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Proof step 30 from proof validstatfields-addclass (previous step)

fis .keys = statfields(class0), validfieldinits(str, fis, st), tdname∃(str, class0), mkfs(class0, ty, fieldvar) ' ∈ statfields(class0), initdone(class0, addclass(class0, fis, st)) ⊦ class0 = `java.lang.Object' .class, goodfieldandtype(jvmref, mkfs(class0, ty, fieldvar) ', addclass(class0, fis, st)) ∧ type∃(str, mkfs(class0, ty, fieldvar) ' .fs .type) ∧ mkfs(class0, ty, fieldvar) ' .fs .type ≠ void_type ∧ ( is_reftype(mkfs(class0, ty, fieldvar) ' .fs .type) → validrefval (str, addclass(class0, fis, st)[jvmref -- mkfs(class0, ty, fieldvar) '], mkfs(class0, ty, fieldvar) ' .fs .type, addclass(class0, fis, st)))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ goodfieldandtype(r, sk, st) ↔ is_fskey(sk) ∧ r -- sk ∈ st ∧ okval(st[r -- sk], sk .fs .type)
Proof step 29:
fis .keys = statfields(class0), validfieldinits(str, fis, st), tdname∃(str, class0), mkfs(class0, ty, fieldvar) ' ∈ statfields(class0), initdone(class0, addclass(class0, fis, st)) ⊦ class0 = `java.lang.Object' .class, is_fskey(mkfs(class0, ty, fieldvar) ') ∧ jvmref -- mkfs(class0, ty, fieldvar) ' ∈ addclass(class0, fis, st) ∧ okval(addclass(class0, fis, st)[jvmref -- mkfs(class0, ty, fieldvar) '], mkfs(class0, ty, fieldvar) ' .fs .type) ∧ type∃(str, mkfs(class0, ty, fieldvar) ' .fs .type) ∧ mkfs(class0, ty, fieldvar) ' .fs .type ≠ void_type ∧ ( is_reftype(mkfs(class0, ty, fieldvar) ' .fs .type) → validrefval (str, addclass(class0, fis, st)[jvmref -- mkfs(class0, ty, fieldvar) '], mkfs(class0, ty, fieldvar) ' .fs .type, addclass(class0, fis, st)))

Rule argument

[speclemmaarg: , goodfieldandtype(r, sk, st) ↔ is_fskey(sk) ∧ r -- sk ∈ st ∧ okval(st[r -- sk], sk .fs .type) ,[st, sk, r] → [addclass(class0, fis, st), mkfs(class0, ty, fieldvar) ', jvmref] ,F ,okfuns , ,good-field-def ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (addclass(class0, fis, st), mkfs(class0, ty, fieldvar) ', jvmref)]]