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Proof step 24 from proof rightshift-8-01 (previous step)

i→n(j) < # int2bytes(i), i < 0, ~128 ≤ i, ∀ 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))) ⊦ j = 0, (i / 256 - 1) >> 8 * (abs(j) - 1) = bytes2int(firstn(# int2bytes(i) - i→n(j), int2bytes(i))), i % 256 = 0, ~256 = i

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 25:
~128 ≤ i, i < 128 ⊦ int2bytes((* i)) = i2b(i) '

Rule argument

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

Additional information

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