : steps t &
{| s(AV ''A'' tid1), s(AV ''B'' tid1), LN ''Ra'' tid1, s(MV ''Rb'' tid1),
s(MV ''Text8'' tid1)
|} = {| s(MV ''A'' tid0), s(AV ''B'' tid0), s(MV ''Ra5'' tid0),
LN ''Rb'' tid0, s(MV ''Text8'' tid0)
|})"
proof -
note_prefix_closed facts = facts
thus ?thesis proof(sources! "
Enc {| LC ''isoiec_9798_3_6_opt_2_sig_4'', s(MV ''Rpa'' tid0),
LN ''Rb'' tid0, s(MV ''A'' tid0), s(MV ''pkA'' tid0), s(AV ''B'' tid0),
s(MV ''pkB'' tid0), s(MV ''Text5'' tid0)
|}
( SK ( s(MV ''T'' tid0) ) ) ")
case fake note_unified facts = this facts
thus ?thesis by (fastsimp dest!: ltk_secrecy)
next
case (isoiec_9798_3_6_2_T_4_enc tid1) note_unified facts = this facts
thus ?thesis proof(sources! "
Enc {| LC ''isoiec_9798_3_6_opt_2_sig_5'', LN ''Rb'' tid0,
s(MV ''Ra5'' tid0), s(AV ''B'' tid0), s(MV ''A'' tid0),
s(MV ''Text8'' tid0)
|}
( SK ( s(MV ''A'' tid0) ) ) ")
case fake note_unified facts = this facts
thus ?thesis by (fastsimp dest!: ltk_secrecy)
next
case (isoiec_9798_3_6_2_A_5_enc tid2) note_unified facts = this facts
thus ?thesis by (fastsimp intro: event_predOrdI split: if_splits)
qed (insert facts, fastsimp+)?
qed (insert facts, fastsimp+)?
qed
lemma (in restricted_isoiec_9798_3_state) isoiec_9798_3_6_2_A_non_injective_agreement_T:
assumes facts:
"roleMap r tid0 = Some isoiec_9798_3_6_2_A"
"RLKR(s(AV ''T'' tid0)) ~: reveals t"
"( tid0, isoiec_9798_3_6_2_A_5 ) : steps t"
shows
"(? tid1.
roleMap r tid1 = Some isoiec_9798_3_6_2_T &
( tid1, isoiec_9798_3_6_2_T_4 ) : steps t &
{| s(MV ''A'' tid1), s(MV ''B'' tid1), s(AV ''T'' tid1),
s(MV ''Rpa'' tid1), s(MV ''Rb'' tid1), PK ( s(MV ''A'' tid1) ),
PK ( s(MV ''B'' tid1) ), s(MV ''Text5'' tid1)
|} = {| s(AV ''A'' tid0), s(AV ''B'' tid0), s(AV ''T'' tid0),
LN ''Rpa'' tid0, s(MV ''Rb'' tid0), s(MV ''pkA'' tid0),
s(MV ''pkB'' tid0), s(MV ''Text5'' tid0)
|})"
proof -
note_prefix_closed facts = facts
thus ?thesis proof(sources! "
Enc {| LC ''check_4'',
{| {| LC ''isoiec_9798_3_6_opt_2_sig_4'', LN ''Rpa'' tid0,
s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''pkA'' tid0),
s(AV ''B'' tid0), s(MV ''pkB'' tid0), s(MV ''Text5'' tid0)
|},
Enc {| LC ''isoiec_9798_3_6_opt_2_sig_4'', LN ''Rpa'' tid0,
s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''pkA'' tid0),
s(AV ''B'' tid0), s(MV ''pkB'' tid0), s(MV ''Text5'' tid0)
|}
( SK ( s(AV ''T'' tid0) ) )
|},
{| LC ''isoiec_9798_3_6_opt_2_sig_2'', s(AV ''B'' tid0), LN ''Ra'' tid0,
s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''Text2'' tid0)
|},
Enc {| LC ''isoiec_9798_3_6_opt_2_sig_2'', s(AV ''B'' tid0),
LN ''Ra'' tid0, s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''Text2'' tid0)
|}
( inv(s(MV ''pkB'' tid0)) )
|}
( LN ''check_nonce_4'' tid0 ) ")
case fake note_unified facts = this facts
thus ?thesis proof(sources! " LN ''check_nonce_4'' tid0 ")
qed (insert facts, fastsimp+)?
