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Proof step 8 from proof inv-read-data (previous step)

pebs[m3] = mkpeb(buf0, m4, false), m3 < # pebs, mtd-cons(pebs), m2 + n ≤ LEB_SIZE, n0 + n ≤ # buf ⊦ ⟪ubi_io_read#(m3, m2 + 2 * EB_PAGE_SIZE, n0, n, pebs; buf; bitflips, err)⟫ true

User applied rule insert program lemma

And obtained the following new goals

Proof step 9:
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)))

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, n, n0, m2 + 2 * EB_PAGE_SIZE, m3, buf, err, bitflips, buf] flags: <all paths>

Additional information

Used simplifier rules: ⊦ mkpeb(buf, m, boolvar).bad ↔ boolvar; (s)% ⊦ m ≤ n ↔ ¬ n < m; (ss)% ⊦ m ≤ LEB_SIZE → ¬ PEB_SIZE < m + 2 * EB_PAGE_SIZE; (s)%mult-a: ⊦ m0 * m * n = (m0 * m) * n; from specification nat-mult%mult-c: ⊦ m * n = n * m; from specification nat-mult%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic