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Proof step 6 from proof mod-ls-same (previous step)

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

User applied rule insert lemma

And obtained the following new goals

Proof step 7:
⊦ 0 ≤ i ∧ 0 < j → i < (i / j + 1) * j

Rule argument

spec: <toplevel> name: ls-same-pos-01 seq: ⊦ 0 ≤ i ∧ 0 < j → i < (i / j + 1) * j subst: [i, j] → [i, j]

Additional information

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