next
case (isoiec_9798_3_6_2_A_check_4_out_enc tid1) note_unified facts = this facts
thus ?thesis proof(sources! "
Enc {| LC ''isoiec_9798_3_6_opt_2_sig_4'', LN ''Rpa'' tid0,
s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''pkA'' tid0),
s(AV ''B'' tid0), s(MV ''pkB'' tid0), s(MV ''Text5'' tid0)
|}
( SK ( s(AV ''T'' tid0) ) ) ")
case fake note_unified facts = this facts
thus ?thesis by (fastsimp dest!: ltk_secrecy)
next
case (isoiec_9798_3_6_2_T_4_enc tid1) note_unified facts = this facts
thus ?thesis by (fastsimp intro: event_predOrdI split: if_splits)
qed (insert facts, fastsimp+)?
qed (insert facts, fastsimp+)?
qed
lemma (in restricted_isoiec_9798_3_state) isoiec_9798_3_6_2_B_non_injective_agreement_T:
assumes facts:
"roleMap r tid0 = Some isoiec_9798_3_6_2_B"
"RLKR(s(MV ''T'' tid0)) ~: reveals t"
"( tid0, isoiec_9798_3_6_2_B_5 ) : steps t"
shows
"(? tid1.
roleMap r tid1 = Some isoiec_9798_3_6_2_T &
( tid1, isoiec_9798_3_6_2_T_4 ) : steps t &
{| s(MV ''A'' tid1), s(MV ''B'' tid1), s(AV ''T'' tid1),
s(MV ''Rpa'' tid1), s(MV ''Rb'' tid1), PK ( s(MV ''A'' tid1) ),
PK ( s(MV ''B'' tid1) ), s(MV ''Text5'' tid1)
|} = {| s(MV ''A'' tid0), s(AV ''B'' tid0), s(MV ''T'' tid0),
s(MV ''Rpa'' tid0), LN ''Rb'' tid0, s(MV ''pkA'' tid0),
s(MV ''pkB'' tid0), s(MV ''Text5'' tid0)
|})"
proof -
note_prefix_closed facts = facts
thus ?thesis proof(sources! "
Enc {| LC ''isoiec_9798_3_6_opt_2_sig_4'', s(MV ''Rpa'' tid0),
LN ''Rb'' tid0, s(MV ''A'' tid0), s(MV ''pkA'' tid0), s(AV ''B'' tid0),
s(MV ''pkB'' tid0), s(MV ''Text5'' tid0)
|}
( SK ( s(MV ''T'' tid0) ) ) ")
case fake note_unified facts = this facts
thus ?thesis by (fastsimp dest!: ltk_secrecy)
next
case (isoiec_9798_3_6_2_T_4_enc tid1) note_unified facts = this facts
thus ?thesis by (fastsimp intro: event_predOrdI split: if_splits)
qed (insert facts, fastsimp+)?
qed
lemma (in restricted_isoiec_9798_3_state) isoiec_9798_3_7_1_A_non_injective_agreement:
assumes facts:
"roleMap r tid0 = Some isoiec_9798_3_7_1_A"
"RLKR(s(AV ''T'' tid0)) ~: reveals t"
"RLKR(s(MV ''B'' tid0)) ~: reveals t"
"( tid0, isoiec_9798_3_7_1_A_5 ) : steps t"
shows
"(? tid1.
roleMap r tid1 = Some isoiec_9798_3_7_1_B &
( tid1, isoiec_9798_3_7_1_B_5 ) : steps t &
{| s(AV ''A'' tid1), s(AV ''B'' tid1), s(MV ''Ra'' tid1), LN ''Rb'' tid1,
s(MV ''Text8'' tid1)
|} = {| s(AV ''A'' tid0), s(MV ''B'' tid0), LN ''Ra'' tid0,
s(MV ''Rb'' tid0), s(MV ''Text8'' tid0)
|})"
proof -
note_prefix_closed facts = facts
thus ?thesis proof(sources! "
Enc {| LC ''isoiec_9798_3_7_opt_1_sig_3_1'', LN ''Rpa'' tid0,
s(MV ''B'' tid0), s(MV ''pkB'' tid0), s(MV ''Text4'' tid0)
|}
( SK ( s(AV ''T'' tid0) ) ) ")
case fake note_unified facts = this facts
thus ?thesis by (fastsimp dest!: ltk_secrecy)
next
case (isoiec_9798_3_7_1_T_3_enc tid1) note_unified facts = this facts
thus ?thesis proof(sources! "
Enc {| LC ''isoiec_9798_3_7_opt_1_sig_5'', LN ''Ra'' tid0,
s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''B'' tid0),
s(MV ''Text8'' tid0)
|}
( SK ( s(MV ''B'' tid0) ) ) ")
case fake note_unified facts = this facts
thus ?thesis by (fastsimp dest!: ltk_secrecy)
next
case (isoiec_9798_3_7_1_B_5_enc tid2) note_unified facts = this facts
thus ?thesis by (fastsimp intro: event_predOrdI split: if_splits)
qed (insert facts, fastsimp+)?
