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Proof step 101 from proof rightshift-8-01 (previous step)

i→n(j) < # int2bytes(i), 0 ≤ i, i ≤ 127, ∀ i, j0. i→n(j0) < i→n(j) → i→n(j0) < # int2bytes(i) → i >> 8 * abs(j0) = bytes2int(firstn(# int2bytes(i) - i→n(j0), int2bytes(i))) ⊦ i / 256 >> 8 * (abs(j) - 1) = bytes2int(firstn(# int2bytes(i) - i→n(j), int2bytes(i))), j = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 102:
0 ≤ i, i ≤ 127 ⊦ int2bytes(i) = i2b(i) '

Rule argument

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

Additional information

Used simplifier rules: j0 ≠ 0, j ≤ j0 ⊦ i ≤ (* j) → i ≤ (* j0);% ⊦ i ≤ j → (¬ ¬ j < i ↔ false);% ⊦ ¬ i ≤ j ↔ j < i;% ⊦ # by ' = 0 +1;% ⊦ m < 1 ↔ m = 0;% ⊦ i→n(i) = 0 ↔ i = 0; Used terms: i