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Proof step 29 from proof validstatfield-put-norefval (previous step)

okval(val, ty0), mkfs(class, ty, fieldvar) ' ∈ statfields(class), tdname∃(str, class), initdone(class, st), validfield(str, jvmref, mkfs(class, ty, fieldvar) ', st), jvmref ≠ r ∨ class ≠ class0 ∨ ty ≠ ty0 ∨ fieldvar ≠ fieldvar0 ⊦ mkfs(class0, ty0, fieldvar0) ' = _length, ty0 = void_type, ty = void_type, r -- mkfs(class0, ty0, fieldvar0) ' = _uninit, is_referencevalue(val), ( is_reftype(ty) → validrefval (str, st[r -- mkfs(class0, ty0, fieldvar0) ', val][jvmref -- mkfs(class, ty, fieldvar) '], ty, st[r -- mkfs(class0, ty0, fieldvar0) ', val])) ∧ type∃(str, ty) ∧ goodfieldandtype(jvmref, mkfs(class, ty, fieldvar) ', st[r -- mkfs(class0, ty0, fieldvar0) ', val])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 13:
⊦ 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 28:
okval(val, ty0), 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)), jvmref ≠ r ∨ class ≠ class0 ∨ ty ≠ ty0 ∨ fieldvar ≠ fieldvar0 ⊦ mkfs(class0, ty0, fieldvar0) ' = _length, ty0 = void_type, ty = void_type, r -- mkfs(class0, ty0, fieldvar0) ' = _uninit, is_referencevalue(val), ( is_reftype(ty) → validrefval (str, st[r -- mkfs(class0, ty0, fieldvar0) ', val][jvmref -- mkfs(class, ty, fieldvar) '], ty, st[r -- mkfs(class0, ty0, fieldvar0) ', val])) ∧ type∃(str, ty) ∧ goodfieldandtype(jvmref, mkfs(class, ty, fieldvar) ', st[r -- mkfs(class0, ty0, fieldvar0) ', val])

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)]]