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Proof step 421 from proof prepost-scan-all (previous step)

# apebs = n0 + vtblpnum, # wlar0 = n0 + vtblpnum, avhdr.size = 0, apebs[vtblpnum] = mkpeb(aechdr(m), avhdr1, buf1, m0, false), avhdr = apebs[vtblpnum].vidhdr, ¬ bitflips, buf = mkbuf(LEB_SIZE), err = err0, err = ESUCCESS, ladr = avhdr.vol × avhdr.leb, n = 0, vtblpnum0 = recs[ladr].pnum, wlar = wlar1[vtblpnum, wl-entry(wlar1[vtblpnum].ec, used)], wlar1 = wlar0[vtblpnum, wlar0[vtblpnum].ec:= m], apebs[vtblpnum].vidhdr.valid?, avhdr.valid?, vtblpnum < # wlar0, nx < vtblpnum, vtblpnum < # apebs, vtblpnum < # wlar1, bflipset-cons(bflipset, subarray(wlar0, 0, vtblpnum)), indices-erasing(wlar0, nx), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aechdr(m), avhdr1, buf1, m0, false)), unique-sqns(apebs), valid-eraseq(subarray(wlar0, 0, vtblpnum), q), valid-eraseq-stronger(subarray(apebs, 0, vtblpnum), q), valid-global-sqn(subarray(apebs, 0, vtblpnum), sqnum), valid-recs(subarray(apebs, 0, vtblpnum), subarray(wlar0, 0, vtblpnum), recs), valid-recs-sqns(apebs, recs), valid-wl(subarray(apebs, 0, vtblpnum), subarray(wlar0, 0, vtblpnum)), ladr ∈ recs, recs[ladr].sqn ≤ avhdr.sqn, avhdr.size ≠ 0 → avhdr.valid? ∧ (avhdr.size ≤ datasize(buf) → avhdr.valid? ∧ avhdr.valid?), avhdr.size ≠ 0 → avhdr.size ≤ datasize(buf) ∧ avhdr.checksum = checksum(buf, avhdr.size), ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ apebs[vtblpnum].vidhdr = empty, n0 = 0, dups(nx), vtblpnum0 < # wlar ∧ vtblpnum0 < # wlar

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 422:
# wlar0 = n0 + vtblpnum, # apebs = n0 + vtblpnum, avhdr1.size = 0, apebs[vtblpnum] = mkpeb(aechdr(m), avhdr1, buf1, m0, false), avhdr1.valid?, vtblpnum < recs[avhdr1.vol × avhdr1.leb].pnum, nx < vtblpnum, bflipset-cons(bflipset, subarray(wlar0, 0, vtblpnum)), indices-erasing(wlar0, nx), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aechdr(m), avhdr1, buf1, m0, false)), unique-sqns(apebs), valid-eraseq(subarray(wlar0, 0, vtblpnum), q), valid-eraseq-stronger(subarray(apebs, 0, vtblpnum), q), valid-global-sqn(subarray(apebs, 0, vtblpnum), sqnum), valid-recs(subarray(apebs, 0, vtblpnum), subarray(wlar0, 0, vtblpnum), recs), valid-recs-sqns(apebs, recs), valid-wl(subarray(apebs, 0, vtblpnum), subarray(wlar0, 0, vtblpnum)), avhdr1.vol × avhdr1.leb ∈ recs, recs[avhdr1.vol × avhdr1.leb].sqn ≤ avhdr1.sqn, n0 + vtblpnum ≤ recs[avhdr1.vol × avhdr1.leb].pnum ⊦ avhdr1 = empty, n0 = 0, dups(nx)

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ m < m + n ↔ n ≠ 0; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).vidhdr = avhdr; (s)%fle: ⊦ m < n ∧ n ≤ n0 → m < n0; (forward) from specification nat%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic%m < # wlar ⊦ wlar[m, wle][m, wle0] = wlar[m, wle0]; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m + m0 ≤ m ↔ m0 = 0; (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ (wle.ec:= m).ec = m; (s)% ⊦ m < # wlar → wlar[m, wle][m] = wle; (s)% ⊦ ¬ ⌊ESUCCESS⌋ ; (s)% ⊦ # wlar[n, wle] = # wlar; (s)