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Proof step 11 from proof pot-mod-add-zero (previous step)

i + i0 * j ^ i1 * j = j0 * j, 0 ≤ i1, 0 < j ⊦ i % j = 0, j = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 12:
⊦ i + j = i0 ↔ i = i0 - j
Proof step 13:
i = j0 * j - i0 * j ^ i1 * j, 0 ≤ i1, 0 < j ⊦ i % j = 0, j = 0

Rule argument

spec: int-abs inst: name: add-shift seq: ⊦ i + j = i0 ↔ i = i0 - j subst: [i0, j, i] → [j0 * j, i0 * j ^ i1 * j, i] flags: rewrite

Additional information

Used terms: j0 * j, i0 * j ^ i1 * j, i