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Proof step 11 from proof mult-02 (previous step)

(i1 * j0 + j1) * j + i0 = i2 * j0 * j + j2, j2 < j0 * j, 0 ≤ j1, 0 ≤ i1, j1 < j0, 0 ≤ i0, i0 < j, 0 < j0, 0 ≤ j2, 0 < j ⊦ j1 * j + i0 < j0 * j, i2 = i1

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: int-mult inst: name: mods-ls-02 seq: ⊦ i < i0 ∧ 0 ≤ j0 ∧ j0 < j → i * j + j0 < i0 * j subst: [i0, j0, j, i] → [j0, i0, j, j1] flags: rewrite

Additional information

Used simplifier rules: lels: ⊦ ¬ i < j ↔ j ≤ i; from specification int-abs%zero-gels-04: ⊦ i ≤ 0 ∧ 0 ≤ j → i ≤ j; from specification int-abs Used terms: j0, i0, j, j1