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Proof step 158 from proof inv-recover (previous step)

# wlar = # wlar0, # wlar1 = # wlar0, # apebs0 = # wlar0, apebs0[m1] = mkpeb(aehdr, avhdr, buf1, m0, false), recs0[VTBL_VOLID × VTBL_LNUM] = recovery-entry(m1, avhdr.sqn), nx < # wlar0, m1 < # wlar0, bflipset-cons(bflipset2, wlar0), bflipset-cons(bflipset0, wlar), bflipset-cons(bflipset, wlar), bflipset-cons(bflipset1, wlar1), indices-erasing(wlar, nx), is-encoded(vtbl, buf1), ubi-io-inv(apebs0), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf1, m0, false)), unique-sqns(apebs0), unmapped-vols(vols0), valid-ebatbl(apebs0, wlar0, vols, m1), valid-ebatbl(apebs0, wlar1, vols1, m1), valid-eraseq(wlar0, q0), valid-eraseq(wlar, q), valid-eraseq(apebs0, q1), valid-eraseq(wlar1, q1), valid-eraseq(q1), valid-eraseq-strong(apebs0, vtbl, q0), valid-eraseq-stronger(apebs0, q), valid-global-sqn(apebs0, sqnum), valid-global-sqn(apebs0, vtblpnum5), valid-indices(wlar0, nx), valid-recs(apebs0, wlar, recs0), valid-recs-sqns(apebs0, recs0), valid-vtbl(apebs0, vols, wlar0, m1), valid-vtbl(apebs0, vols0, wlar, m1), valid-vtbl(apebs0, vols1, wlar1, m1), valid-vtbl-weak(apebs0, m1), valid-wl(apebs0, wlar0), valid-wl(apebs0, wlar), valid-wl(apebs0, wlar1), VTBL_VOLID × VTBL_LNUM ∈ recs0, q ⊆ q0 ⊦ dups(nx), VTBL_VOLID ∈ vols1, m1 ∈ q, VTBL_VOLID ∈ vols0, m1 ∈ q1, VTBL_VOLID ∈ vols, m1 ∈ q0, m1 < # apebs0 ∧ m1 < # wlar0.mapIndices(nx, λ wle. wle.ec:= 0) ∧ wlar0.mapIndices(nx, λ wle. wle.ec:= 0)[m1].status = used ∧ apebs0[m1].vidhdr.vol = VTBL_VOLID ∧ apebs0[m1].vidhdr.leb = VTBL_LNUM ∧ is-encoded(to-vtbl(vols), apebs0[m1].data)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 159:
# wlar = # wlar0, # wlar1 = # wlar0, # apebs0 = # wlar0, apebs0[m1] = mkpeb(aehdr, avhdr, buf1, m0, false), recs0[VTBL_VOLID × VTBL_LNUM] = recovery-entry(m1, avhdr.sqn), nx < # wlar0, m1 < # wlar0, bflipset-cons(bflipset2, wlar0), bflipset-cons(bflipset0, wlar), bflipset-cons(bflipset, wlar), bflipset-cons(bflipset1, wlar1), indices-erasing(wlar, nx), is-encoded(vtbl, buf1), ubi-io-inv(apebs0), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf1, m0, false)), unique-sqns(apebs0), unmapped-vols(vols0), valid-ebatbl(apebs0, wlar0, vols, m1), valid-ebatbl(apebs0, wlar1, vols1, m1), valid-eraseq(wlar0, q0), valid-eraseq(wlar, q), valid-eraseq(apebs0, q1), valid-eraseq(wlar1, q1), valid-eraseq(q1), valid-eraseq-strong(apebs0, vtbl, q0), valid-eraseq-stronger(apebs0, q), valid-global-sqn(apebs0, sqnum), valid-global-sqn(apebs0, vtblpnum5), valid-indices(wlar0, nx), valid-recs(apebs0, wlar, recs0), valid-recs-sqns(apebs0, recs0), valid-vtbl(apebs0, vols, wlar0, m1), valid-vtbl(apebs0, vols0, wlar, m1), valid-vtbl(apebs0, vols1, wlar1, m1), valid-vtbl-weak(apebs0, m1), valid-wl(apebs0, wlar0), valid-wl(apebs0, wlar), valid-wl(apebs0, wlar1), VTBL_VOLID × VTBL_LNUM ∈ recs0, q ⊆ q0 ⊦ dups(nx), VTBL_VOLID ∈ vols1, m1 ∈ q, VTBL_VOLID ∈ vols0, m1 ∈ q1, VTBL_VOLID ∈ vols, m1 ∈ q0, m1 < # wlar0.mapIndices(nx, λ wle. wle.ec:= 0) ∧ wlar0.mapIndices(nx, λ wle. wle.ec:= 0)[m1].status = used ∧ avhdr.vol = VTBL_VOLID ∧ avhdr.leb = VTBL_LNUM

Rule argument

Additional information

Used simplifier rules: ⊦ apebs[n0] = mkpeb(aehdr, avhdr, buf, m, boolvar) ∧ valid-vtbl(apebs, vols, wlar, n0) → is-encoded(to-vtbl(vols), buf); (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).data = buf; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).vidhdr = avhdr; (s)% ⊦ valid-vtbl(apebs, vols, wlar, n0) → n0 < # wlar; (ss)