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Proof step 26 from proof prepost-init-vols-mappings (previous step)

# wlar = # apebs, recs0[avhdr0.vol × avhdr0.leb] = recovery-entry(m2, m3), apebs[n] = mkpeb(aehdr, avhdr, buf, m, boolvar), apebs[n0] = mkpeb(aehdr0, avhdr0, buf0, m1, false), wlar[n0] = wl-entry(m4, used), avhdr0.valid?, n0 < # apebs, bflipset-cons(bflipset, wlar), unique-sqns(apebs), unmapped-vols(vols), valid-eraseq(wlar, q), valid-eraseq-stronger(apebs, q), valid-vtbl(apebs, vols, wlar, n), valid-wl(apebs, wlar), ∀ ladr, m. ladr ∈ recs0 ∧ recs0[ladr].pnum = m ↔ wlar[m].status = used ∧ m < # apebs ∧ apebs[m].vidhdr.vol = ladr.vol ∧ apebs[m].vidhdr.leb = ladr.leb ⊦ n0 = n, VTBL_VOLID ∈ vols, n ∈ q, avhdr0.vol × avhdr0.leb ≠ VTBL_VOLID × VTBL_LNUM ∧ avhdr0.vol × avhdr0.leb ∈ recs0 ∧ m2 = n0

User applied rule all left

And obtained the following new goals

Proof step 27:
# wlar = # apebs, avhdr0.vol × avhdr0.leb ∈ recs0 ∧ recs0[avhdr0.vol × avhdr0.leb].pnum = n0 ↔ wlar[n0].status = used ∧ n0 < # apebs ∧ apebs[n0].vidhdr.vol = (avhdr0.vol × avhdr0.leb).vol ∧ apebs[n0].vidhdr.leb = (avhdr0.vol × avhdr0.leb).leb, wlar[n0] = wl-entry(m4, used), apebs[n0] = mkpeb(aehdr0, avhdr0, buf0, m1, false), apebs[n] = mkpeb(aehdr, avhdr, buf, m, boolvar), recs0[avhdr0.vol × avhdr0.leb] = recovery-entry(m2, m3), avhdr0.valid?, n0 < # apebs, bflipset-cons(bflipset, wlar), unique-sqns(apebs), unmapped-vols(vols), valid-eraseq(wlar, q), valid-eraseq-stronger(apebs, q), valid-vtbl(apebs, vols, wlar, n), valid-wl(apebs, wlar) ⊦ n0 = n, n ∈ q, VTBL_VOLID ∈ vols, avhdr0.vol × avhdr0.leb ≠ VTBL_VOLID × VTBL_LNUM ∧ avhdr0.vol × avhdr0.leb ∈ recs0 ∧ m2 = n0

Rule argument

pos: left 15 terms: avhdr0.vol × avhdr0.leb, n0 abort: F discard: T computed: T

Additional information

Used terms: avhdr0.vol × avhdr0.leb, n0