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Proof step 25 from proof compact-local (previous step)

P0(H1), P1(H0), H1 ⊥ H0, ∀ r. r ∈ H1 ∨ r ∈ H0 → O(r) = me ⊦ !(me, O, P1)(H0), ((!(me, O, P0) * !(me, O, P1)))(H1 ∪ H0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 26:
⊦ !(id, O, P)(H) ↔ P(H) ∧ (∀ r. r ∈ H → O(r) = id)
Proof step 27:
P0(H1), P1(H0), H1 ⊥ H0, ∀ r. r ∈ H1 ∨ r ∈ H0 → O(r) = me ⊦ ((!(me, O, P0) * !(me, O, P1)))(H1 ∪ H0), P1(H0) ∧ (∀ r. r ∈ H0 → O(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] → [H0, P1, O, me] flags: <all paths>

Additional information

Used terms: H0, P1, O, me