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Proof step 10 from proof div-le-modnotzero (previous step)

i0 * j < i1 * j + j0, j0 < j, 1 < j, 0 < j, 0 ≤ i1, 0 ≤ i1 * j + j0, 0 < j0 ⊦ i0 ≤ i1, j0 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs%lels-01: ⊦ ¬ i ≤ j ↔ j < i; from specification int-abs