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Proof step 77 from proof int2bytes-len-neg-01 (previous step)

j + 2 ^ (8 * (i + 1) - 1) < 0, j < 0, n < 8, 8 * (i + 1) < n→i(m) * 8 + n→i(n), 0 ≤ 2 ^ (n→i(m) * 8 + n→i(n) - 1) + j, j + 2 ^ (n→i(m) * 8 + n→i(n) - 2) < 0, 0 ≤ i, i < n→i(m), 0 ≤ n→i(m) * 8 + n→i(n), 0 < n→i(m) * 8 + n→i(n), 2 ≤ n→i(m) * 8 + n→i(n), m * 8 + n ≤ 9 + 8 * i→n(i), m ≤ i→n(i) ⊦ j + 2 ^ (8 * (i + 1)) = 0, m * 8 + n = 0, m = 0, n = 0, m = 1 + i→n(i)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 78:
0 ≤ i ⊦ (* m) ≤ i→n(i) ↔ n→i(m) ≤ i

Rule argument

seq: 0 ≤ i ⊦ (* m) ≤ i→n(i) ↔ n→i(m) ≤ i subst: [i, m] → [i, m] rotate: F spec: intnat inst: name: num-i2n-le-02

Additional information

Used simplifier rules: ⊦ i + j = j + i;% ⊦ i * j = j * i;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i ≤ j → (¬ ¬ j < i ↔ false); Used terms: i, m