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Proof step 72 from proof validstatfield-putrkvs (previous step)

validvals(str, rkvs, st), mkfs(class, ty, fieldvar) ' ∈ statfields(class), tdname∃(str, class), initdone(class, st), validfield(str, jvmref, mkfs(class, ty, fieldvar) ', st) ⊦ ty = void_type, _uninit ∈ rkvs, jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ rkvs, (is_reftype(ty) → validrefval(str, st[rkvs][jvmref -- mkfs(class, ty, fieldvar) '], ty, st[rkvs])) ∧ type∃(str, ty) ∧ goodfieldandtype(jvmref, mkfs(class, ty, fieldvar) ', st[rkvs])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ 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 71:
validvals(str, rkvs, st), mkfs(class, ty, fieldvar) ' ∈ statfields(class), tdname∃(str, class), initdone(class, st), goodfieldandtype(jvmref, mkfs(class, ty, fieldvar) ', 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, st[jvmref -- mkfs(class, ty, fieldvar) '], mkfs(class, ty, fieldvar) ' .fs .type, st)) ⊦ ty = void_type, _uninit ∈ rkvs, jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ rkvs, (is_reftype(ty) → validrefval(str, st[rkvs][jvmref -- mkfs(class, ty, fieldvar) '], ty, st[rkvs])) ∧ type∃(str, ty) ∧ goodfieldandtype(jvmref, mkfs(class, ty, fieldvar) ', st[rkvs])

Rule argument

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

Additional information

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