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Proof step 47 from proof validstatfield-put-norefval (previous step)

validstatfield(str, sk0, st), is_fskey(sk), okval(val, sk .fs .type), is_fskey(sk0) ⊦ sk = _length, sk .fs .type = void_type, is_referencevalue(val), (initdone(sk0 .fs .class, st[r -- sk, val]) → validfield(str, jvmref, sk0, st[r -- sk, val])) ∧ tdname∃(str, sk0 .fs .class) ∧ sk0 ∈ statfields(sk0 .fs .class)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 46:
sk0 = fs ', validstatfield(str, sk0, st), is_fskey(sk), okval(val, sk .fs .type), is_fskey(sk0) ⊦ sk = _length, sk .fs .type = void_type, is_referencevalue(val), (initdone(fs .class, st[r -- sk, val]) → validfield(str, jvmref, sk0, st[r -- sk, val])) ∧ tdname∃(str, fs .class) ∧ sk0 ∈ statfields(fs .class)

Rule argument

[speclemmaarg: ,is_fskey(sk) → (fs = sk .fs ↔ sk = fs ') ,[sk, fs] → [sk0, fs] ,T ,storekey , ,elim-03 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_fskey(sk) → (fs = sk .fs ↔ sk = fs ')])], [EXTRATERMS : (sk0, fs)]]