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Proof step 2 from proof inv-write-data (previous step)

apebs[n].vidhdr.valid?, apebs[n].echdr.valid?, n < # apebs, is-aligned(n2, EB_PAGE_SIZE), is-aligned(n0, EB_PAGE_SIZE), ubi-io-inv(apebs), n1 + n2 ≤ # buf, n0 + n2 ≤ LEB_SIZE, apebs[n].fill ≤ n0, ¬ apebs[n].bad ⊦ ⟪aubi_io_write_data#(n, n0, n1, n2, buf; apebs; err)⟫ ubi-io-inv(apebs)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 3:
apebs[n] = mkpeb(aehdr, avhdr, buf0, m, boolvar), ¬ boolvar, aehdr.valid?, avhdr.valid?, n < # apebs, is-aligned(n0, EB_PAGE_SIZE), is-aligned(n2, EB_PAGE_SIZE), ubi-io-inv(apebs), m ≤ n0, n0 + n2 ≤ LEB_SIZE, n1 + n2 ≤ # buf ⊦ ⟪aubi_io_write_data#(n, n0, n1, n2, buf; apebs; err)⟫ ubi-io-inv(apebs)

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