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Proof step 50 from proof propagate (previous step)

!(me, O2, P)(H0), P0(H), rely(me, O1, H0 ∪ H, O2, H2), H0 ⊥ H ⊦ id = me, ∀ r. (r ∈ H0 → r ∈ H2) ∧ (r ∈ H0 → H0[r] = H2[r])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information