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Proof step 31 from proof validstatfield-put-norefval (previous step)

okval(val, ty0), mkfs(class, ty, fieldvar) ' ∈ statfields(class), tdname∃(str, class), initdone(class, st[r -- mkfs(class0, ty0, fieldvar0) ', val]), 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, 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 12:
⊦ rk ≠ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∧ rk ≠ _uninit → (initdone(class, st[rk, val]) ↔ initdone(class, st))
Proof step 30:
r -- mkfs(class0, ty0, fieldvar0) ' ≠ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∧ r -- mkfs(class0, ty0, fieldvar0) ' ≠ _uninit, okval(val, ty0), mkfs(class, ty, fieldvar) ' ∈ statfields(class), tdname∃(str, class), initdone(class, st), 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, 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

[speclemmaarg: , rk ≠ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∧ rk ≠ _uninit → (initdone(class, st[rk, val]) ↔ initdone(class, st)) ,[val, rk, st, class] → [val, r -- mkfs(class0, ty0, fieldvar0) ', st, class] ,F ,storefuns , ,init-put-04 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ r = r0 ∧ sk = sk0], [CSIMPSEQ : ⊦ fs ' = fs0 ' ↔ fs = fs0], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) = mkfs(class0, ty0, fieldvar0) ↔ class = class0 ∧ ty = ty0 ∧ fieldvar = fieldvar0], [CSIMPSEQ : ⊦ r -- fs ' = _uninit ↔ r = jvmref ∧ fs = mkfs (`java.lang.Object' .class, void_type, `uninit' .field)])], [EXTRATERMS : (val, r -- mkfs(class0, ty0, fieldvar0) ', st, class)]]