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Proof step 9 from proof inv-read-echdr (previous step)

pebs[m0] = mkpeb(buf0, m1, false), buf = mkbuf(EB_PAGE_SIZE), m0 < # pebs, mtd-cons(pebs) ⊦ ⟪ubi_io_read#(m0, 0, 0, EB_PAGE_SIZE, pebs; buf; bitflips, err); 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)}⟫ true

User applied rule insert program lemma

And obtained the following new goals

Proof step 10:
mtd-cons(pebs), m < # pebs, ¬ pebs[m].bad, m0 + n ≤ PEB_SIZE, n0 + n ≤ # buf, buf0 = buf ⊦ ⟪ubi_io_read#(m, m0, n0, n, pebs; buf; bitflips, err)⟫ ( # buf = # buf0 ∧ range=(buf, 0, buf0, 0, n0) ∧ range=(buf, n0 + n, buf0, n0 + n, # buf0 - n0 + n) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → subarray(buf, n0, n) = subarray(pebs[m].data, m0, n)))
Proof step 11:
pebs[m0] = mkpeb(buf0, m1, false), buf = mkbuf(EB_PAGE_SIZE), buf = buf, buf1 = buf, m2 = m0, m3 = 0, n1 = EB_PAGE_SIZE, n2 = 0, pebs0 = pebs, m0 < # pebs, mtd-cons(pebs), 0 + EB_PAGE_SIZE ≤ PEB_SIZE, 0 + EB_PAGE_SIZE ≤ # buf ⊦ [ubi_io_read#(m0, 0, 0, EB_PAGE_SIZE, pebs; buf; bitflips, err)] ( # buf = # buf1 ∧ range=(buf, 0, buf1, 0, n2) ∧ range=(buf, n2 + n1, buf1, n2 + n1, # buf1 - n2 + n1) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → subarray(buf, n2, n1) = subarray(pebs0[m2].data, m3, n1)) → ⟪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)}⟫ true), pebs[m0].bad

Rule argument

spec: <toplevel> name: inv-io-read seq: mtd-cons(pebs), m < # pebs, ¬ pebs[m].bad, m0 + n ≤ PEB_SIZE, n0 + n ≤ # buf, buf0 = buf ⊦ ⟪ubi_io_read#(m, m0, n0, n, pebs; buf; bitflips, err)⟫ ( # buf = # buf0 ∧ range=(buf, 0, buf0, 0, n0) ∧ range=(buf, n0 + n, buf0, n0 + n, # buf0 - n0 + n) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ ( err = ESUCCESS → subarray(buf, n0, n) = subarray(pebs[m].data, m0, n))) subst: [pebs, n, n0, m0, m, buf, err, bitflips, buf0] → [pebs, EB_PAGE_SIZE, 0, 0, m0, buf, err, bitflips, buf] flags: <all paths>

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% ⊦ # mkbuf(n) = n; (s)% ⊦ m ≤ m; (s)% ⊦ mkpeb(buf, m, boolvar).bad ↔ boolvar; (s)% ⊦ m ≤ n ↔ ¬ n < m; (ss)% ⊦ ¬ PEB_SIZE < EB_PAGE_SIZE; (s)