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Proof step 24 from proof instore-addobj-rec (previous step)

∀ r, r1, class, class1, fis1, st. r = r1 ∨ (instore(r, class, fis0, addobj(r1, class1, fis1, st)) ↔ instore(r, class, fis0, st)) ⊦ r = r1, r -- sk ∈ st ∧ st[r -- sk] = val ∧ instore(r, class, fis0, addobj(r1, class1, fis1, st)) ↔ (r -- (sk × val) .1) × (sk × val) .2 ∈ st ∧ instore(r, class, fis0, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 23:
∀ r, r1, class, class1, fis1, st. r = r1 ∨ (instore(r, class, fis0, addobj(r1, class1, fis1, st)) ↔ instore(r, class, fis0, st)) ⊦ r = r1, r -- sk ∈ st ∧ st[r -- sk] = val ∧ instore(r, class, fis0, addobj(r1, class1, fis1, st)) ↔ r -- sk ∈ st ∧ st[r -- sk] = val ∧ instore(r, class, fis0, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ rk × val ∈ st ↔ ¬ ¬ (rk ∈ st ∧ st[rk] = val)], [CSIMPSEQ : ⊦ (sk × val) .2 = val], [CSIMPSEQ : ⊦ (sk × val) .1 = sk])]]