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Proof step 15 from proof refine-read-echdr (previous step)

apebs[m2] = mkpeb(aehdr1, avhdr, buf0, m1, false), pebs[m2] = mkpeb(buf1, m, false), buf = mkbuf(EB_PAGE_SIZE), m2 < # pebs, m2 < # apebs, abs(pebs, apebs), abs-peb(mkpeb(buf1, m, false), mkpeb(aehdr1, avhdr, buf0, m1, false)), mtd-cons(pebs), ubi-io-inv(apebs), EB_PAGE_SIZE ≤ PEB_SIZE ⊦ ∀ buf, bitflips, err. # buf = EB_PAGE_SIZE ∧ EB_PAGE_SIZE ≤ # buf ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → buf = subarray(pebs[m2].data, 0, EB_PAGE_SIZE)) → ⟪aehdr := aehdr0; if err = ESUCCESS then if buf = mkempbuf(# buf) then aehdr := empty else let ehdr = ? in {decode_echeader#(EB_PAGE_SIZE, buf; ehdr; err); if err = ESUCCESS then aehdr := aechdr(ehdr.ec)}⟫ ⟨aubi_io_read_echdr#(m2, apebs; aehdr0; isbad, err0)⟩ (aehdr = aehdr0 ∧ (bitflips ↔ isbad) ∧ err = err0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 16:
# buf2 = EB_PAGE_SIZE, apebs[m2] = mkpeb(aehdr1, avhdr, buf0, m1, false), pebs[m2] = mkpeb(buf1, m, false), m2 < # pebs, m2 < # apebs, abs(pebs, apebs), abs-peb(mkpeb(buf1, m, false), mkpeb(aehdr1, avhdr, buf0, m1, false)), mtd-cons(pebs), ubi-io-inv(apebs), EB_PAGE_SIZE ≤ PEB_SIZE, err = ESUCCESS → buf2 = subarray(buf1, 0, EB_PAGE_SIZE), err = ESUCCESS ∨ ⌊err⌋ ⊦ ⟪aehdr := aehdr0; if err = ESUCCESS then if buf2 = emptypage then aehdr := empty else let ehdr = ? in {decode_echeader#(EB_PAGE_SIZE, buf2; ehdr; err); if err = ESUCCESS then aehdr := aechdr(ehdr.ec)}⟫ ⟨aubi_io_read_echdr#(m2, apebs; aehdr0; isbad, err0)⟩ (aehdr = aehdr0 ∧ (bitflips ↔ isbad) ∧ err = err0)

Rule argument

Additional information

Used simplifier rules: ⊦ mkempbuf(EB_PAGE_SIZE) = emptypage; (s)% ⊦ mkpeb(buf, m, boolvar).data = buf; (s)% ⊦ m ≤ m; (s)%let: ⊦ n ≤ n0 ∧ n0 ≤ n1 → n ≤ n1; (forward) from specification nat