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Proof step 16 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, validfield(str, jvmref, mkfs(class, ty, fieldvar) ', addclass(class, fis, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ validfield(str, r, sk, st) ↔ goodfieldandtype(r, sk, st) ∧ type∃(str, sk .fs .type) ∧ sk .fs .type ≠ void_type ∧ (is_reftype(sk .fs .type) → validrefval(str, st[r -- sk], sk .fs .type, st))
Proof step 15:
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, goodfieldandtype(jvmref, mkfs(class, ty, fieldvar) ', addclass(class, fis, st)) ∧ type∃(str, mkfs(class, ty, fieldvar) ' .fs .type) ∧ mkfs(class, ty, fieldvar) ' .fs .type ≠ void_type ∧ ( is_reftype(mkfs(class, ty, fieldvar) ' .fs .type) → validrefval (str, addclass(class, fis, st)[jvmref -- mkfs(class, ty, fieldvar) '], mkfs(class, ty, fieldvar) ' .fs .type, addclass(class, fis, st)))

Rule argument

[crewrite-arg: validfield-def , F , [st, sk, r, str] → [addclass(class, fis, st), mkfs(class, ty, fieldvar) ', jvmref, str] ]

Additional information

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