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Proof step 11 from proof inv-write-data-wl (previous step)

apebs[n2] = mkpeb(aehdr, avhdr, buf1, 0, false), err0 = ESUCCESS, n1 = align↑(datasize(buf, n1), EB_PAGE_SIZE), avhdr.valid?, aehdr.valid?, n2 < # apebs, ubi-io-inv(apebs), n1 ≤ # buf, n1 ≤ LEB_SIZE, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟪apebs[n2] := mkpeb(apebs[n2].echdr, apebs[n2].vidhdr, subarray(buf, 0, n1) + mkempbuf(LEB_SIZE - n1), n1, apebs[n2].bad)⟫ ubi-io-inv(apebs), datasize(buf, n1) = 0

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Proof step 12:
apebs[n2] = mkpeb(aehdr, avhdr, buf1, 0, false), err0 = ESUCCESS, n1 = align↑(datasize(buf, n1), EB_PAGE_SIZE), aehdr.valid?, avhdr.valid?, n2 < # apebs, ubi-io-inv(apebs), 0 + n1 ≤ # buf, n1 ≤ LEB_SIZE, n1 ≤ # buf, LEB_SIZE ≥ n1, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ datasize(buf, n1) = 0, ubi-io-inv(apebs[n2, mkpeb(apebs[n2].echdr, apebs[n2].vidhdr, subarray(buf, 0, n1) + mkempbuf(LEB_SIZE - n1), n1, apebs[n2].bad)])

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ ⌊ESUCCESS⌋ ; (s)% ⊦ n + 0 = n; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ n ≥ m ↔ m ≤ n; (s)