qed (insert facts, fastsimp+)?
qed
lemma (in restricted_isoiec_9798_3_state) isoiec_9798_3_7_1_B_non_injective_agreement:
assumes facts:
"roleMap r tid0 = Some isoiec_9798_3_7_1_B"
"RLKR(s(AV ''A'' tid0)) ~: reveals t"
"RLKR(s(MV ''T'' tid0)) ~: reveals t"
"( tid0, isoiec_9798_3_7_1_B_4 ) : steps t"
shows
"(? tid1.
roleMap r tid1 = Some isoiec_9798_3_7_1_A &
( tid1, isoiec_9798_3_7_1_A_4 ) : steps t &
{| s(AV ''A'' tid1), s(MV ''B'' tid1), LN ''Ra'' tid1, s(MV ''Rb'' tid1),
s(MV ''Text6'' tid1)
|} = {| s(AV ''A'' tid0), s(AV ''B'' tid0), s(MV ''Ra'' tid0),
LN ''Rb'' tid0, s(MV ''Text6'' tid0)
|})"
proof -
note_prefix_closed facts = facts
thus ?thesis proof(sources! "
Enc {| LC ''isoiec_9798_3_7_opt_1_sig_3_2'', LN ''Rb'' tid0,
s(AV ''A'' tid0), s(MV ''pkA'' tid0), s(MV ''Text3'' tid0)
|}
( SK ( s(MV ''T'' tid0) ) ) ")
case fake note_unified facts = this facts
thus ?thesis by (fastsimp dest!: ltk_secrecy)
next
case (isoiec_9798_3_7_1_T_3_enc_1 tid1) note_unified facts = this facts
thus ?thesis proof(sources! "
Enc {| LC ''isoiec_9798_3_7_opt_1_sig_4'', LN ''Rb'' tid0,
s(MV ''Ra'' tid0), s(AV ''B'' tid0), s(AV ''A'' tid0),
s(MV ''Text6'' tid0)
|}
( SK ( s(AV ''A'' tid0) ) ) ")
case fake note_unified facts = this facts
thus ?thesis by (fastsimp dest!: ltk_secrecy)
next
case (isoiec_9798_3_7_1_A_4_enc tid2) note_unified facts = this facts
thus ?thesis by (fastsimp intro: event_predOrdI split: if_splits)
qed (insert facts, fastsimp+)?
qed (insert facts, fastsimp+)?
qed
lemma (in restricted_isoiec_9798_3_state) isoiec_9798_3_7_1_A_non_injective_agreement_T:
assumes facts:
"roleMap r tid0 = Some isoiec_9798_3_7_1_A"
"RLKR(s(AV ''T'' tid0)) ~: reveals t"
"( tid0, isoiec_9798_3_7_1_A_3 ) : steps t"
shows
"(? tid1.
roleMap r tid1 = Some isoiec_9798_3_7_1_T &
( tid1, isoiec_9798_3_7_1_T_3 ) : steps t &
{| s(MV ''B'' tid1), s(AV ''T'' tid1), s(MV ''Rpa'' tid1),
PK ( s(MV ''B'' tid1) ), s(MV ''Text4'' tid1)
|} = {| s(MV ''B'' tid0), s(AV ''T'' tid0), LN ''Rpa'' tid0,
s(MV ''pkB'' tid0), s(MV ''Text4'' tid0)
|})"
proof -
note_prefix_closed facts = facts
thus ?thesis proof(sources! "
Enc {| LC ''isoiec_9798_3_7_opt_1_sig_3_1'', LN ''Rpa'' tid0,
s(MV ''B'' tid0), s(MV ''pkB'' tid0), s(MV ''Text4'' tid0)
|}
( SK ( s(AV ''T'' tid0) ) ) ")
case fake note_unified facts = this facts
thus ?thesis by (fastsimp dest!: ltk_secrecy)
next
case (isoiec_9798_3_7_1_T_3_enc tid1) note_unified facts = this facts
thus ?thesis by (fastsimp intro: event_predOrdI split: if_splits)
qed (insert facts, fastsimp+)?
