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Proof step 3 from proof prepost-io-write-data (previous step)

# apebs = # wlar, wlar[n].status = used, n0 ≠ n, n < # wlar, bflipset-cons(bflipset, wlar), is-aligned(m2, EB_PAGE_SIZE), is-aligned(m0, EB_PAGE_SIZE), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, n0), valid-eraseq(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs, n1), valid-vtbl(apebs, vols, wlar, n0), valid-wl(apebs, wlar), m1 + m2 ≤ # buf, m0 + m2 ≤ LEB_SIZE, apebs[n].fill ≤ m0, ¬ n0 ∈ q, ¬ VTBL_VOLID ∈ vols ⊦ ⟪aubi_io_write_data#(n, m0, m1, m2, buf; apebs; err)⟫ ( # apebs = # wlar ∧ unique-sqns(apebs) ∧ valid-global-sqn(apebs, n1) ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(apebs, q) ∧ valid-ebatbl(apebs, wlar, vols, n0) ∧ valid-vtbl(apebs, vols, wlar, n0) ∧ ubi-io-inv(apebs))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 4:
# apebs = # wlar, wlar[n].status = used, apebs[n] = mkpeb(aehdr, avhdr, buf0, m, boolvar), n < # wlar, bflipset-cons(bflipset, wlar), is-aligned(m0, EB_PAGE_SIZE), is-aligned(m2, EB_PAGE_SIZE), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, n0), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-global-sqn(apebs, n1), valid-vtbl(apebs, vols, wlar, n0), valid-wl(apebs, wlar), m ≤ m0, m0 + m2 ≤ LEB_SIZE, m1 + m2 ≤ # buf ⊦ ⟪aubi_io_write_data#(n, m0, m1, m2, buf; apebs; err)⟫ ( # apebs = # wlar ∧ unique-sqns(apebs) ∧ valid-global-sqn(apebs, n1) ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(apebs, q) ∧ valid-ebatbl(apebs, wlar, vols, n0) ∧ valid-vtbl(apebs, vols, wlar, n0) ∧ ubi-io-inv(apebs)), n0 = n, n0 ∈ q, VTBL_VOLID ∈ vols

Rule argument

spec: apeb name: elim seq: ⊦ ( ( (aehdr = apeb.echdr ∧ avhdr = apeb.vidhdr) ∧ buf = apeb.data) ∧ m = apeb.fill) ∧ (boolvar ↔ apeb.bad) ↔ apeb = mkpeb(aehdr, avhdr, buf, m, boolvar) subst: [apeb, aehdr, avhdr, buf, m, boolvar] → [apebs[n], aehdr, avhdr, buf0, m, boolvar]

Additional information

Used simplifier rules: ⊦ ( ((aehdr = apeb.echdr ∧ avhdr = apeb.vidhdr) ∧ buf = apeb.data) ∧ m = apeb.fill) ∧ (boolvar ↔ apeb.bad) ↔ apeb = mkpeb(aehdr, avhdr, buf, m, boolvar); (elim) Used terms: apebs[n], aehdr, avhdr, buf0, m, boolvar