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Proof step 29 from proof bib-pos-high (previous step)

# int2bits(j) = 9, 0 < j, j < 256, 64 ≤ j, 127 < j ⊦ 0 = j, j = 256 + b2i(i2b(j - 256)), int2bits(j).rest.first

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 30:
~128 ≤ i, i ≤ 127 ⊦ b2i(i2b((* i))) = i

Rule argument

name: num-ibbi rotate: F subst: [i] → [j - 256]

Additional information

Used simplifier rules: ⊦ i + j = j + i;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + (j - i) = j;% ⊦ i ≤ j - i0 ↔ i + i0 ≤ j;% ⊦ ¬ i ≤ j ↔ j < i;% ⊦ i - j ≤ i0 ↔ i ≤ j + i0;% ⊦ i < j ∧ ¬ i0 < j → ¬ i0 < i;%j0 ≠ 0, j < j0 ⊦ i < (* j) → i < (* j0);% ⊦ i < j ∧ j < i0 → i +1 < i0; (forward) Used terms: j - 256