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Theorem sharing-ass-aux1

⊦ (hP0 ⊗ hP1 ⊗ hP2)(h) ↔ (∃ h0, h1, h2, h21, h20, h10, h210. h = (h1 ∪ h0 ∪ h10) ∪ h2 ∪ h20 ∪ h21 ∪ h210 ∧ h0 ⊥ h1 ∧ h0 ⊥ h2 ∧ h0 ⊥ h21 ∧ h0 ⊥ h20 ∧ h0 ⊥ h10 ∧ h0 ⊥ h210 ∧ h1 ⊥ h2 ∧ h1 ⊥ h21 ∧ h1 ⊥ h20 ∧ h1 ⊥ h10 ∧ h1 ⊥ h210 ∧ h2 ⊥ h21 ∧ h2 ⊥ h20 ∧ h2 ⊥ h10 ∧ h2 ⊥ h210 ∧ h21 ⊥ h20 ∧ h21 ⊥ h10 ∧ h21 ⊥ h210 ∧ h20 ⊥ h10 ∧ h20 ⊥ h210 ∧ h10 ⊥ h210 ∧ hP0(h0 ∪ h10 ∪ h20 ∪ h210) ∧ hP1(h1 ∪ h10 ∪ h21 ∪ h210) ∧ hP2(h2 ∪ h20 ∪ h21 ∪ h210))

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