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Proof step 19 from proof switch-ownership (previous step)

!(me, O2, P)(H), P(H), rely(me, O1, H1, O2, H2), r ∈ H ⊦ O1(r) = me

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 20:
⊦ !(id, O, P)(H) ↔ P(H) ∧ (∀ r. r ∈ H → O(r) = id)
Proof step 21:
P(H), rely(me, O1, H1, O2, H2), r ∈ H, ∀ r. r ∈ H → O2(r) = me ⊦ O1(r) = me

Rule argument

spec: <toplevel> name: owned seq: ⊦ !(id, O, P)(H) ↔ P(H) ∧ (∀ r. r ∈ H → O(r) = id) subst: [H, P, O, id] → [H, P, O2, me] flags: <all paths>

Additional information

Used terms: H, P, O2, me