| vtblpnum1 = LEB_SIZE, vtblpnum2 = EB_PAGE_SIZE, vtblpnum < # avols[v], abs(avols, apebs, vols, q), ebm-cons(avols), is-aligned(n, EB_PAGE_SIZE), ubi-cons(apebs, vols, wlar, q, bflipset, vtblpnum0, sqnum), ubi-io-inv(apebs), v ∈ avols, n ≤ # buf, n ≤ LEB_SIZE ⊦ ⟪ubi_change#(v, vtblpnum, n, buf, vtblpnum2; vols, wlar, q, bflipset, vtblpnum0, sqnum, apebs; err)⟫ ⟨ebm_change#(v, vtblpnum, n, buf; avols; err0)⟩ (abs(avols, apebs, vols, q) ∧ err = err0) |
# apebs = # wlar, vtblpnum < # avols[v], abs(avols, apebs, vols, q), bflipset-cons(bflipset, wlar), ebm-cons(avols), is-aligned(n, EB_PAGE_SIZE), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum0), valid-eraseq(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum0), valid-wl(apebs, wlar), v ∈ avols, n ≤ # buf, n ≤ LEB_SIZE, ¬ VTBL_VOLID ∈ vols ⊦ ⟪ubi_change#(v, vtblpnum, n, buf, EB_PAGE_SIZE; vols, wlar, q, bflipset, vtblpnum0, sqnum, apebs; err)⟫ ⟨ebm_change#(v, vtblpnum, n, buf; avols; err0)⟩ (abs(avols, apebs, vols, q) ∧ err = err0)
Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%⊦ ubi-cons(apebs, vols, wlar, q, bflipset, n0, n1) ↔ # apebs = # wlar ∧ unique-sqns(apebs) ∧ valid-global-sqn(apebs, n1) ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(q) ∧ valid-eraseq(wlar, q) ∧ valid-eraseq(apebs, q) ∧ ¬ VTBL_VOLID ∈ vols ∧ bflipset-cons(bflipset, wlar) ∧ valid-ebatbl(apebs, wlar, vols, n0) ∧ valid-vtbl(apebs, vols, wlar, n0); (s)