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Proof step 20 from proof introduce-sharing (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 21:
(({H} -* P1))(H1), P0(H2 ∪ H), P1(H1 ∪ H), H2 ⊥ H, H2 ⊥ H1, H1 ⊥ H ⊦ ((({H} -* P0) * ({H} -* P1) * {H} ))(H2 ∪ H1 ∪ H), P0(H ∪ H2)

Rule argument

Additional information

Used simplifier rules: this: ⊦ {H} (H0) ↔ H = H0;% ⊦ H0 ⊥ H1 → H1 ⊥ H0; (s)