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Proof step 59 from proof propagate (conclusion)

⊦ id ≠ me ∧ rely(me, O1, H1, O2, H2) ∧ (!(me, O2, P) * P0)(H1) → ((!(id, O2, P1) * true)(H2) ↔ (!(me, O2, P) * !(id, O2, P1) * true)(H2))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 58:
rely(me, O1, H1, O2, H2), (!(me, O2, P) * P0)(H1), (!(id, O2, P1) * true)(H2) ⊦ id = me, (!(me, O2, P) * !(id, O2, P1) * true)(H2)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (P0 * P)(H) → (true * P)(H)], [CSIMPSEQ : ⊦ P0 * P1 = P1 * P0], [CSIMPSEQ : ⊦ (P0 * P1) * P2 = P0 * P1 * P2])]]