qed
lemma (in restricted_isoiec_9798_3_state) isoiec_9798_3_7_1_B_non_injective_agreement_T:
assumes facts:
"roleMap r tid0 = Some isoiec_9798_3_7_1_B"
"RLKR(s(MV ''T'' tid0)) ~: reveals t"
"( tid0, isoiec_9798_3_7_1_B_4 ) : steps t"
shows
"(? tid1.
roleMap r tid1 = Some isoiec_9798_3_7_1_T &
( tid1, isoiec_9798_3_7_1_T_3 ) : steps t &
{| s(MV ''A'' tid1), s(AV ''T'' tid1), s(MV ''Rb'' tid1),
PK ( s(MV ''A'' tid1) ), s(MV ''Text3'' tid1)
|} = {| s(AV ''A'' tid0), s(MV ''T'' tid0), LN ''Rb'' tid0,
s(MV ''pkA'' tid0), s(MV ''Text3'' tid0)
|})"
proof -
note_prefix_closed facts = facts
thus ?thesis proof(sources! "
Enc {| LC ''isoiec_9798_3_7_opt_1_sig_3_2'', LN ''Rb'' tid0,
s(AV ''A'' tid0), s(MV ''pkA'' tid0), s(MV ''Text3'' tid0)
|}
( SK ( s(MV ''T'' tid0) ) ) ")
case fake note_unified facts = this facts
thus ?thesis by (fastsimp dest!: ltk_secrecy)
next
case (isoiec_9798_3_7_1_T_3_enc_1 tid1) note_unified facts = this facts
thus ?thesis by (fastsimp intro: event_predOrdI split: if_splits)
qed (insert facts, fastsimp+)?
qed
lemma (in restricted_isoiec_9798_3_state) isoiec_9798_3_7_2_A_non_injective_agreement:
assumes facts:
"roleMap r tid0 = Some isoiec_9798_3_7_2_A"
"RLKR(s(AV ''T'' tid0)) ~: reveals t"
"RLKR(s(MV ''B'' tid0)) ~: reveals t"
"( tid0, isoiec_9798_3_7_2_A_5 ) : steps t"
shows
"(? tid1.
roleMap r tid1 = Some isoiec_9798_3_7_2_B &
( tid1, isoiec_9798_3_7_2_B_5 ) : steps t &
{| s(AV ''A'' tid1), s(AV ''B'' tid1), s(MV ''Ra'' tid1), LN ''Rb'' tid1,
s(MV ''Text8'' tid1)
|} = {| s(AV ''A'' tid0), s(MV ''B'' tid0), LN ''Ra'' tid0,
s(MV ''Rb'' tid0), s(MV ''Text8'' tid0)
|})"
proof -
note_prefix_closed facts = facts
thus ?thesis proof(sources! "
Enc {| LC ''check_4'',
{| LC ''isoiec_9798_3_7_opt_2_sig_3'', LN ''Rpa'' tid0,
s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''pkA'' tid0),
s(MV ''B'' tid0), s(MV ''pkB'' tid0), s(MV ''Text3'' tid0)
|},
Enc {| LC ''isoiec_9798_3_7_opt_2_sig_3'', LN ''Rpa'' tid0,
s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''pkA'' tid0),
s(MV ''B'' tid0), s(MV ''pkB'' tid0), s(MV ''Text3'' tid0)
|}
( SK ( s(AV ''T'' tid0) ) )
|}
( LN ''check_nonce_4'' tid0 ) ")
case fake note_unified facts = this facts
thus ?thesis proof(sources! " LN ''check_nonce_4'' tid0 ")
qed (insert facts, fastsimp+)?
