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Proof step 5 from proof byte-unsigned (previous step)

~128 ≤ i - 256 ∧ i - 256 ≤ 127, 0 ≤ i, 0 < i, i < 256, 128 ≤ i ⊦ b2i(i2b(i)) = i - 256, i2b(i) = i2b(i - 256)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ 127 < i ∧ i < 256 → b2i(i2b(i)) = i - 256

Rule argument

name: bib-upper rotate: F subst: [i] → [i]

Additional information

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