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Proof step 18 from proof inv-write-data-wl (previous step)

LEB_SIZE = n0 + n1, LEB_SIZE = n3 + n1, apebs[n2] = mkpeb(aehdr, avhdr, buf1, 0, false), n1 = align↑(datasize(buf, n1), EB_PAGE_SIZE), aehdr.valid?, avhdr.valid?, n2 < # apebs, ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf1, 0, false)), n1 ≤ # buf, n1 ≤ LEB_SIZE ⊦ datasize(buf, n1) = 0, (aehdr = empty → avhdr = empty) ∧ (aehdr ≠ garbage ∧ avhdr = empty → n1 = 0) ∧ is-aligned(n1, EB_PAGE_SIZE) ∧ subarray(mkempbuf(n0), 0, n3) = mkempbuf(n3)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 19:
LEB_SIZE = n3 + n1, apebs[n2] = mkpeb(aehdr, avhdr, buf1, 0, false), n1 = align↑(datasize(buf, n1), EB_PAGE_SIZE), aehdr.valid?, avhdr.valid?, n2 < # apebs, ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf1, 0, false)), n1 ≤ # buf, n1 ≤ LEB_SIZE ⊦ datasize(buf, n1) = 0, (aehdr = empty → avhdr = empty) ∧ (aehdr ≠ garbage ∧ avhdr = empty → n1 = 0) ∧ is-aligned(n1, EB_PAGE_SIZE)

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)