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Proof step 64 from proof vols-is-max-is-max-vols (previous step)

# wlar0 = # wlar1, # apebs = # wlar1, # vols0[v] = # vols1[v], avhdr.leb = VTBL_LNUM, avhdr.vol = VTBL_VOLID, wlar1[m5] = wl-entry(m10, used), apebs[m5] = mkpeb(aechdr(m10), avidhdr(v, m, valid-sqns(v0, m11, apebs).max, m7, m8), buf0, m9, false), wlar1[m0] = wl-entry(m4, used), apebs[m0] = mkpeb(aehdr, avhdr, buf, m2, boolvar), wlar0[m0] = wl-entry(m3, used), wlar0[m5] = wl-entry(m12, erasing), unmapped = vols0[v][m], ⌜m5⌝ = vols1[v][m], m5 < # wlar1, m < # vols1[v], m0 < # wlar1, bflipset-cons(bflipset1, wlar1), bflipset-cons(bflipset0, wlar0), is-encoded(to-vtbl(vols1), buf), unique-sqns(apebs), valid-ebatbl(apebs, wlar0, vols0, m0), valid-eraseq(q1), valid-eraseq(wlar1, q1), valid-eraseq(apebs, q1), valid-eraseq(q0), valid-eraseq(apebs, q0), valid-eraseq-strong(apebs, to-vtbl(vols1), q0), valid-global-sqn(apebs, m1), valid-global-sqn(apebs, n1), valid-peb(v0, m11, mkpeb(aechdr(m10), avidhdr(v, m, valid-sqns(v0, m11, apebs).max, m7, m8), buf0, m9, false)), m5 ∈ q0, v ∈ vols1, v ∈ vols0 ⊦ m5 = m0, VTBL_VOLID ∈ vols1, VTBL_VOLID ∈ vols0, v ∈ vols1 ∧ m < # vols1[v] ∧ valid-eraseq-strong(apebs, to-vtbl(vols1), q0) ∧ valid-peb(v, m, apebs[m5]) ∧ apebs[m5].vidhdr.sqn = valid-sqns(v, m, apebs).max

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 65:
# wlar0 = # wlar1, # apebs = # wlar1, # vols0[v] = # vols1[v], avhdr.leb = VTBL_LNUM, avhdr.vol = VTBL_VOLID, wlar1[m5] = wl-entry(m10, used), apebs[m5] = mkpeb(aechdr(m10), avidhdr(v, m, valid-sqns(v0, m11, apebs).max, m7, m8), buf0, m9, false), wlar1[m0] = wl-entry(m4, used), apebs[m0] = mkpeb(aehdr, avhdr, buf, m2, boolvar), wlar0[m0] = wl-entry(m3, used), wlar0[m5] = wl-entry(m12, erasing), unmapped = vols0[v][m], ⌜m5⌝ = vols1[v][m], m5 < # wlar1, m < # vols1[v], m0 < # wlar1, bflipset-cons(bflipset1, wlar1), bflipset-cons(bflipset0, wlar0), is-encoded(to-vtbl(vols1), buf), unique-sqns(apebs), valid-ebatbl(apebs, wlar0, vols0, m0), valid-eraseq(q1), valid-eraseq(wlar1, q1), valid-eraseq(apebs, q1), valid-eraseq(q0), valid-eraseq(apebs, q0), valid-eraseq-strong(apebs, to-vtbl(vols1), q0), valid-global-sqn(apebs, m1), valid-global-sqn(apebs, n1), valid-peb(v0, m11, mkpeb(aechdr(m10), avidhdr(v, m, valid-sqns(v0, m11, apebs).max, m7, m8), buf0, m9, false)), m5 ∈ q0, v ∈ vols1, v ∈ vols0 ⊦ m5 = m0, VTBL_VOLID ∈ vols1, VTBL_VOLID ∈ vols0, v0 = v ∧ m11 = m

Rule argument

Additional information

Used simplifier rules: ⊦ avidhdr(v, m, m0, m1, m2).sqn = m0; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).vidhdr = avhdr; (s)%⊦ valid-peb(v0, m0, apeb) → (valid-peb(v1, m1, apeb) ↔ v0 = v1 ∧ m0 = m1); (s)