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Proof step 144 from proof prepost-init-vols-mappings (previous step)

# wlar0 = # apebs, # apebs = # wlar, apebs[n] = mkpeb(aehdr, avhdr, buf, m, boolvar), n0 = recs[ladr].pnum, q0 = q1, recs = recs1, recs2 = recs0 -- (VTBL_VOLID × VTBL_LNUM), vtblpnum = n, bflipset-cons(bflipset0, wlar0), bflipset-cons(bflipset, wlar), unique-sqns(apebs), unmapped-vols(vols0), valid-eraseq(wlar0, q1), valid-eraseq(wlar, q), valid-eraseq-stronger(apebs, q1), valid-recs(apebs, wlar0, recs0), valid-vtbl(apebs, vols0, wlar0, n), valid-vtbl(apebs, vols, wlar, vtblpnum), valid-wl(apebs, wlar0), valid-wl(apebs, wlar), ladr ∈ recs, q1 ⊆ q, recs ⊥ vols, ladr.vol ∈ vols → ladr.vol ∈ vols, ∀ v, m, n. v × m ∈ recs ∧ recs[v × m].pnum = n ∨ v ∈ vols ∧ m < # vols[v] ∧ vols[v][m] = ⌜n⌝ ↔ wlar[n].status = used ∧ n < # apebs ∧ apebs[n].vidhdr.valid? ∧ apebs[n].vidhdr.vol = v ∧ apebs[n].vidhdr.leb = m ∧ n ≠ vtblpnum, ∃ vtbl. is-encoded(vtbl, apebs[vtblpnum].data) ∧ valid-eraseq-strong(apebs, vtbl, q) ⊦ recs = ∅, n ∈ q1, VTBL_VOLID ∈ vols0, VTBL_VOLID × VTBL_LNUM ∈ recs, VTBL_VOLID ∈ vols, ladr.vol ∈ vols ∧ ladr.leb < # vols[ladr.vol], n0 < # wlar ∧ n0 < # wlar

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 145:
# wlar0 = # wlar, # apebs = # wlar, apebs[n] = mkpeb(aehdr, avhdr, buf, m, boolvar), bflipset-cons(bflipset0, wlar0), bflipset-cons(bflipset, wlar), is-encoded(vtbl, buf), unique-sqns(apebs), unmapped-vols(vols0), valid-eraseq(wlar0, q1), valid-eraseq(wlar, q), valid-eraseq-strong(apebs, vtbl, q), valid-eraseq-stronger(apebs, q1), valid-recs(apebs, wlar0, recs0), valid-vtbl(apebs, vols0, wlar0, n), valid-vtbl(apebs, vols, wlar, n), valid-wl(apebs, wlar0), valid-wl(apebs, wlar), ladr ∈ recs, # wlar ≤ recs[ladr].pnum, q1 ⊆ q, recs ⊥ vols, ∀ v, m, n0. v × m ∈ recs ∧ recs[v × m].pnum = n0 ∨ v ∈ vols ∧ m < # vols[v] ∧ vols[v][m] = ⌜n0⌝ ↔ wlar[n0].status = used ∧ n0 < # wlar ∧ apebs[n0].vidhdr.valid? ∧ apebs[n0].vidhdr.vol = v ∧ apebs[n0].vidhdr.leb = m ∧ n0 ≠ n ⊦ recs = ∅, n ∈ q1, VTBL_VOLID ∈ vols0, VTBL_VOLID × VTBL_LNUM ∈ recs, VTBL_VOLID ∈ vols, ladr.vol ∈ vols ∧ ladr.leb < # vols[ladr.vol]

Rule argument

Additional information

Used simplifier rules: lf-vtbl-info: ⊦ valid-vtbl(apebs, vols, wlar, n) ∧ valid-eraseq(wlar, q) → ¬ n ∈ q;% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).data = buf; (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)