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Proof step 3 from proof guar-rely (previous step)

guar(id, O1, H1, O2, H2) ⊦ id = me, rely(me, O1, H1, O2, H2)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ guar(me, O1, H1, O2, H2) ↔ (∀ id. id ≠ me → rely(id, O1, H1, O2, H2))
Proof step 5:
∀ id0. id0 ≠ id → rely(id0, O1, H1, O2, H2) ⊦ id = me, rely(me, O1, H1, O2, H2)

Rule argument

spec: <toplevel> name: guar seq: ⊦ guar(me, O1, H1, O2, H2) ↔ (∀ id. id ≠ me → rely(id, O1, H1, O2, H2)) subst: [H2, O2, H1, O1, me] → [H2, O2, H1, O1, id] flags: <all paths>

Additional information

Used terms: H2, O2, H1, O1, id