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Proof step 3 from proof mod-le-num (previous step)

j < i % j, j0 < i % j, j < j0, 0 < j, 0 < j0, 1 < j0, j + 1 < i % j, 1 < i % j, 0 < i % j, 2 < i % j ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: int-div inst: name: mod-nls-01 seq: ⊦ j ≤ i0 ∧ 0 < j → ¬ i0 < i % j subst: [j, i, i0] → [j, i, j0] flags: rewrite, current

Additional information

Used simplifier rules: lels-01: ⊦ ¬ i ≤ j ↔ j < i; from specification int-abs%ls-01: ⊦ i < j → ¬ j < i; from specification int-basic1 Used terms: j, i, j0