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Proof step 56 from proof vols-is-max-is-max-vols (previous step)

# vols0[v] = # vols1[v], # apebs = # wlar1, # wlar0 = # wlar1, avhdr.leb = VTBL_LNUM, avhdr.vol = VTBL_VOLID, wlar0[m5] = wl-entry(m12, used), wlar0[m0] = wl-entry(m3, used), apebs[m0] = mkpeb(aehdr, avhdr, buf, m2, boolvar), wlar1[m0] = wl-entry(m4, used), apebs[m5] = mkpeb(aechdr(m12), avidhdr(v, m, valid-sqns(v0, m11, apebs).max, m7, m8), buf0, m9, false), wlar1[m5] = wl-entry(m12, used), unmapped = vols0[v][m], ⌜m5⌝ = vols1[v][m], m0 < # wlar1, m < # vols1[v], m5 < # wlar1, bflipset-cons(bflipset0, wlar0), bflipset-cons(bflipset1, wlar1), is-encoded(to-vtbl(vols1), buf), unique-sqns(apebs), valid-eraseq(apebs, q0), valid-eraseq(wlar0, q0), valid-eraseq(q0), valid-eraseq(apebs, q1), valid-eraseq(wlar1, q1), valid-eraseq(q1), valid-eraseq-strong(apebs, to-vtbl(vols1), q0), valid-global-sqn(apebs, n1), valid-global-sqn(apebs, m1), valid-peb(v0, m11, mkpeb(aechdr(m12), avidhdr(v, m, valid-sqns(v0, m11, apebs).max, m7, m8), buf0, m9, false)), v ∈ vols0, v ∈ vols1, ∀ v1, m6, n. vols0[v1][m6] = ⌜n⌝ ∧ v1 ∈ vols0 ∧ m6 < # vols0[v1] ↔ wlar0[n].status = used ∧ n < # wlar1 ∧ apebs[n].vidhdr.valid? ∧ apebs[n].vidhdr.vol = v1 ∧ apebs[n].vidhdr.leb = m6 ∧ n ≠ m0 ⊦ m5 = m0, VTBL_VOLID ∈ vols0, VTBL_VOLID ∈ vols1

User applied rule all left

And closed the goal!

Rule argument

pos: left 33 terms: v, m, m5 abort: F discard: T computed: F

Additional information

Used simplifier rules: ⊦ unmapped ≠ ⌜m⌝ ; (s)% ⊦ wl-entry(m, stat).status = stat; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).vidhdr = avhdr; (s)% ⊦ avidhdr(v, m, m0, m1, m2).valid?; (s)% ⊦ avidhdr(v, m, m0, m1, m2).vol = v; (s)% ⊦ avidhdr(v, m, m0, m1, m2).leb = m; (s) Used terms: v, m, m5