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Proof step 6 from proof addobj-in-02 (previous step)

sk0 .fs = mkfs(class0, ty, fieldvar), ∀ r, r0, sk, class, st. r ≠ r0 ∨ ¬ sk ∈ sks0 ∧ sk ≠ _type → (r -- sk ∈ addobj(r0, class, sks0, st) ↔ r -- sk ∈ st), r ≠ r0 ∨ sk ≠ sk0 ∧ ¬ sk ∈ sks0 ∧ sk ≠ _type ⊦ r -- sk = r0 -- sk0 ∨ r -- sk ∈ addobj(r0, class, sks0, st) ↔ r -- sk ∈ st

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
sk0 .fs = mkfs(class0, ty, fieldvar), ∀ r, r0, sk, class, st. r ≠ r0 ∨ ¬ sk ∈ sks0 ∧ sk ≠ _type → (r -- sk ∈ addobj(r0, class, sks0, st) ↔ r -- sk ∈ st), r ≠ r0 ∨ sk ≠ sk0 ∧ ¬ sk ∈ sks0 ∧ sk ≠ _type ⊦ r = r0 ∧ sk = sk0 ∨ r -- sk ∈ addobj(r0, class, sks0, st) ↔ r -- sk ∈ st

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ r = r0 ∧ sk = sk0])]]