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Proof step 39 from proof embed-split (previous step)

⊦ ((R0 * R1))(Ha) ↔ (∃ Ha0, Ha1. Ha0 ⊥ Ha1 ∧ Ha = Ha0 ∪ Ha1 ∧ R0(Ha0) ∧ R1(Ha1))

A spec-lemma