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Proof step 8 from proof div-nearer-zero (previous step)

0 ≤ i, i < i / j * j, 0 < i / j, 0 < j ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ 0 ≤ i ∧ 0 < j → ¬ i < i / j * j

Rule argument

spec: inst: name: ls-same-pos-02 seq: ⊦ 0 ≤ i ∧ 0 < j → ¬ i < i / j * j subst: [j, i] → [j, i] flags: rewrite, current

Additional information

Used simplifier rules: zero-gels-04: ⊦ i ≤ 0 ∧ 0 ≤ j → i ≤ j; from specification int-abs Used terms: j, i