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Proof step 2 from proof int2bytes-rec255-neg (previous step)

i < ~128, i < 0 ⊦ int2bytes(i) = int2bytes((i - 255) / 256) + int2bytes(i % 256).last '

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
j < ~(2 ^ (i * 8 - 1)), 0 < i ⊦ int2bytes(j) = int2bytes((j - (2 ^ (i * 8) - 1)) / 2 ^ (i * 8)) + fix(i→n(i + 1), int2bytes(j % 2 ^ (i * 8))).rest
Proof step 4:
i < ~(2 ^ (0 +1 * 8 - 1)) ∧ 0 < 0 +1, i < ~128, i < 0 ⊦ int2bytes((i - (2 ^ (0 +1 * 8) - 1)) / 2 ^ (0 +1 * 8)) + fix(i→n(0 +1 + 1), int2bytes(i % 2 ^ (0 +1 * 8))).rest = int2bytes((i - 255) / 256) + int2bytes(i % 256).last '

Rule argument

name: int2bytes-rec-neg-06 rotate: F subst: [j, i] → [i, 0 +1]

Additional information

Used simplifier rules: ⊦ ¬ i < j ↔ j ≤ i;% ⊦ i < j → (¬ ¬ j ≤ i ↔ false); Used terms: i, 0 +1