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Proof step 8 from proof compact-local (previous step)

!(me, O, P1)(H0), !(me, O, P0)(H1), H1 ⊥ H0 ⊦ ((P0 * P1))(H1 ∪ H0) ∧ (∀ r. r ∈ H1 ∪ H0 → O(r) = me)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
!(me, O, P0)(H1), !(me, O, P1)(H0), H1 ⊥ H0 ⊦ ((P0 * P1))(H1 ∪ H0)

Rule argument

Additional information

Used simplifier rules: owned-r: ⊦ !(me, O, P)(H) ∧ O(r) ≠ me → ¬ r ∈ H;% ⊦ H0 ⊥ H1 → (r ∈ H0 ∪ H1 ↔ r ∈ H0 ∨ r ∈ H1); (s)