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Proof step 2 from proof range-add-explicit (previous step)

ri[key] = adr, key ∈ ri ⊦ range ri = range ri ++ adr

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: key ∈ ri ⊦ ri[key] ∈ ri; (s)% ⊦ adr ∈ range ri ↔ adr ∈ ri; (s)% ⊦ as ++ adr = as ↔ adr ∈ as; (s)