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Proof step 8 from proof ac-in-03 (previous step)

sk .fs = mkfs(class1, ty, fieldvar), is_fskey(sk), jvmref ∈ addclass(class1, (sk × val) ' + fis0, st), jvmref -- _type ∈ addclass(class1, (sk × val) ' + fis0, st), ∀ class, st0. jvmref -- _type ∈ addclass(class, fis0, st0) ∧ jvmref ∈ addclass(class, fis0, st0) → jvmref -- _type ∈ st0 ⊦ _type = sk, jvmref -- _type ∈ st, _type ∈ fis0

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 7:
sk = fs ', fs = mkfs(class1, ty, fieldvar), is_fskey(sk), jvmref ∈ addclass(class1, (sk × val) ' + fis0, st), jvmref -- _type ∈ addclass(class1, (sk × val) ' + fis0, st), ∀ class, st0. jvmref -- _type ∈ addclass(class, fis0, st0) ∧ jvmref ∈ addclass(class, fis0, st0) → jvmref -- _type ∈ st0 ⊦ _type = sk, jvmref -- _type ∈ st, _type ∈ fis0

Rule argument

[speclemmaarg: ,is_fskey(sk) → (fs = sk .fs ↔ sk = fs ') ,[sk, fs] → [sk, fs] ,T ,storekey , ,elim-03 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_fskey(sk) → (fs = sk .fs ↔ sk = fs ')])], [EXTRATERMS : (sk, fs)]]