diff --git a/changelog.md b/changelog.md
--- a/changelog.md
+++ b/changelog.md
@@ -1,3 +1,7 @@
+# 0.2
+
+* Support `inspection-testing-0.5`.
+
 # 0.1.0.1
 
 * Support GHC 9.4.
diff --git a/src/Test/Tasty/Inspection.hs b/src/Test/Tasty/Inspection.hs
--- a/src/Test/Tasty/Inspection.hs
+++ b/src/Test/Tasty/Inspection.hs
@@ -22,6 +22,9 @@
   , Property(..)
   , (===)
   , (==-)
+#if MIN_VERSION_inspection_testing(0,5,0)
+  , (==~)
+#endif
   , hasNoType
   , hasNoTypes
   , hasNoGenerics
@@ -41,6 +44,9 @@
 
 import Test.Tasty.Runners (TestTree(..))
 import Test.Inspection (Obligation(..), testName, mkObligation, Property(..), (===), (==-), hasNoType, hasNoGenerics, hasNoTypeClasses, hasNoTypeClassesExcept, doesNotUse, coreOf)
+#if MIN_VERSION_inspection_testing(0,5,0)
+import Test.Inspection ((==~))
+#endif
 import Test.Inspection.Plugin (prettyProperty)
 import Test.Tasty.Inspection.Internal (CheckResult)
 
diff --git a/tasty-inspection-testing.cabal b/tasty-inspection-testing.cabal
--- a/tasty-inspection-testing.cabal
+++ b/tasty-inspection-testing.cabal
@@ -1,5 +1,5 @@
 name:          tasty-inspection-testing
-version:       0.1.0.1
+version:       0.2
 cabal-version: 1.18
 build-type:    Simple
 license:       MIT
@@ -29,7 +29,7 @@
   other-modules:    Test.Tasty.Inspection.Internal
   build-depends:    base < 4.18,
                     ghc,
-                    inspection-testing >= 0.4.5 && < 0.5,
+                    inspection-testing >= 0.5 && < 0.6,
                     tasty,
                     template-haskell
   hs-source-dirs:   src