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Proof step 17 from proof lookup-range-rem-union (previous step)

key ∈ ri ⊦ ∃ key0. key0 ∈ ri \ ks ∧ (ri \ ks)[key0] = ri[key], key ∈ ks ∧ key ∈ ri ∧ ri[key] = ri[key]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information