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Proof step 42 from proof validstatfields-put-statfield-06 (previous step)

¬ ( ¬ sk ∈ statfields(class) ∧ ( ¬ is_fskey(sk) ∨ sk .fs .type ≠ void_type ∨ sk .fs .field ≠ `initstate' .field ∧ sk .fs ≠ mkfs(`java.lang.Object' .class, void_type, `uninit' .field))), sk .fs = mkfs(class0, ty, fieldvar), is_indexkey(sk) ∨ ty ≠ void_type ∨ (class0 ≠ `java.lang.Object' .class ∨ fieldvar ≠ `uninit' .field) ∧ (class0 ≠ class ∨ fieldvar ≠ `initstate' .field) ⊦ validstatfields(str, statfields(class), st[jvmref -- sk, val]) ↔ validstatfields(str, statfields(class), st), sk ∈ statfields(class)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 41:
sk .fs = mkfs(class0, void_type, `initstate' .field), is_fskey(sk) ⊦ class0 = class, validstatfields(str, statfields(class), st[jvmref -- sk, val]) ↔ validstatfields(str, statfields(class), st), sk ∈ statfields(class)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ stringvar .field = stringvar0 .field ↔ stringvar = stringvar0], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) = mkfs(class0, ty0, fieldvar0) ↔ class = class0 ∧ ty = ty0 ∧ fieldvar = fieldvar0], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .field = fieldvar], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty], [CSIMPSEQ : ⊦ ¬ is_indexkey(sk) ↔ is_fskey(sk)], [CSIMPSEQ : ⊦ is_indexkey(sk) → ¬ is_fskey(sk)])]]