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Proof step 7 from proof ran-in-heap-eq (conclusion)

⊦ r ∈ map ∧ ran map = dom H → (¬ map[r] ∈ H ↔ false)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
ran map = dom H, r ∈ map ⊦ map[r] ∈ H

Rule argument

Additional information

[Concretesimprules(())]