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Proof step 37 from proof validstatfields-addclass (previous step)

fis .keys = statfields(class), validfieldinits(str, fis, st), tdname∃(str, class), sk ∈ statfields(class), is_fskey(sk) ⊦ class = `java.lang.Object' .class, (initdone(sk .fs .class, addclass(class, fis, st)) → validfield(str, jvmref, sk, addclass(class, fis, st))) ∧ tdname∃(str, sk .fs .class) ∧ sk ∈ statfields(sk .fs .class)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 36:
sk = fs ', fis .keys = statfields(class), validfieldinits(str, fis, st), tdname∃(str, class), sk ∈ statfields(class), is_fskey(sk) ⊦ class = `java.lang.Object' .class, (initdone(fs .class, addclass(class, fis, st)) → validfield(str, jvmref, sk, addclass(class, fis, st))) ∧ tdname∃(str, fs .class) ∧ sk ∈ statfields(fs .class)

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)]]