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Proof step 37 from proof validstatfield-put-norefval (previous step)

is_fskey(sk), okval(val, sk .fs .type), mkfs(class, ty, fieldvar) ' ∈ statfields(class), tdname∃(str, class), initdone(class, st[r -- sk, val]), initdone(class, st) → validfield(str, jvmref, mkfs(class, ty, fieldvar) ', st), jvmref ≠ r ∨ mkfs(class, ty, fieldvar) ' ≠ sk ⊦ sk = _length, sk .fs .type = void_type, ty = void_type, is_referencevalue(val), (is_reftype(ty) → validrefval(str, st[r -- sk, val][jvmref -- mkfs(class, ty, fieldvar) '], ty, st[r -- sk, val])) ∧ type∃(str, ty) ∧ goodfieldandtype(jvmref, mkfs(class, ty, fieldvar) ', st[r -- sk, val])

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 36:
sk = fs ', is_fskey(sk), okval(val, fs .type), mkfs(class, ty, fieldvar) ' ∈ statfields(class), tdname∃(str, class), initdone(class, st[r -- sk, val]), initdone(class, st) → validfield(str, jvmref, mkfs(class, ty, fieldvar) ', st), jvmref ≠ r ∨ mkfs(class, ty, fieldvar) ' ≠ sk ⊦ sk = _length, fs .type = void_type, ty = void_type, is_referencevalue(val), (is_reftype(ty) → validrefval(str, st[r -- sk, val][jvmref -- mkfs(class, ty, fieldvar) '], ty, st[r -- sk, val])) ∧ type∃(str, ty) ∧ goodfieldandtype(jvmref, mkfs(class, ty, fieldvar) ', st[r -- sk, val])

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)]]