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Proof step 20 from proof refine-write-echdr (previous step)

# buf2 = EB_PAGE_SIZE, pebs[m2] = mkpeb(buf1, 0, false), apebs[m2] = mkpeb(empty, avhdr, buf0, m1, false), m2 < # apebs, m2 < # pebs, abs(pebs, apebs), abs-peb(mkpeb(buf1, 0, false), mkpeb(empty, avhdr, buf0, m1, false)), is-encoded(echdr(m), buf2), mtd-cons(pebs), ubi-io-inv(apebs) ⊦ ⟪mtd_asm_write#(m2, 0, 0, EB_PAGE_SIZE, buf2; pebs; err)⟫ ⟨aubi_io_write_echdr#(m2, aechdr(m); apebs; err0)⟩ (abs(pebs, apebs) ∧ err = err0)

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 21:
# buf2 = EB_PAGE_SIZE, apebs[m2] = mkpeb(empty, avhdr, buf0, m1, false), pebs[m2] = mkpeb(buf1, 0, false), buf = buf2, m = 0, m0 = m2, n0 = EB_PAGE_SIZE, n1 = 0, m2 < # pebs, m2 < # apebs, abs(pebs, apebs), abs-peb(mkpeb(buf1, 0, false), mkpeb(empty, avhdr, buf0, m1, false)), is-encoded(echdr(m3), buf2), mtd-cons(pebs), ubi-io-inv(apebs) ⊦ ⟪if m0 < # pebs ∧ ¬ pebs[m0].bad ∧ pebs[m0].fill ≤ m ∧ m + n0 ≤ PEB_SIZE ∧ n1 + n0 ≤ # buf ∧ is-aligned(m, EB_PAGE_SIZE) ∧ is-aligned(n0, EB_PAGE_SIZE) then {fail_or_success#(; ; err); if err = ESUCCESS then {pebs[m0].data := copy(buf, n1, pebs[m0].data, m, n0); pebs[m0].fill := m + n0} else choose n with (n < n0 ∨ n = 0 ∧ n0 = 0) ∧ is-aligned(n, EB_PAGE_SIZE) in if n ≠ 0 then {pebs[m0].data := copy(buf, n1, pebs[m0].data, m, n); pebs[m0].fill := m + n}} else abort⟫ ⟨aubi_io_write_echdr#(m2, aechdr(m3); apebs; err0)⟩ (abs(pebs, apebs) ∧ err = err0)

Rule argument

pos: right 1

Additional information

Used simplifier rules: mtd_asm_write#(PNUM, OFFSET, N0, N, BUF; PEBS; ERR) {if PNUM < # PEBS ∧ ¬ PEBS[PNUM].bad ∧ PEBS[PNUM].fill ≤ OFFSET ∧ OFFSET + N ≤ PEB_SIZE ∧ N0 + N ≤ # BUF ∧ is-aligned(OFFSET, EB_PAGE_SIZE) ∧ is-aligned(N, EB_PAGE_SIZE) then {fail_or_success#(; ; ERR); if ERR = ESUCCESS then {PEBS[PNUM].data := copy(BUF, N0, PEBS[PNUM].data, OFFSET, N); PEBS[PNUM].fill := OFFSET + N} else choose N1 with (N1 < N ∨ N1 = 0 ∧ N = 0) ∧ is-aligned(N1, EB_PAGE_SIZE) in if N1 ≠ 0 then {PEBS[PNUM].data := copy(BUF, N0, PEBS[PNUM].data, OFFSET, N1); PEBS[PNUM].fill := OFFSET + N1}} else abort };