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Proof step 285 from proof inv-recover (previous step)

# apebs0 = # wlar, # wlar1 = # wlar, avhdr0.sqn = valid-sqns(VTBL_VOLID, VTBL_LNUM, apebs0).max, recs0[VTBL_VOLID × VTBL_LNUM] = recovery-entry(m, avhdr.sqn), apebs0[m] = mkpeb(aehdr, avhdr, buf0, m0, boolvar), apebs0[vtblpnum1] = mkpeb(aechdr(m2), avhdr0, buf, m1, false), wlar1[vtblpnum1] = wl-entry(m2, used), wlar[vtblpnum1] = wl-entry(m3, erasing), nx < # wlar, vtblpnum1 < # wlar, bflipset-cons(bflipset1, wlar1), bflipset-cons(bflipset, wlar), indices-erasing(wlar, nx), is-encoded(to-vtbl(vols1), buf), ubi-io-inv(apebs0), ubi-io-peb-inv(mkpeb(aechdr(m2), avhdr0, buf, m1, false)), unique-sqns(apebs0), valid-ebatbl(apebs0, wlar1, vols1, vtblpnum1), valid-eraseq(q1), valid-eraseq(apebs0, q1), valid-eraseq-stronger(apebs0, q), valid-global-sqn(apebs0, vtblpnum5), valid-global-sqn(apebs0, sqnum), valid-peb(VTBL_VOLID, VTBL_LNUM, mkpeb(aechdr(m2), avhdr0, buf, m1, false)), valid-recs-sqns(apebs0, recs0), VTBL_VOLID × VTBL_LNUM ∈ recs0, vtblpnum1 ∈ q ⊦ avhdr0 = empty, dups(nx), m ∈ q, vtblpnum1 ∈ q1, VTBL_VOLID ∈ vols1

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: ubi-crash-recovery-base name: valid-eraseq-stronger-no-maxsqnum seq: ⊦ n < # apebs ∧ valid-peb(v, m, apebs[n]) ∧ apebs[n].vidhdr.sqn = valid-sqns(v, m, apebs).max ∧ valid-eraseq-stronger(apebs, q) → ¬ n ∈ q subst: [apebs, v, m, q, n] → [apebs0, VTBL_VOLID, VTBL_LNUM, q, vtblpnum1] flags: <all paths>

Additional information

Used simplifier rules: ⊦ valid-peb(v0, m0, apeb) → (valid-peb(v1, m1, apeb) ↔ v0 = v1 ∧ m0 = m1); (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).vidhdr = avhdr; (s) Used terms: apebs0, VTBL_VOLID, VTBL_LNUM, q, vtblpnum1