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Proof step 23 from proof compact-local (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information