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Proof step 14 from proof validstatfield-addclass-same (previous step)

validval(str, fis[mkfs(class, ty, fieldvar) '], ty, st), mkfs(class, ty, fieldvar) ' ∈ statfields(class), tdname∃(str, class), type∃(str, ty), mkfs(class, ty, fieldvar) ' ∈ fis, initdone(class, addclass(class, fis, st)) ⊦ class = `java.lang.Object' .class, ty = void_type, (is_reftype(ty) → validrefval(str, fis[mkfs(class, ty, fieldvar) '], ty, addclass(class, fis, st))) ∧ goodfieldandtype(jvmref, mkfs(class, ty, fieldvar) ', addclass(class, fis, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ goodfieldandtype(r, sk, st) ↔ is_fskey(sk) ∧ r -- sk ∈ st ∧ okval(st[r -- sk], sk .fs .type)
Proof step 13:
validval(str, fis[mkfs(class, ty, fieldvar) '], ty, st), mkfs(class, ty, fieldvar) ' ∈ statfields(class), tdname∃(str, class), type∃(str, ty), mkfs(class, ty, fieldvar) ' ∈ fis, initdone(class, addclass(class, fis, st)) ⊦ class = `java.lang.Object' .class, ty = void_type, (is_reftype(ty) → validrefval(str, fis[mkfs(class, ty, fieldvar) '], ty, addclass(class, fis, st))) ∧ is_fskey(mkfs(class, ty, fieldvar) ') ∧ jvmref -- mkfs(class, ty, fieldvar) ' ∈ addclass(class, fis, st) ∧ okval(addclass(class, fis, st)[jvmref -- mkfs(class, ty, fieldvar) '], mkfs(class, ty, fieldvar) ' .fs .type)

Rule argument

[speclemmaarg: , goodfieldandtype(r, sk, st) ↔ is_fskey(sk) ∧ r -- sk ∈ st ∧ okval(st[r -- sk], sk .fs .type) ,[st, sk, r] → [addclass(class, fis, st), mkfs(class, ty, fieldvar) ', jvmref] ,F ,okfuns , ,good-field-def ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (addclass(class, fis, st), mkfs(class, ty, fieldvar) ', jvmref)]]