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Proof step 4 from proof insert-inter-notin-dom-nodes (previous step)

⊦ adr ∈ st, ∀ adr0. adr0 ∈ (as ++ adr) ∩ dom nodes(st) ↔ adr0 ∈ as ∩ dom nodes(st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information