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Proof step 18 from proof switch-ownership (previous step)

!(me, O2, P)(H), rely(me, O1, H1, O2, H2) ⊦ P(H) ∧ (∀ r. r ∈ H → O1(r) = me)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 19:
!(me, O2, P)(H), P(H), rely(me, O1, H1, O2, H2), r ∈ H ⊦ O1(r) = me

Rule argument

Additional information

Used simplifier rules: owned-P: ⊦ !(me, O, P)(H) ∧ ¬ P(H) → false;