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Proof step 23 from proof inv-format (previous step)

err = ESUCCESS, err0 = ESUCCESS, m = m1, m0 = EB_PAGE_SIZE, m2 = 0, n = # pebs, n = # pebs0, m < n, mtd-cons(pebs), mtd-cons(pebs0), m ≤ n, err = ESUCCESS → ubi-io-initial(subarray(pebs, 0, m)), err = ESUCCESS ∨ ⌊err⌋ ⊦ ⟪mtd_asm_isbad#(m, pebs; ; isbad, err); if err = ESUCCESS ∧ ¬ isbad then let aehdr = ?, bitflips = ? in {ubi_io_read_echdr#(m, m0, pebs; aehdr; bitflips, err); let n = (err = ESUCCESS ∧ aehdr.valid? ⊃ aehdr.ec + 1;0) in {mtd_asm_erase#(m; pebs; err); if err = ESUCCESS then ubi_io_write_echdr#(m, aechdr(n), m0; pebs; err)}}; m := m + 1⟫ ( (m ≤ n ∧ n = # pebs ∧ mtd-cons(pebs) ∧ (err = ESUCCESS → ubi-io-initial(subarray(pebs, 0, m))) ∧ (err = ESUCCESS ∨ ⌊err⌋ )) ∧ n - m < n - m1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 24:
# pebs0 = # pebs, m1 < # pebs, mtd-cons(pebs), mtd-cons(pebs0), ubi-io-initial(subarray(pebs, 0, m1)) ⊦ ⟪mtd_asm_isbad#(m1, pebs; ; isbad, err); m := m1; if err = ESUCCESS ∧ ¬ isbad then let aehdr = ?, bitflips = ? in {ubi_io_read_echdr#(m, EB_PAGE_SIZE, pebs; aehdr; bitflips, err); let n = (err = ESUCCESS ∧ aehdr.valid? ⊃ aehdr.ec + 1;0) in {mtd_asm_erase#(m; pebs; err); if err = ESUCCESS then ubi_io_write_echdr#(m, aechdr(n), EB_PAGE_SIZE; pebs; err)}}; m := m + 1⟫ ( m ≤ # pebs0 ∧ # pebs0 = # pebs ∧ mtd-cons(pebs) ∧ (err = ESUCCESS → ubi-io-initial(subarray(pebs, 0, m))) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ # pebs0 < (# pebs0 - m1) + m)

Rule argument

Additional information

Used simplifier rules: n0 ≤ n ⊦ n - n0 < m ↔ n < m + n0; (s)% ⊦ m ≤ n → (n < m ↔ false); (s)% ⊦ m < n → n ≠ 0; (s)%fle: ⊦ m < n ∧ n ≤ n0 → m < n0; (forward) from specification nat%lf-02: ⊦ m < n ∧ m = n0 → n0 < n; (forward) from specification nat-basic%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ m ≤ n ↔ ¬ n < m; (ss)% ⊦ m < n → m ≤ n; (s)