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Proof step 18 from proof range-write-in (previous step)

ri[key0] = ri[key], key0 ∈ ri, key ∈ ri, ∀ key0, key1. key0 ∈ ri ∧ key1 ∈ ri ∧ ri[key0] = ri[key1] → key0 = key1 ⊦ ri[key0] = adr, key0 = key

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information