next
case (isoiec_9798_3_7_2_A_check_3_out_enc tid1) note_unified facts = this facts
thus ?thesis proof(sources! "
Enc {| LC ''isoiec_9798_3_7_opt_2_sig_3'', LN ''Rpa'' tid0,
s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''pkA'' tid0),
s(MV ''B'' tid0), s(MV ''pkB'' tid0), s(MV ''Text3'' tid0)
|}
( SK ( s(AV ''T'' tid0) ) ) ")
case fake note_unified facts = this facts
thus ?thesis by (fastsimp dest!: ltk_secrecy)
next
case (isoiec_9798_3_7_2_T_3_enc tid1) note_unified facts = this facts
thus ?thesis proof(sources! "
Enc {| LC ''isoiec_9798_3_7_opt_2_sig_5'', LN ''Ra'' tid0,
s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''B'' tid0),
s(MV ''Text8'' tid0)
|}
( SK ( s(MV ''B'' tid0) ) ) ")
case fake note_unified facts = this facts
thus ?thesis by (fastsimp dest!: ltk_secrecy)
next
case (isoiec_9798_3_7_2_B_5_enc tid2) note_unified facts = this facts
thus ?thesis by (fastsimp intro: event_predOrdI split: if_splits)
qed (insert facts, fastsimp+)?
qed (insert facts, fastsimp+)?
qed (insert facts, fastsimp+)?
qed
lemma (in restricted_isoiec_9798_3_state) isoiec_9798_3_7_2_B_non_injective_agreement:
assumes facts:
"roleMap r tid0 = Some isoiec_9798_3_7_2_B"
"RLKR(s(AV ''A'' tid0)) ~: reveals t"
"RLKR(s(MV ''T'' tid0)) ~: reveals t"
"( tid0, isoiec_9798_3_7_2_B_4 ) : steps t"
shows
"(? tid1.
roleMap r tid1 = Some isoiec_9798_3_7_2_A &
( tid1, isoiec_9798_3_7_2_A_4 ) : steps t &
{| s(AV ''A'' tid1), s(MV ''B'' tid1), LN ''Ra'' tid1, s(MV ''Rb'' tid1),
s(MV ''Text6'' tid1)
|} = {| s(AV ''A'' tid0), s(AV ''B'' tid0), s(MV ''Ra'' tid0),
LN ''Rb'' tid0, s(MV ''Text6'' tid0)
|})"
proof -
note_prefix_closed facts = facts
thus ?thesis proof(sources! "
Enc {| LC ''isoiec_9798_3_7_opt_2_sig_3'', s(MV ''Rpa'' tid0),
LN ''Rb'' tid0, s(AV ''A'' tid0), s(MV ''pkA'' tid0), s(AV ''B'' tid0),
s(MV ''pkB'' tid0), s(MV ''Text3'' tid0)
|}
( SK ( s(MV ''T'' tid0) ) ) ")
case fake note_unified facts = this facts
thus ?thesis by (fastsimp dest!: ltk_secrecy)
next
case (isoiec_9798_3_7_2_T_3_enc tid1) note_unified facts = this facts
thus ?thesis proof(sources! "
Enc {| LC ''isoiec_9798_3_7_opt_2_sig_4'', LN ''Rb'' tid0,
s(MV ''Ra'' tid0), s(AV ''B'' tid0), s(AV ''A'' tid0),
s(MV ''Text6'' tid0)
|}
( SK ( s(AV ''A'' tid0) ) ) ")
case fake note_unified facts = this facts
thus ?thesis by (fastsimp dest!: ltk_secrecy)
next
case (isoiec_9798_3_7_2_A_4_enc tid2) note_unified facts = this facts
thus ?thesis by (fastsimp intro: event_predOrdI split: if_splits)
qed (insert facts, fastsimp+)?
qed (insert facts, fastsimp+)?
qed
lemma (in restricted_isoiec_9798_3_state) isoiec_9798_3_7_2_A_non_injective_agreement_T:
assumes facts:
"roleMap r tid0 = Some isoiec_9798_3_7_2_A"
"RLKR(s(AV ''T'' tid0)) ~: reveals t"
"( tid0, isoiec_9798_3_7_2_A_4 ) : steps t"
shows
"(? tid1.
