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Proof step 12 from proof bytes2int-011x-02 (previous step)

~1 = 2 ^ (8 * n→i(m)) + bytes2int(i2b(~2) ' + mklist(i2b(~1), m)) ⊦ ~256 = bytes2int(i2b(~2) ' + mklist(i2b(~1), m)) * 256 + 2 ^ (8 * n→i(m) + 8 * 1)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ 0 ≤ j ∧ 0 ≤ j0 → i ^ (j + j0) = i ^ j * i ^ j0 subst: [j0, j, i] → [8 * 1, 8 * n→i(m), 2] rotate: F spec: int-pot inst: name: pot-dist-pos

Additional information

Used simplifier rules: ⊦ i * j + i = i * (j + 1);% ⊦ i * j + i * j0 = i * (j + j0);% ⊦ i * j * j0 = (i * j) * j0;% ⊦ i * j = j * i;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + j = j + i;% ⊦ 0 < i → (0 ≤ i * j ↔ 0 ≤ j);% ⊦ 0 ≤ n→i(n); Used terms: 8 * 1, 8 * n→i(m), 2