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Proof step 2 from proof mods-ls (previous step)

i < i0, j0 < j, i0 * j + j0 ≤ i * j, 0 ≤ j0, 0 < j ⊦

User applied rule insert lemma

And obtained the following new goals

Rule argument

spec: int-mult inst: name: modlep-02 seq: j * i + j0 ≤ j * i0, abs(j0) < j ⊦ i ≤ i0 subst: [j, i, j0, i0] → [j, i0, j0, i] flags: current, []

Additional information

Used simplifier rules: commutativity: ⊦ i * j = j * i;%lels-03: ⊦ i < j → (¬ ¬ j ≤ i ↔ false); from specification int-abs%absle: ⊦ 0 ≤ i → abs(i) = i; from specification int-abs Used terms: j, i0, j0, i