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Proof step 22 from proof write-known-p (previous step)

(!(me, O2, r => o0 * P) * P0)(H1), rely(me, O1, H1[r, o1], O2, H2) ⊦ (!(me, O2, r => o1 * P) * P0)(H1[r, o1]) ∧ H1[r] = o0 ∧ r ∈ H1

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ (P0 * P1)(H) ↔ (∃ H0, H1. H0 ⊥ H1 ∧ H = H0 ∪ H1 ∧ P0(H0) ∧ P1(H1))

Rule argument

[x0lemmaarg: spec-name: heap-sep instance-name: lemma-name: sep antecedent: succedent: (P0 * P1)(H) ↔ (∃ H0, H1. H0 ⊥ H1 ∧ H = H0 ∪ H1 ∧ P0(H0) ∧ P1(H1)) substlist: [H, P1, P0] → [H1, P0, !(me, O2, r => o0 * P)] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((0, 0, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (H1, P0, !(me, O2, r => o0 * P))]]