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Proof step 11 from proof int2bytes-rec-pos-04 (previous step)

i % 256 < 128, 256 ≤ i, 0 < i, 0 ≤ i ⊦ int2bytes(i % 256) = fix(2, int2bytes(i % 256)).rest

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 12:
0 ≤ i, i ≤ 127 ⊦ int2bytes(i) = i2b(i) '
Proof step 13:
0 ≤ i % 256 ∧ i % 256 ≤ 127, i % 256 < 128, 256 ≤ i, 0 < i, 0 ≤ i ⊦ i2b(i % 256) ' = fix(2, i2b(i % 256) ').rest

Rule argument

name: int2bytes-le127 rotate: F subst: [i] → [i % 256]

Additional information

Used simplifier rules: ⊦ 0 < j ∧ 0 ≤ i → 0 ≤ i % j;% ⊦ ¬ i ≤ j ↔ j < i;%i + 1 = i0 ⊦ j < (* i0) → ¬ (* i) < j; Used terms: i % 256