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Proof step 26 from proof validstatfields-put-statfield-06 (previous step)

mkfs(class0, void_type, `initstate' .field) ' ≠ sk ∧ ( ¬ is_fskey(mkfs(class0, void_type, `initstate' .field) ') ∨ mkfs(class0, void_type, `initstate' .field) ' .fs .type ≠ void_type ∨ mkfs(class0, void_type, `initstate' .field) ' .fs ≠ mkfs(`java.lang.Object' .class, void_type, `uninit' .field) ∧ (¬ is_fskey(sk) ∨ mkfs(class0, void_type, `initstate' .field) ' .fs ≠ mkfs(sk .fs .class, void_type, `initstate' .field))), initdone(class, st), sk ∈ statfields(class), ∀ sk. sk ∈ statfields(class) → validstatfield(str, sk, st) ⊦ class0 = class, validstatfield(str, sk, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 25:
initdone(class, st), sk ∈ statfields(class), is_fskey(sk), ∀ sk. sk ∈ statfields(class) → validstatfield(str, sk, st) ⊦ class0 = class, mkfs(class0, void_type, `initstate' .field) ' = sk, class0 = sk .fs .class, validstatfield(str, sk, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_indexkey(sk) ↔ is_fskey(sk)], [CSIMPSEQ : ⊦ is_indexkey(sk) → ¬ sk ∈ statfields(class)], [CSIMPSEQ : ⊦ ¬ is_fskey(sk) ↔ is_indexkey(sk)], [CSIMPSEQ : ⊦ stringvar .field = stringvar0 .field ↔ stringvar = stringvar0], [CSIMPSEQ : ⊦ mkfs(class1, ty, fieldvar) = mkfs(class2, ty0, fieldvar0) ↔ ¬ ¬ ( class1 = class2 ∧ ty = ty0 ∧ fieldvar = fieldvar0)], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty], [CSIMPSEQ : ⊦ fs ' .fs = fs], [CSIMPSEQ : ⊦ is_fskey(fs ')])]]