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Proof step 5 from proof mod-ls-same (previous step)

0 < j, 0 ≤ i, j * (i / j + 1) ≤ i, i / j * j < i ⊦ j = 0

User applied rule insert lemma

And obtained the following new goals

Rule argument

spec: int-div inst: name: ls-same-pos-01 seq: ⊦ 0 ≤ i ∧ 0 < j → i < (i / j + 1) * j subst: [i, j] → [i, j] flags: current, []

Additional information

Used simplifier rules: commutativity: ⊦ i * j = j * i; from specification int-mult%lels-04: ⊦ i ≤ j → (¬ ¬ j < i ↔ false); from specification int-abs Used terms: i, j