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Proof step 30 from proof wand-flatten (previous step)

((P0 * P1 -* P2))(H), P0(H0), H0 ⊥ H ⊦ ∀ H1. H1 ⊥ H0 ∪ H ∧ P1(H1) → P2(H1 ∪ H0 ∪ H)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 31:
((P0 * P1 -* P2))(H), P0(H0), P1(H1), H0 ⊥ H, H1 ⊥ H0, H1 ⊥ H ⊦ P2(H1 ∪ H0 ∪ H)

Rule argument

Additional information

Used simplifier rules: ⊦ H1 ⊥ H → (H0 ⊥ H1 ∪ H ↔ H0 ⊥ H1 ∧ H0 ⊥ H); (ws)