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Proof step 25 from proof bib-ls-same-01 (previous step)

0 < i % 256, 0 ≤ i, 127 < i % 256, 256 ≤ i, 256 + i ≤ i % 256, 0 < i ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ 0 < j ∧ 0 ≤ i ∧ j ≤ i0 → ¬ i0 ≤ i % j subst: [j, i, i0] → [256, i, 256 + i] rotate: F spec: int-div inst: name: mod-nle-01

Additional information

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