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Proof step 10 from proof rely-trans (previous step)

rely(me, O1, H1, O2, H2), rely(me, O0, H0, O1, H1) ⊦ rely(me, O0, H0, O2, H2)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ rely(me, O1, H1, O2, H2) ↔ (∀ r. (O1(r) = me ↔ O2(r) = me) ∧ (O1(r) = me → (r ∈ H1 ↔ r ∈ H2) ∧ (r ∈ H1 → H1[r] = H2[r])))

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: rely antecedent: succedent: rely(me, O1, H1, O2, H2) ↔ (∀ r. (O1(r) = me ↔ O2(r) = me) ∧ ( O1(r) = me → (r ∈ H1 ↔ r ∈ H2) ∧ (r ∈ H1 → H1[r] = H2[r]))) substlist: [H2, O2, H1, O1, me] → [H2, O2, H0, O0, me] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((1, 0, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (H2, O2, H0, O0, me)]]