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Proof step 35 from proof write-known-p (previous step)

H1[r, o1] = H0 ∪ H, ((r => o1 * P))(H0), P0(H), rely(me, O1, H1[r, o1], O2, H2), r ∈ H1, H0 ⊥ H, ∀ r. r ∈ H0 → O2(r) = me ⊦ ∃ H0, H2. H0 ⊥ H2 ∧ H1 = H0 ∪ H2 ∧ !(me, O2, r => H1[r] * P)(H0) ∧ P0(H2)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 36:
H1[r, o1] = H0 ∪ H, ((r => o1 * P))(H0), P0(H), rely(me, O1, H1[r, o1], O2, H2), r ∈ H1, H0 ⊥ H, ∀ r. r ∈ H0 → O2(r) = me ⊦ ∃ H3, H4. H3 ⊥ H4 ∧ H1 = H3 ∪ H4 ∧ !(me, O2, r => (H3 ∪ H4)[r] * P)(H3) ∧ P0(H4)

Proof step 35 from proof write-known-p (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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