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Proof step 32 from proof validstatfields-class-01 (previous step)

initdone(class, st), tdname∃(str, class), sk ∈ statfields(class), validstatfield(str, sk, st), is_fskey(sk) ⊦ validval(str, st[jvmref -- sk], sk .fs .type, st) ∧ sk .fs .type ≠ void_type ∧ type∃(str, sk .fs .type) ∧ jvmref -- sk ∈ st

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 31:
sk = fs ', initdone(class, st), tdname∃(str, class), sk ∈ statfields(class), validstatfield(str, sk, st), is_fskey(sk) ⊦ validval(str, st[jvmref -- sk], fs .type, st) ∧ fs .type ≠ void_type ∧ type∃(str, fs .type) ∧ jvmref -- sk ∈ 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)]]