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Proof step 9 from proof div-nearer-zero (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 10:
⊦ 0 ≤ i ∧ 0 < j → ¬ i < i / j * j

Rule argument

spec: <toplevel> name: ls-same-pos-02 seq: ⊦ 0 ≤ i ∧ 0 < j → ¬ i < i / j * j subst: [j, i] → [j, i] flags: <all paths>

Additional information

Used simplifier rules: ⊦ i ≤ 0 ∧ 0 ≤ j → i ≤ j; (s) Used terms: j, i