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Proof step 5 from proof band-max-04 (previous step)

~255 ≤ (i + 1) % 256, i < 0, 0 < (i + 1) % 256 ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ i < 0 ∧ j ≠ 0 → ¬ 0 < i % j subst: [j, i] → [256, i + 1] rotate: F spec: int-div inst: name: mod-grz-01

Additional information

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