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Proof step 41 from proof write-known (previous step)

rs1 ∩ rs0 = ∅, ((r => o0))(mk(rs1, f)), R[rs0, f, g], ∀ r. r ∈ rs1 → g(r) = a ⊦ f(r) = o0, a[r => o1][rs1, f(r; o1), g]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information