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Proof step 18 from proof initsubset-put-statfield-01 (previous step)

initdone(class3, st), initdone(class3, st0), tdname∃(str, class3), mkfs(class4, ty0, fieldvar0) ' ∈ statfields(class3), validstatfield(str, mkfs(class4, ty0, fieldvar0) ', st), ¬ mkfs(class4, ty0, fieldvar0) ' ∈ statfields(class4) ∨ ¬ tdname∃(str, class4), ∀ class, sk. initdone(class, st) ∧ initdone(class, st0) ∧ tdname∃(str, class) ∧ sk ∈ statfields(class) ∧ validstatfield(str, sk, st) → validstatfield(str, sk, st0), ∀ class. ¬ initdone(class, st) ∧ initdone(class, st0) ∧ tdname∃(str, class) → validstatfields(str, statfields(class), st0), initerror(class1, st) → initerror(class1, st0), initdone(class0, st) → initdone(class0, st0) ⊦ ty0 = void_type, (initdone(class4, st0) → validfield(str, jvmref, mkfs(class4, ty0, fieldvar0) ', st0[jvmref -- mkfs(class4, ty0, fieldvar0) ', val])) ∧ tdname∃(str, class4) ∧ mkfs(class4, ty0, fieldvar0) ' ∈ statfields(class4)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 17:
⊦ 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))

Rule argument

[crewrite-arg: validstatfield-storekey-def , F , [st, sk, str] → [st, mkfs(class4, ty0, fieldvar0) ', str] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_fskey(fs ')], [CSIMPSEQ : ⊦ fs ' .fs = fs], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .class = class])], [EXTRATERMS : (st, mkfs(class4, ty0, fieldvar0) ', str)]]