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Proof step 1 from proof range-inter-empty-in (conclusion)

⊦ key ∈ ri ∧ as ∩ range ri = ∅ → ¬ ri[key] ∈ as

System applied rule normalize

And obtained the following new goals

Proof step 2:
as ∩ range ri = ∅, ri[key] ∈ as, key ∈ ri ⊦

Rule argument

Additional information