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Proof step 13 from proof modmod-pos (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: int-div inst: name: mod-zero-03 seq: 0 < j, 0 ≤ i, i < j ⊦ i % j = i subst: [j, i] → [j * j0, j2 * j + j1] flags: rewrite, current

Additional information

Used simplifier rules: add-c: ⊦ i + j = j + i; from specification int-basic2 Used terms: j * j0, j2 * j + j1