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Proof step 2 from proof ubyte-mod (previous step)

256 ≤ i % ub2i(by), 0 < i % ub2i(by), 0 ≤ i % ub2i(by) ⊦ ub2i(by) = 0

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] → [ub2i(by), i, 256] rotate: F spec: int-div inst: name: mod-nle-01

Additional information

Used simplifier rules: ubyte-zero: ⊦ ub2i(by) ≤ 0 ↔ ub2i(by) = 0;%ubyte-max-02: ⊦ ¬ 256 < ub2i(by);% ⊦ ¬ i < j ↔ j ≤ i;% ⊦ ¬ i ≤ j ↔ j < i;% ⊦ i < 0 ∧ j ≠ 0 → ¬ 0 < i % j; Used terms: ub2i(by), i, 256