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Proof step 21 from proof ac-in-10 (previous step)

¬ is_indexkey(fv .1), r -- sk ∈ addclass(class, fv ' + fis0, st), r ∈ addclass(class, fv ' + fis0, st), ∀ sk0, class0, r0, st0. ¬ sk0 ∈ fis0 ∧ sk0 ≠ mkfs(class0, void_type, `initstate' .field) ' → (r0 -- sk0 ∈ addclass(class0, fis0, st0) → r0 -- sk0 ∈ st0) ⊦ sk = mkfs(class, void_type, `initstate' .field) ', r -- sk ∈ st, sk ∈ fv ', sk ∈ fis0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 20:
r -- sk ∈ addclass(class, fv ' + fis0, st), r ∈ addclass(class, fv ' + fis0, st), is_fskey(fv .1), ∀ sk0, class0, r0, st0. ¬ sk0 ∈ fis0 ∧ sk0 ≠ mkfs(class0, void_type, `initstate' .field) ' → (r0 -- sk0 ∈ addclass(class0, fis0, st0) → r0 -- sk0 ∈ st0) ⊦ sk = mkfs(class, void_type, `initstate' .field) ', r -- sk ∈ st, sk ∈ fv ', sk ∈ fis0

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_indexkey(sk) ↔ is_fskey(sk)])]]