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Proof step 21 from proof ac-in-03 (previous step)

is_fskey(sk), jvmref -- _type ∈ addclass(class1, fis0, st), jvmref ∈ addclass(class1, fis0, st), ∀ class, st0. jvmref -- _type ∈ addclass(class, fis0, st0) ∧ jvmref ∈ addclass(class, fis0, st0) → jvmref -- _type ∈ st0 ⊦ sk .fs .class = class1, _type = sk, _type ∈ fis0, jvmref -- _type ∈ st

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 20:
sk = fs ', is_fskey(sk), jvmref -- _type ∈ addclass(class1, fis0, st), jvmref ∈ addclass(class1, fis0, st), ∀ class, st0. jvmref -- _type ∈ addclass(class, fis0, st0) ∧ jvmref ∈ addclass(class, fis0, st0) → jvmref -- _type ∈ st0 ⊦ fs .class = class1, _type = sk, _type ∈ fis0, jvmref -- _type ∈ st

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)]]