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Proof step 26 from proof bib-pos-low (previous step)

lastn(8, int2bits(i)) = false ' + bits, i % 256 ≤ 127, 0 ≤ i, 127 < i, i % 256 < i, 0 < i, 8 ≤ # int2bits(i) ⊦ b2i(i2b(i % 256)) = i % 256

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 27:
~128 ≤ i, i ≤ 127 ⊦ b2i(i2b((* i))) = i

Rule argument

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

Additional information

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