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Proof step 85 from proof inv-recover (previous step)

# wlar1 = # wlar, # apebs0 = # wlar, apebs0[m] = mkpeb(aehdr, avhdr, buf1, m0, false), recs0[VTBL_VOLID × VTBL_LNUM] = recovery-entry(m, avhdr.sqn), recs0[VTBL_VOLID × VTBL_LNUM] = recovery-entry(m, m1), vols = ∅, vtbl = to-vtbl(vols1), m < # wlar, nx < # wlar, bflipset-cons(bflipset, wlar), bflipset-cons(bflipset1, wlar1), bflipset-cons(bflipset0, wlar), indices-erasing(wlar, nx), ubi-io-inv(apebs0), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf1, m0, false)), unique-sqns(apebs0), valid-ebatbl(apebs0, wlar1, vols1, m), valid-eraseq(wlar, q), valid-eraseq(apebs0, q1), valid-eraseq(wlar1, q1), valid-eraseq(q1), valid-eraseq-stronger(apebs0, q), valid-global-sqn(apebs0, sqnum), valid-global-sqn(apebs0, vtblpnum5), valid-recs(apebs0, wlar, recs0), valid-recs-sqns(apebs0, recs0), valid-vtbl(apebs0, vols1, wlar1, m), valid-vtbl-weak(apebs0, m), valid-wl(apebs0, wlar), valid-wl(apebs0, wlar1), VTBL_VOLID × VTBL_LNUM ∈ recs0 ⊦ [ubi_init_vols_sizes#(recs0, wlar, apebs0; vtbl, vols)] ( valid-vtbl(apebs0, vols, wlar, m) ∧ unmapped-vols(vols) ∧ ¬ VTBL_VOLID ∈ vols → ⟪recs := recs0; ubi_init_vols_mappings#(m, apebs0; recs0, vols, wlar, q, bflipset0); let n = 0 in ubi_fix_ecs#(n; nx, wlar)⟫ ( # wlar1 = # wlar ∧ valid-wl(apebs0, wlar) ∧ valid-eraseq(q) ∧ valid-eraseq(wlar, q) ∧ valid-eraseq(apebs0, q) ∧ ¬ VTBL_VOLID ∈ vols ∧ bflipset-cons(bflipset0, wlar) ∧ valid-ebatbl(apebs0, wlar, vols, recs[VTBL_VOLID × VTBL_LNUM].pnum) ∧ valid-vtbl(apebs0, vols, wlar, recs[VTBL_VOLID × VTBL_LNUM].pnum) ∧ is-max(apebs0, vols, wlar, q, bflipset0, recs[VTBL_VOLID × VTBL_LNUM].pnum, sqnum) ∧ q.lebrefs ⊆ q1.lebrefs ∧ vols1 ⊆ vols ∧ vols⌈vols1, q1⌉)), dups(nx), VTBL_VOLID ∈ vols1, m ∈ q1, m ∈ q

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: lf-vtbl-info: ⊦ valid-vtbl(apebs, vols, wlar, n) ∧ valid-eraseq(wlar, q) → ¬ n ∈ q;%lf-valid-recs-notin-eraseq: ⊦ v × m ∈ recs ∧ recs[v × m] = recovery-entry(n0, n1) ∧ valid-recs(apebs, wlar, recs) ∧ valid-eraseq(wlar, q) → ¬ n0 ∈ q;%lf-valid-recs-sqns-vidhdr: ⊦ v × m ∈ recs ∧ recs[v × m] = recovery-entry(n0, n1) ∧ valid-recs-sqns(apebs, recs) → apebs[n0].vidhdr.sqn = n1;% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).vidhdr = avhdr; (s)% ⊦ recovery-entry(m, m0) = recovery-entry(m1, m2) ↔ m = m1 ∧ m0 = m2; (ws)%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic