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Proof step 4 from proof lf-valid-recs-sqns-vidhdr (previous step)

recs[v × m] = recovery-entry(n0, n1), apebs[n0] = mkpeb(aehdr, avhdr, buf, m0, boolvar), valid-recs-sqns(apebs, recs), v × m ∈ recs ⊦ avhdr.sqn = n1

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ valid-recs-sqns(apebs, recs) ↔ (∀ ladr. ladr ∈ recs → recs[ladr].pnum < # apebs ∧ apebs[recs[ladr].pnum].vidhdr.sqn = recs[ladr].sqn)
Proof step 6:
apebs[n0] = mkpeb(aehdr, avhdr, buf, m0, boolvar), recs[v × m] = recovery-entry(n0, n1), v × m ∈ recs, ∀ ladr. ladr ∈ recs → recs[ladr].pnum < # apebs ∧ apebs[recs[ladr].pnum].vidhdr.sqn = recs[ladr].sqn ⊦ avhdr.sqn = n1

Rule argument

spec: ubi-crash-recovery-base name: valid-recs-sqns seq: ⊦ valid-recs-sqns(apebs, recs) ↔ (∀ ladr. ladr ∈ recs → recs[ladr].pnum < # apebs ∧ apebs[recs[ladr].pnum].vidhdr.sqn = recs[ladr].sqn) subst: [recs, apebs] → [recs, apebs] flags: <all paths>

Additional information

Used terms: recs, apebs