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Proof step 21 from proof inv-write-data (previous step)

LEB_SIZE = (n0 + n4) + n5, LEB_SIZE = n2 + n5 + n4, apebs[n] = mkpeb(aehdr, avhdr, buf0, m, false), avhdr.valid?, aehdr.valid?, n < # apebs, is-aligned(n4, EB_PAGE_SIZE), is-aligned(n5, EB_PAGE_SIZE), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf0, m, false)), n4 + n5 ≤ LEB_SIZE, n5 ≤ LEB_SIZE, m ≤ LEB_SIZE, n1 + n4 ≤ # buf, n5 + n4 ≤ LEB_SIZE, m ≤ n5 ⊦ (aehdr = empty → avhdr = empty) ∧ (aehdr ≠ garbage ∧ avhdr = empty → n5 + n4 = 0) ∧ subarray(mkempbuf(n0), 0, n2) = mkempbuf(n2)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 22:
LEB_SIZE = n2 + n5 + n4, apebs[n] = mkpeb(aehdr, avhdr, buf0, m, false), avhdr.valid?, aehdr.valid?, n < # apebs, is-aligned(n4, EB_PAGE_SIZE), is-aligned(n5, EB_PAGE_SIZE), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf0, m, false)), n4 + n5 ≤ LEB_SIZE, n5 ≤ LEB_SIZE, m ≤ LEB_SIZE, n1 + n4 ≤ # buf, n5 + n4 ≤ LEB_SIZE, m ≤ n5 ⊦ (aehdr = empty → avhdr = empty) ∧ (aehdr ≠ garbage ∧ avhdr = empty → n5 + n4 = 0)

Rule argument

Additional information

Used simplifier rules: ⊦ mkempbuf(n) = mkempbuf(m) ↔ n = m; (s)%# buf = n ⊦ subarray(buf, 0, n) = buf; (s)%eqs: ⊦ m = n + n0 ∧ m = n + n1 → n0 = n1; (forward) from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ # mkempbuf(n) = n; (s)