crazys.golden

MiniAgda by Andreas Abel and Karl Mehltretter
--- opening "crazys.ma" ---
--- scope checking ---
--- type checking ---
type  SNat : + Size -> Set
term  SNat.zero : .[s!ze : Size] -> .[i < s!ze] -> SNat s!ze
term  SNat.zero : .[i : Size] -> < SNat.zero i : SNat $i >
term  SNat.succ : .[s!ze : Size] -> .[i < s!ze] -> ^ SNat i -> SNat s!ze
term  SNat.succ : .[i : Size] -> ^(y1 : SNat i) -> < SNat.succ i y1 : SNat $i >
term  o2e : .[i : Size] -> SNat i -> SNat i
{ o2e [.$i] (SNat.zero [i]) = SNat.zero [i]
; o2e [.$$i] (SNat.succ [.$i] (SNat.zero [i])) = SNat.zero [$i]
; o2e [.$$i] (SNat.succ [.$i] (SNat.succ [i] x)) = SNat.succ [$i] (SNat.succ [i] (o2e [i] x))
}
term  crazy : .[i : Size] -> .[j : Size] -> SNat i -> SNat j -> SNat #
{ crazy [.$i] [j] (SNat.zero [i]) y = y
; crazy [.$i] [j] (SNat.succ [i] x) y = SNat.succ [#] (crazy [j] [i] y (o2e [i] x))
}
--- evaluating ---
--- closing "crazys.ma" ---