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Proof step 8 from proof wand-shift (previous step)

((P1 -* P2))(H0), P0(H1), H1 ⊥ H0 ⊦ ∀ H2. H2 ⊥ H1 ∪ H0 ∧ P1(H2) → ((P0 * P2))(H2 ∪ H1 ∪ H0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
((P1 -* P2))(H0), P0(H1), P1(H), H1 ⊥ H0, H ⊥ H1, H ⊥ H0 ⊦ ((P0 * P2))(H ∪ H1 ∪ H0)

Rule argument

Additional information

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