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Proof step 8 from proof introduce-sharing (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
P0(H2 ∪ H0), P1(H1 ∪ H0), H1 ⊥ H0, H2 ⊥ H1, H2 ⊥ H0 ⊦ ((({H0} -* P0) * ({H0} -* P1) * {H0} ))(H2 ∪ H1 ∪ H0), (({H0} -* P0))(H2) ∧ ((({H0} -* P1) * {H0} ))(H1 ∪ H0)

Rule argument

Additional information

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