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Proof step 5 from proof propagate (previous step)

((!(id, O2, P1) * true))(H2), rely(me, O1, H1, O2, H2), ∃ H0, H2. H0 ⊥ H2 ∧ H1 = H0 ∪ H2 ∧ !(me, O2, P)(H0) ∧ P0(H2) ⊦ id = me, ((!(me, O2, P) * !(id, O2, P1) * true))(H2)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
!(me, O2, P)(H0), ((!(id, O2, P1) * true))(H2), P0(H), rely(me, O1, H0 ∪ H, O2, H2), H0 ⊥ H ⊦ id = me, ((!(me, O2, P) * !(id, O2, P1) * true))(H2)

Proof step 5 from proof propagate (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information