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Proof step 5 from proof validstatfield-put-statfield (previous step)

¬ (jvmref -- sk ≠ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∧ jvmref -- sk ≠ _uninit), sk .fs = mkfs(class0, ty0, fieldvar0), mkfs(class, ty, fieldvar) ' ∈ statfields(class), tdname∃(str, class), is_indexkey(sk) ∨ ty0 ≠ void_type ∨ (class0 ≠ `java.lang.Object' .class ∨ fieldvar0 ≠ `uninit' .field) ∧ (class0 ≠ class ∨ fieldvar0 ≠ `initstate' .field) ⊦ sk = mkfs(class, ty, fieldvar) ', initdone(class, st[jvmref -- sk, val]) → validfield(str, jvmref, mkfs(class, ty, fieldvar) ', st[jvmref -- sk, val]) ↔ initdone(class, st) → validfield(str, jvmref, mkfs(class, ty, fieldvar) ', st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
sk .fs = mkfs(class0, ty0, fieldvar0), mkfs(class, ty, fieldvar) ' ∈ statfields(class), tdname∃(str, class), is_indexkey(sk) ∨ ty0 ≠ void_type ∨ (class0 ≠ `java.lang.Object' .class ∨ fieldvar0 ≠ `uninit' .field) ∧ (class0 ≠ class ∨ fieldvar0 ≠ `initstate' .field) ⊦ sk = mkfs(class, ty, fieldvar) ', initdone(class, st[jvmref -- sk, val]) → validfield(str, jvmref, mkfs(class, ty, fieldvar) ', st[jvmref -- sk, val]) ↔ initdone(class, st) → validfield(str, jvmref, mkfs(class, ty, fieldvar) ', st), sk ≠ mkfs(class, void_type, `initstate' .field) ' ∧ sk ≠ mkfs(`java.lang.Object' .class, void_type, `uninit' .field) '

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ jvmref -- sk = _uninit ↔ sk = mkfs (`java.lang.Object' .class, void_type, `uninit' .field) '], [CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ r = r0 ∧ sk = sk0])]]