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Proof step 22 from proof initsubset-initerror (previous step)

sk .fs = mkfs(class0, ty, fieldvar), validstatfield(str, sk, st), sk ∈ statfields(class3), tdname∃(str, class3), initdone(class3, st) ⊦ initdone(class, st), ¬ is_indexkey(sk) ∧ sk ∈ statfields(class0) ∧ tdname∃(str, class0) ∧ ( initdone(class0, st[jvmref -- mkfs(class, void_type, `initstate' .field) ', initval(error)]) → validfield(str, jvmref, sk, st[jvmref -- mkfs(class, void_type, `initstate' .field) ', initval(error)]))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 13:
⊦ 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 21:
sk .fs = mkfs(class0, ty, fieldvar), is_fskey(sk) ∧ sk ∈ statfields(sk .fs .class) ∧ tdname∃(str, sk .fs .class) ∧ (initdone(sk .fs .class, st) → validfield(str, jvmref, sk, st)), sk ∈ statfields(class3), tdname∃(str, class3), initdone(class3, st) ⊦ initdone(class, st), ¬ is_indexkey(sk) ∧ sk ∈ statfields(class0) ∧ tdname∃(str, class0) ∧ ( initdone(class0, st[jvmref -- mkfs(class, void_type, `initstate' .field) ', initval(error)]) → validfield(str, jvmref, sk, st[jvmref -- mkfs(class, void_type, `initstate' .field) ', initval(error)]))

Rule argument

[crewrite-arg: validstatfield-storekey-def , F , [st, sk, str] → [st, sk, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, sk, str)]]