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Proof step 43 from proof validstatfield-put-norefval (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ validstatfield(str, sk, st) ↔ is_fskey(sk) ∧ sk ∈ statfields(sk .fs .class) ∧ tdname∃(str, sk .fs .class) ∧ (initdone(sk .fs .class, st) → validfield(str, jvmref, sk, st))
Proof step 42:
is_fskey(mkfs(class, ty, fieldvar) ') ∧ mkfs(class, ty, fieldvar) ' ∈ statfields(mkfs(class, ty, fieldvar) ' .fs .class) ∧ tdname∃(str, mkfs(class, ty, fieldvar) ' .fs .class) ∧ (initdone(mkfs(class, ty, fieldvar) ' .fs .class, st) → validfield(str, jvmref, mkfs(class, ty, fieldvar) ', st)), is_fskey(sk), okval(val, sk .fs .type) ⊦ sk = _length, sk .fs .type = void_type, is_referencevalue(val), (initdone(class, st[r -- sk, val]) → validfield(str, jvmref, mkfs(class, ty, fieldvar) ', st[r -- sk, val])) ∧ tdname∃(str, class) ∧ mkfs(class, ty, fieldvar) ' ∈ statfields(class)

Rule argument

[crewrite-arg: validstatfield-storekey-def , F , [st, sk, str] → [st, mkfs(class, ty, fieldvar) ', str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, mkfs(class, ty, fieldvar) ', str)]]