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Proof step 23 from proof prepost-init-vols-mappings (previous step)

# wlar = # apebs, avhdr0.leb = m0, avhdr0.vol = v, wlar[n0] = wl-entry(m4, stat), apebs[n0] = mkpeb(aehdr0, avhdr0, buf0, m1, boolvar0), apebs[n] = mkpeb(aehdr, avhdr, buf, m, boolvar), recs0[v × m0] = recovery-entry(m2, m3), stat = 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-recs(apebs, wlar, recs0), valid-vtbl(apebs, vols, wlar, n), valid-wl(apebs, wlar) ⊦ n0 = n, n ∈ q, VTBL_VOLID ∈ vols, v × m0 ≠ VTBL_VOLID × VTBL_LNUM ∧ v × m0 ∈ recs0 ∧ m2 = n0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 24:
# wlar = # apebs, 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-recs(apebs, wlar, recs0), 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

Additional information

Used simplifier rules: lf-valid-wl-not-erroneous: n < # wlar, stat ≠ erroneous ⊦ apebs[n] = mkpeb(aehdr, avhdr, buf, m, boolvar) ∧ wlar[n] = wl-entry(m0, stat) ∧ valid-wl(apebs, wlar) → ¬ boolvar;% ⊦ m < n → n ≠ 0; (s)%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ used ≠ erroneous; (s)