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Proof step 4 from proof validstatfield-put-statfield (previous step)

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) '

User applied rule case distinction

And closed the goal!

Rule argument

[CASEDARG : pos: right 3, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ fs ' .fs = fs], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) = mkfs(class0, ty0, fieldvar0) ↔ class = class0 ∧ ty = ty0 ∧ fieldvar = fieldvar0], [CSIMPSEQ : ⊦ fs ' = fs0 ' ↔ fs = fs0], [CSIMPSEQ : ⊦ mkfs(class1, ty, fieldvar) = mkfs(class2, ty0, fieldvar0) ↔ ¬ ¬ ( class1 = class2 ∧ ty = ty0 ∧ fieldvar = fieldvar0)], [CSIMPSEQ : ⊦ ¬ is_indexkey(fs ')])]]