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Proof step 49 from proof embed-split (previous step)

mk(rs, f, g) = mk(rs0, f0, g0) ∪ mk(rs1, f1, g1), rs0 ∩ rs1 = ∅, a[P1](mk(rs1, f1, g1)), a[P0](mk(rs0, f0, g0)) ⊦ ((P0 * P1))(mk(rs, f)) ∧ (∀ r. r ∈ rs → g(r) = a)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 50:
mk(rs, f, g) = mk(rs0, f0, g0) ∪ mk(rs1, f1, g1), rs0 ∩ rs1 = ∅, a[P0](mk(rs0, f0, g0)), a[P1](mk(rs1, f1, g1)) ⊦ ((P0 * P1))(mk(rs, f)) ∧ (r ∈ rs → g(r) = a)

Proof step 49 from proof embed-split (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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