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

apebs[m1] = mkpeb(aehdr, avhdr, buf0, 0, false), pebs[m1] = mkpeb(buf1, 2 * EB_PAGE_SIZE, false), err = err0, err = ESUCCESS, n = align↑(datasize(buf, n), EB_PAGE_SIZE), aehdr.valid?, avhdr.valid?, m1 < # apebs, m1 < # pebs, abs(pebs, apebs), abs-peb(mkpeb(buf1, 2 * EB_PAGE_SIZE, false), mkpeb(aehdr, avhdr, buf0, 0, false)), is-aligned(n, EB_PAGE_SIZE), mtd-cons(pebs), ubi-io-inv(apebs), 0 + n ≤ # buf, 2 * EB_PAGE_SIZE + n ≤ # pebs[m1].data, n ≤ LEB_SIZE, n ≤ # buf, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟪pebs := pebs[m1, pebs[m1].data:= copy(buf, 0, pebs[m1].data, 2 * EB_PAGE_SIZE, n)] [m1, pebs[m1, pebs[m1].data:= copy(buf, 0, pebs[m1].data, 2 * EB_PAGE_SIZE, n)][m1].fill:= (2 * EB_PAGE_SIZE + n) ]⟫ ⟨aubi_io_write_data_wl#(m1, n, buf; apebs; err1)⟩ (abs(pebs, apebs) ∧ err = err1), datasize(buf, n) = 0

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Proof step 19:
pebs[m1] = mkpeb(buf1, 2 * EB_PAGE_SIZE, false), apebs[m1] = mkpeb(aehdr, avhdr, buf0, 0, false), err = ESUCCESS, err = err0, n = align↑(datasize(buf, n), EB_PAGE_SIZE), avhdr.valid?, aehdr.valid?, m1 < # pebs[m1, pebs[m1].data:= copy(buf, 0, pebs[m1].data, 2 * EB_PAGE_SIZE, n)], m1 < # pebs, m1 < # apebs, abs(pebs, apebs), abs-peb(mkpeb(buf1, 2 * EB_PAGE_SIZE, false), mkpeb(aehdr, avhdr, buf0, 0, false)), is-aligned(n, EB_PAGE_SIZE), mtd-cons(pebs), ubi-io-inv(apebs), n ≤ # buf, n ≤ LEB_SIZE, 2 * EB_PAGE_SIZE + n ≤ # pebs[m1].data, 0 + n ≤ # buf, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟨aubi_io_write_data_wl#(m1, n, buf; apebs; err1)⟩ ( abs (pebs[m1, pebs[m1].data:= copy(buf, 0, pebs[m1].data, 2 * EB_PAGE_SIZE, n)] [m1, pebs[m1, pebs[m1].data:= copy(buf, 0, pebs[m1].data, 2 * EB_PAGE_SIZE, n)][m1].fill:= (2 * EB_PAGE_SIZE + n) ], apebs) ∧ err = err1), datasize(buf, n) = 0

Rule argument

Additional information

Used simplifier rules: ⊦ n + 0 = n; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ ¬ ⌊ESUCCESS⌋ ; (s)% ⊦ # pebs[n, peb] = # pebs; (s)