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Proof step 1 from proof inter-notin-add-empty (conclusion)

⊦ ¬ n ∈ istore → ((ns ++ n) ∩ dom istore = ∅ ↔ ns ∩ dom istore = ∅)

System applied rule normalize

And obtained the following new goals

Proof step 2:
⊦ (ns ++ n) ∩ dom istore = ∅ ↔ ns ∩ dom istore = ∅, n ∈ istore

Rule argument

Additional information