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Proof step 84 from proof vols-is-max-is-min-eraseq (previous step)

# wlar0 = # wlar1, # apebs = # wlar1, vols1[v][m] = ⌜n⌝ , apebs[n] = mkpeb(aechdr(m5), avhdr0, buf0, m4, false), wlar1[n] = wl-entry(m5, used), apebs[n0] = mkpeb(aehdr, avhdr, buf, m2, boolvar), wlar0[n] = wl-entry(m3, erasing), avhdr0 = avidhdr(v0, m6, m7, m8, m9), m7 = valid-sqns(v, m, apebs).max, avhdr0.valid?, m < # vols1[v], n < # wlar1, bflipset-cons(bflipset, wlar1), bflipset-cons(bflipset0, wlar0), is-encoded(vtbl, buf), unique-sqns(apebs), valid-ebatbl(apebs, wlar0, vols0, n0), valid-eraseq(q1), valid-eraseq(wlar1, q1), valid-eraseq(apebs, q1), valid-eraseq(q0), valid-eraseq(apebs, q0), valid-eraseq-strong(apebs, vtbl, q0), valid-global-sqn(apebs, m1), valid-global-sqn(apebs, n1), valid-peb(v, m, mkpeb(aechdr(m5), avhdr0, buf0, m4, false)), valid-vtbl(apebs, vols1, wlar1, m0), valid-vtbl(apebs, vols0, wlar0, n0), valid-wl(apebs, wlar0), v ∈ vols1, n ∈ q0, eq-entry(n, v × m) ∈ q0, ∀ v. (v ∈ vols1 ↔ v ∈ vols0) ∧ (v ∈ vols1 → # vols1[v] = # vols0[v] ∧ (∀ m. m < # vols1[v] ∧ vols1[v][m] ≠ unmapped → vols1[v][m] = vols0[v][m])) ⊦ avhdr0 = empty, n = m0, v × m ∈ q1, VTBL_VOLID ∈ vols1, VTBL_VOLID ∈ vols0, v ∈ vols0 ∧ m < # vols0[v]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 85:
# apebs = # wlar1, # wlar0 = # wlar1, wlar0[n] = wl-entry(m3, erasing), apebs[n0] = mkpeb(aehdr, avhdr, buf, m2, boolvar), wlar1[n] = wl-entry(m5, used), apebs[n] = mkpeb(aechdr(m5), avidhdr(v0, m6, valid-sqns(v, m, apebs).max, m8, m9), buf0, m4, false), vols1[v][m] = ⌜n⌝ , n < # wlar1, m < # vols1[v], bflipset-cons(bflipset0, wlar0), bflipset-cons(bflipset, wlar1), is-encoded(vtbl, buf), unique-sqns(apebs), valid-ebatbl(apebs, wlar0, vols0, n0), valid-eraseq(apebs, q0), valid-eraseq(q0), valid-eraseq(apebs, q1), valid-eraseq(wlar1, q1), valid-eraseq(q1), valid-eraseq-strong(apebs, vtbl, q0), valid-global-sqn(apebs, n1), valid-global-sqn(apebs, m1), valid-peb(v, m, mkpeb(aechdr(m5), avidhdr(v0, m6, valid-sqns(v, m, apebs).max, m8, m9), buf0, m4, false)), valid-vtbl(apebs, vols0, wlar0, n0), valid-vtbl(apebs, vols1, wlar1, m0), valid-wl(apebs, wlar0), eq-entry(n, v × m) ∈ q0, n ∈ q0, v ∈ vols1, ∀ v. (v ∈ vols1 ↔ v ∈ vols0) ∧ (v ∈ vols1 → # vols1[v] = # vols0[v] ∧ (∀ m. m < # vols1[v] ∧ vols1[v][m] ≠ unmapped → vols1[v][m] = vols0[v][m])) ⊦ n = m0, VTBL_VOLID ∈ vols0, VTBL_VOLID ∈ vols1, v × m ∈ q1, v ∈ vols0 ∧ m < # vols0[v]

Rule argument

Additional information

Used simplifier rules: ⊦ avidhdr(v, m, m0, m1, m2).valid?; (s)% ⊦ empty ≠ avidhdr(v, m, m0, m1, m2); (s)