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Proof step 22 from proof inv-write-data-wl (previous step)

apebs[n2] = mkpeb(aehdr, avhdr, buf0, 0, false), n1 = align↑(datasize(buf, n1), EB_PAGE_SIZE), aehdr.valid?, avhdr.valid?, n2 < # apebs, is-aligned(# buf1, EB_PAGE_SIZE), ubi-io-inv(apebs), # buf1 ≤ n1, n1 ≤ LEB_SIZE, n1 ≤ # buf, datasize(buf1, # buf1) < datasize(buf, n1) ∨ checksum(buf1 + mkempbuf(n1 - # buf1), datasize(buf, n1)) ≠ checksum(buf, datasize(buf, n1)), ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟪apebs[n2] := mkpeb(apebs[n2].echdr, apebs[n2].vidhdr, buf1 + mkempbuf(LEB_SIZE - # buf1), # buf1, apebs[n2].bad)⟫ ubi-io-inv(apebs), datasize(buf, n1) = 0, err0 = ESUCCESS

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Proof step 23:
apebs[n2] = mkpeb(aehdr, avhdr, buf0, 0, false), n1 = align↑(datasize(buf, n1), EB_PAGE_SIZE), avhdr.valid?, aehdr.valid?, n2 < # apebs, is-aligned(# buf1, EB_PAGE_SIZE), ubi-io-inv(apebs), n1 ≤ # buf, n1 ≤ LEB_SIZE, # buf1 ≤ n1, LEB_SIZE ≥ # buf1, ⌊err0⌋ ∨ err0 = ESUCCESS, datasize(buf1, # buf1) < datasize(buf, n1) ∨ checksum(buf1 + mkempbuf(n1 - # buf1), datasize(buf, n1)) ≠ checksum(buf, datasize(buf, n1)) ⊦ datasize(buf, n1) = 0, err0 = ESUCCESS, ubi-io-inv(apebs[n2, mkpeb(apebs[n2].echdr, apebs[n2].vidhdr, buf1 + mkempbuf(LEB_SIZE - # buf1), # buf1, apebs[n2].bad)])

Rule argument

Additional information

Used simplifier rules: ⊦ ⌊err⌋ → err ≠ ESUCCESS; (s)% ⊦ n ≥ m ↔ m ≤ n; (s)% ⊦ EB_PAGE_SIZE ≠ 0; (s)% ⊦ m ≤ n ↔ ¬ n < m; (ss)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%fle: ⊦ m < n ∧ n ≤ n0 → m < n0; (forward) from specification nat%fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat%let: ⊦ n ≤ n0 ∧ n0 ≤ n1 → n ≤ n1; (forward) from specification nat% ⊦ m < n → n ≠ 0; (s)% ⊦ m ≤ n → (n < m ↔ false); (s)%n ≠ 0, m % n = 0 ⊦ align↑(m, n) = m; (s)