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Proof step 2 from proof peb-inv-write-vidhdr (previous step)

aehdr.valid? ⊦ ubi-io-peb-inv(mkpeb(aehdr, avhdr, mkempbuf(LEB_SIZE), 0, false))

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: peb-inv: ⊦ ubi-io-peb-inv(apeb) ↔ # apeb.data = LEB_SIZE ∧ ( ¬ apeb.bad → (apeb.echdr = empty → apeb.vidhdr = empty) ∧ (apeb.echdr ≠ garbage ∧ apeb.vidhdr = empty → apeb.fill = 0) ∧ apeb.fill ≤ LEB_SIZE ∧ is-aligned(apeb.fill, EB_PAGE_SIZE) ∧ subarray(apeb.data, apeb.fill, LEB_SIZE - apeb.fill) = mkempbuf(LEB_SIZE - apeb.fill));% ⊦ ¬ empty.valid?; (s)% ⊦ mkempbuf(n) = mkempbuf(m) ↔ n = m; (s)%# buf = n ⊦ subarray(buf, 0, n) = buf; (s)% ⊦ m - 0 = m; (s)%n ≠ 0 ⊦ is-aligned(0, n); (s)% ⊦ EB_PAGE_SIZE ≠ 0; (s)% ⊦ 0 ≤ m; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).fill = m; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).vidhdr = avhdr; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).echdr = aehdr; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).bad ↔ boolvar; (s)% ⊦ # mkempbuf(n) = n; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).data = buf; (s)