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Proof step 26 from proof ac-in-10 (previous step)

∀ sk, class, r, st. ¬ sk ∈ fis0 ∧ sk ≠ mkfs(class, void_type, `initstate' .field) ' → (r -- sk ∈ addclass(class, fis0, st) ↔ r -- sk ∈ st) ⊦ ¬ sk ∈ fv + fis0 ∧ sk ≠ mkfs(class, void_type, `initstate' .field) ' → (r -- sk ∈ addclass(class, fv + fis0, st) ↔ r -- sk ∈ st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ rk ∈ st → rk ∈ addclass(class, fis, st)
Proof step 25:
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

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st], [CSIMPSEQ : ⊦ (fis + fis0) + fis1 = fis + fis0 + fis1], [CSIMPSEQ : ⊦ sk ∈ fis + fis0 ↔ sk ∈ fis ∨ sk ∈ fis0], [CSIMPSEQ : ⊦ fv + fis = fv ' + fis])]]