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Proof step 41 from proof validstatfields-put-other-statfield (previous step)

jvmref -- mkfs(class, ty, fieldvar) ' ≠ jvmref -- mkfs(class0, void_type, `initstate' .field) ' ∧ jvmref -- mkfs(class, ty, fieldvar) ' ≠ _uninit, fs ' ∈ statfields(class0), initdone(class0, st), tdname∃(str, class0), ∀ class, sk. tdname∃(str, class) ∧ initdone(class, st) ∧ sk ∈ statfields(class) → validstatfield(str, sk, st) ⊦ class = `java.lang.Object' .class, tdname∃(str, class), validstatfield(str, fs ', st[jvmref -- mkfs(class, ty, fieldvar) ', val])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 40:
fs ' ∈ statfields(class0), initdone(class0, st), tdname∃(str, class0), ∀ class, sk. tdname∃(str, class) ∧ initdone(class, st) ∧ sk ∈ statfields(class) → validstatfield(str, sk, st) ⊦ class = `java.lang.Object' .class, tdname∃(str, class), validstatfield(str, fs ', st[jvmref -- mkfs(class, ty, fieldvar) ', val])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : refkey, , inj-01, ⊦ r -- sk = r0 -- sk0 ↔ ¬ ¬ (r = r0 ∧ sk = sk0)], [CSIMPNAMEDSEQ : fieldspec, , inj-01, ⊦ mkfs(class1, ty, fieldvar) = mkfs (class2, ty0, fieldvar0) ↔ ¬ ¬ ( class1 = class2 ∧ ty = ty0 ∧ fieldvar = fieldvar0)], [CSIMPNAMEDSEQ : storekey, , inj-03, ⊦ fs ' = fs0 ' ↔ fs = fs0], [CSIMPNAMEDSEQ : specialkeys, , uninit-eq, ⊦ jvmref -- sk = _uninit ↔ sk = mkfs (`java.lang.Object' .class, void_type, `uninit' .field) '])]]