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Proof step 40 from proof embed-split (previous step)

∃ Ha0, Ha1. Ha0 ⊥ Ha1 ∧ mk(rs, f, g) = Ha0 ∪ Ha1 ∧ a[P0](Ha0) ∧ a[P1](Ha1) ⊦ a[P0 * P1](mk(rs, f, g))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information