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Proof step 82 from proof recovery (previous step)

# wlar = # wlar0, # apebs0 = # wlar0, vols0[v][m] = ⌜n⌝ , apebs0[n] = mkpeb(aehdr, avhdr, buf, m0, boolvar), n < # wlar0, m < # absf(v, avols0[v], apebs0, vols0[v], q0, # vols0[v]), m < # vols0[v], abs(avols0, apebs0, vols, q), bflipset-cons(bflipset0, wlar0), bflipset-cons(bflipset, wlar), ebm-cons(avols0), is-max(apebs0, vols0, wlar0, q0, bflipset0, vtblpnum3, sqnum), ubi-io-inv(apebs0), unique-sqns(apebs0), valid-ebatbl(apebs0, wlar0, vols0, vtblpnum3), valid-ebatbl(apebs0, wlar, vols, vtblpnum), valid-eraseq(apebs0, q0), valid-eraseq(wlar0, q0), valid-eraseq(q0), valid-eraseq(apebs0, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs0, sqnum), valid-global-sqn(apebs0, vtblpnum0), valid-vtbl(apebs0, vols0, wlar0, vtblpnum3), valid-vtbl(apebs0, vols, wlar, vtblpnum), valid-wl(apebs0, wlar0), valid-wl(apebs0, wlar), v ∈ vols0, vols ⊆ vols0, q0.lebrefs ⊆ q.lebrefs, vols0⌈vols, q⌉ ⊦ VTBL_VOLID ∈ vols, VTBL_VOLID ∈ vols0, # buf = LEB_SIZE ∧ (avols0[v][m].mapped? ⊃ avols0[v][m].fill;m0) ≤ LEB_SIZE ∧ is-aligned((avols0[v][m].mapped? ⊃ avols0[v][m].fill;m0), EB_PAGE_SIZE) ∧ range=(buf, (avols0[v][m].mapped? ⊃ avols0[v][m].fill;m0), emptyleb, 0, LEB_SIZE - (avols0[v][m].mapped? ⊃ avols0[v][m].fill;m0))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 83:
# wlar = # wlar0, # apebs0 = # wlar0, vols0[v][m] = ⌜n⌝ , apebs0[n] = mkpeb(aehdr, avhdr, buf, m0, false), avhdr.valid?, n < # wlar0, m < # absf(v, avols0[v], apebs0, vols0[v], q0, # vols0[v]), m < # vols0[v], abs(avols0, apebs0, vols, q), bflipset-cons(bflipset0, wlar0), bflipset-cons(bflipset, wlar), ebm-cons(avols0), is-max(apebs0, vols0, wlar0, q0, bflipset0, vtblpnum3, sqnum), ubi-io-inv(apebs0), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf, m0, false)), unique-sqns(apebs0), valid-ebatbl(apebs0, wlar0, vols0, vtblpnum3), valid-ebatbl(apebs0, wlar, vols, vtblpnum), valid-eraseq(apebs0, q0), valid-eraseq(wlar0, q0), valid-eraseq(q0), valid-eraseq(apebs0, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs0, sqnum), valid-global-sqn(apebs0, vtblpnum0), valid-vtbl(apebs0, vols0, wlar0, vtblpnum3), valid-vtbl(apebs0, vols, wlar, vtblpnum), valid-wl(apebs0, wlar0), valid-wl(apebs0, wlar), v ∈ vols0, vols ⊆ vols0, q0.lebrefs ⊆ q.lebrefs, vols0⌈vols, q⌉ ⊦ VTBL_VOLID ∈ vols, VTBL_VOLID ∈ vols0, (avols0[v][m].mapped? ⊃ avols0[v][m].fill;m0) ≤ LEB_SIZE ∧ is-aligned((avols0[v][m].mapped? ⊃ avols0[v][m].fill;m0), EB_PAGE_SIZE) ∧ range=(buf, (avols0[v][m].mapped? ⊃ avols0[v][m].fill;m0), emptyleb, 0, LEB_SIZE - (avols0[v][m].mapped? ⊃ avols0[v][m].fill;m0))

Rule argument

Additional information

Used simplifier rules: lf-mapped-valid-vidhdr: ⊦ v ∈ vols ∧ m < # vols[v] ∧ vols[v][m] = ⌜n⌝ ∧ valid-ebatbl(apebs, wlar, vols, n0) ∧ apebs[n] = mkpeb(aehdr, avhdr, buf, m0, boolvar) → avhdr.valid?;%lf-mapped-not-bad: ⊦ v ∈ vols ∧ m < # vols[v] ∧ vols[v][m] = ⌜n⌝ ∧ valid-ebatbl(apebs, wlar, vols, n0) ∧ valid-wl(apebs, wlar) ∧ apebs[n] = mkpeb(aehdr, avhdr, buf, m0, boolvar) → ¬ boolvar;%ubi-io-inv-fwd: n < # apebs ⊦ apebs[n] = apeb ∧ ubi-io-inv(apebs) → ubi-io-peb-inv(apeb); (forward) from specification ubi-asm%n < # apebs ⊦ apebs[n] = mkpeb(aehdr, avhdr, buf, m, boolvar) ∧ ubi-io-inv(apebs) → # buf = LEB_SIZE; (s)% ⊦ m < n → (n ≤ m ↔ false); (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)