roleMap r tid1 = Some isoiec_9798_3_7_2_T &
( tid1, isoiec_9798_3_7_2_T_3 ) : steps t &
{| s(MV ''A'' tid1), s(MV ''B'' tid1), s(AV ''T'' tid1),
s(MV ''Rpa'' tid1), s(MV ''Rb'' tid1), PK ( s(MV ''A'' tid1) ),
PK ( s(MV ''B'' tid1) ), s(MV ''Text3'' tid1)
|} = {| s(AV ''A'' tid0), s(MV ''B'' tid0), s(AV ''T'' tid0),
LN ''Rpa'' tid0, s(MV ''Rb'' tid0), s(MV ''pkA'' tid0),
s(MV ''pkB'' tid0), s(MV ''Text3'' tid0)
|})"
proof -
note_prefix_closed facts = facts
thus ?thesis proof(sources! "
Enc {| LC ''check_4'',
{| LC ''isoiec_9798_3_7_opt_2_sig_3'', LN ''Rpa'' tid0,
s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''pkA'' tid0),
s(MV ''B'' tid0), s(MV ''pkB'' tid0), s(MV ''Text3'' tid0)
|},
Enc {| LC ''isoiec_9798_3_7_opt_2_sig_3'', LN ''Rpa'' tid0,
s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''pkA'' tid0),
s(MV ''B'' tid0), s(MV ''pkB'' tid0), s(MV ''Text3'' tid0)
|}
( SK ( s(AV ''T'' tid0) ) )
|}
( LN ''check_nonce_4'' tid0 ) ")
case fake note_unified facts = this facts
thus ?thesis proof(sources! " LN ''check_nonce_4'' tid0 ")
qed (insert facts, fastsimp+)?
next
case (isoiec_9798_3_7_2_A_check_3_out_enc tid1) note_unified facts = this facts
thus ?thesis proof(sources! "
Enc {| LC ''isoiec_9798_3_7_opt_2_sig_3'', LN ''Rpa'' tid0,
s(MV ''Rb'' tid0), s(AV ''A'' tid0), s(MV ''pkA'' tid0),
s(MV ''B'' tid0), s(MV ''pkB'' tid0), s(MV ''Text3'' tid0)
|}
( SK ( s(AV ''T'' tid0) ) ) ")
case fake note_unified facts = this facts
thus ?thesis by (fastsimp dest!: ltk_secrecy)
next
case (isoiec_9798_3_7_2_T_3_enc tid1) note_unified facts = this facts
thus ?thesis by (fastsimp intro: event_predOrdI split: if_splits)
qed (insert facts, fastsimp+)?
qed (insert facts, fastsimp+)?
qed
lemma (in restricted_isoiec_9798_3_state) isoiec_9798_3_7_2_B_non_injective_agreement_T:
assumes facts:
"roleMap r tid0 = Some isoiec_9798_3_7_2_B"
"RLKR(s(MV ''T'' tid0)) ~: reveals t"
"( tid0, isoiec_9798_3_7_2_B_4 ) : steps t"
shows
"(? tid1.
roleMap r tid1 = Some isoiec_9798_3_7_2_T &
( tid1, isoiec_9798_3_7_2_T_3 ) : steps t &
{| s(MV ''A'' tid1), s(MV ''B'' tid1), s(AV ''T'' tid1),
s(MV ''Rpa'' tid1), s(MV ''Rb'' tid1), PK ( s(MV ''A'' tid1) ),
PK ( s(MV ''B'' tid1) ), s(MV ''Text3'' tid1)
|} = {| s(AV ''A'' tid0), s(AV ''B'' tid0), s(MV ''T'' tid0),
s(MV ''Rpa'' tid0), LN ''Rb'' tid0, s(MV ''pkA'' tid0),
s(MV ''pkB'' tid0), s(MV ''Text3'' tid0)
|})"
proof -
note_prefix_closed facts = facts
thus ?thesis proof(sources! "
Enc {| LC ''isoiec_9798_3_7_opt_2_sig_3'', s(MV ''Rpa'' tid0),
LN ''Rb'' tid0, s(AV ''A'' tid0), s(MV ''pkA'' tid0), s(AV ''B'' tid0),
s(MV ''pkB'' tid0), s(MV ''Text3'' tid0)
|}
( SK ( s(MV ''T'' tid0) ) ) ")
case fake note_unified facts = this facts
thus ?thesis by (fastsimp dest!: ltk_secrecy)
next
case (isoiec_9798_3_7_2_T_3_enc tid1) note_unified facts = this facts
thus ?thesis by (fastsimp intro: event_predOrdI split: if_splits)
qed (insert facts, fastsimp+)?
qed
end