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Proof step 25 from proof validstatfield-put-norefval (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 15:
⊦ rk ≠ rk0 → (st[rk0, val][rk]) = st[rk]
Proof step 24:
jvmref -- mkfs(class, ty, fieldvar) ' ≠ r -- mkfs(class0, ty0, fieldvar0) ', okval(val, ty0), mkfs(class, ty, fieldvar) ' ∈ statfields(class), tdname∃(str, class), initdone(class, st), jvmref -- mkfs(class, ty, fieldvar) ' ∈ st, okval(st[jvmref -- mkfs(class, ty, fieldvar) '], ty), type∃(str, ty), jvmref ∈ st, jvmref ≠ r ∨ class ≠ class0 ∨ ty ≠ ty0 ∨ fieldvar ≠ fieldvar0, is_reftype(ty) → validrefval(str, st[jvmref -- mkfs(class, ty, fieldvar) '], ty, st) ⊦ mkfs(class0, ty0, fieldvar0) ' = _length, ty0 = void_type, r -- mkfs(class0, ty0, fieldvar0) ' = _uninit, ty = void_type, is_referencevalue(val), (is_reftype(ty) → validrefval(str, st[jvmref -- mkfs(class, ty, fieldvar) '], ty, st[r -- mkfs(class0, ty0, fieldvar0) ', val])) ∧ okval(st[jvmref -- mkfs(class, ty, fieldvar) '], ty)

Rule argument

[speclemmaarg: ,rk ≠ rk0 → (st[rk0, val][rk]) = st[rk] ,[rk, val, rk0, st] → [jvmref -- mkfs(class, ty, fieldvar) ', val, r -- mkfs(class0, ty0, fieldvar0) ', st] ,F ,store ,javastore-ostorea ,At-other ]

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)], [CSIMPSEQ : ⊦ mkfs(class1, ty, fieldvar) = mkfs(class2, ty0, fieldvar0) ↔ ¬ ¬ ( class1 = class2 ∧ ty = ty0 ∧ fieldvar = fieldvar0)])], [EXTRATERMS : (jvmref -- mkfs(class, ty, fieldvar) ', val, r -- mkfs(class0, ty0, fieldvar0) ', st)]]