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Proof step 16 from proof mod-add-law (previous step)

i - j * j0 = i |%| j, i0 - j * j1 = i0 |%| j, 0 < j ⊦ (i + i0) |%| j = ((i + i0) + (~ j0 - j1) * 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, ~ j0 - j1, i + i0] flags: rewrite, current

Additional information

Used terms: j, ~ j0 - j1, i + i0