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Proof step 14 from proof embed-split (previous step)

(P0 * P1)[rs, f] ↔ ((P0 * P1))(mk(rs, f)), ((P0 * P1))(mk(rs, f)), ∀ r. r ∈ rs → g(r) = a ⊦ ((a[P0] * a[P1]))(mk(rs, f, g))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information