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Proof step 23 from proof mod-mult-law (previous step)

0 < j, i = i |%| j + j * j0, i0 = i0 |%| j + j * j1, 0 < j ⊦ (i * i0) |%| j = (i * i0 + (~ j1 * i) * j) |%| j, j = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: int-mod inst: name: mod-mult-add seq: ⊦ 0 < j → (i + i0 * j) |%| j = i |%| j subst: [j, i0, i] → [j, ~ j1 * i, i * i0] flags: rewrite, current

Additional information

Used terms: j, ~ j1 * i, i * i0