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Proof step 24 from proof ubi-cons-same-vtbl (previous step)

# apebs = # wlar1, # wlar0 = # wlar1, avhdr.leb = VTBL_LNUM, avhdr0.sqn = valid-sqns(VTBL_VOLID, VTBL_LNUM, apebs).max, avhdr.vol = VTBL_VOLID, wlar1[m0] = wl-entry(m2, used), apebs[m0] = mkpeb(aehdr, avhdr, buf, m, boolvar), apebs[n0] = mkpeb(aechdr(m4), avhdr0, buf0, m3, false), wlar0[n0] = wl-entry(m4, used), m0 < # wlar1, n0 < # wlar1, bflipset-cons(bflipset0, wlar0), bflipset-cons(bflipset1, wlar1), is-encoded(to-vtbl(vols1), buf), is-encoded(to-vtbl(vols0), buf0), unique-sqns(apebs), valid-ebatbl(apebs, wlar0, vols0, n0), valid-ebatbl(apebs, wlar1, vols1, m0), valid-eraseq(apebs, q0), valid-eraseq(wlar0, q0), valid-eraseq(q0), valid-eraseq(apebs, q1), valid-eraseq(wlar1, q1), valid-eraseq(q1), valid-global-sqn(apebs, n1), valid-global-sqn(apebs, m1), valid-peb(VTBL_VOLID, VTBL_LNUM, mkpeb(aechdr(m4), avhdr0, buf0, m3, false)), ∀ n. n < # wlar1 → (wlar1[n].status = erroneous ↔ apebs[n].bad) ∧ (wlar1[n].status = free → apebs[n].vidhdr = empty) ∧ (wlar1[n].status ≠ erroneous ∧ wlar1[n].status ≠ erasing → apebs[n].echdr = aechdr(wlar1[n].ec)) ∧ (wlar1[n].status = used → (∃ v, m. valid-peb(v, m, apebs[n]) ∧ apebs[n].vidhdr.sqn = valid-sqns(v, m, apebs).max)) ⊦ n0 = m0, VTBL_VOLID ∈ vols0, VTBL_VOLID ∈ vols1

User applied rule all left

And obtained the following new goals

Proof step 25:
# wlar0 = # wlar1, # apebs = # wlar1, avhdr.leb = VTBL_LNUM, avhdr0.sqn = valid-sqns(VTBL_VOLID, VTBL_LNUM, apebs).max, avhdr.vol = VTBL_VOLID, wlar0[n0] = wl-entry(m4, used), apebs[n0] = mkpeb(aechdr(m4), avhdr0, buf0, m3, false), apebs[m0] = mkpeb(aehdr, avhdr, buf, m, boolvar), wlar1[m0] = wl-entry(m2, used), n0 < # wlar1, m0 < # wlar1, bflipset-cons(bflipset1, wlar1), bflipset-cons(bflipset0, wlar0), is-encoded(to-vtbl(vols0), buf0), is-encoded(to-vtbl(vols1), buf), unique-sqns(apebs), valid-ebatbl(apebs, wlar1, vols1, m0), valid-ebatbl(apebs, wlar0, vols0, n0), valid-eraseq(q1), valid-eraseq(wlar1, q1), valid-eraseq(apebs, q1), valid-eraseq(q0), valid-eraseq(wlar0, q0), valid-eraseq(apebs, q0), valid-global-sqn(apebs, m1), valid-global-sqn(apebs, n1), valid-peb(VTBL_VOLID, VTBL_LNUM, mkpeb(aechdr(m4), avhdr0, buf0, m3, false)), m0 < # wlar1 → (wlar1[m0].status = erroneous ↔ apebs[m0].bad) ∧ (wlar1[m0].status = free → apebs[m0].vidhdr = empty) ∧ (wlar1[m0].status ≠ erroneous ∧ wlar1[m0].status ≠ erasing → apebs[m0].echdr = aechdr(wlar1[m0].ec)) ∧ (wlar1[m0].status = used → (∃ v, m. valid-peb(v, m, apebs[m0]) ∧ apebs[m0].vidhdr.sqn = valid-sqns(v, m, apebs).max)) ⊦ n0 = m0, VTBL_VOLID ∈ vols1, VTBL_VOLID ∈ vols0

Rule argument

pos: left 28 terms: m0 abort: F discard: T computed: T

Additional information

Used terms: m0