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Proof step 7 from proof pot-sub-dist (previous step)

0 ≤ j0, 0 ≤ i0 + j0, 0 ≤ i0 ⊦ i ^ i0 = (i ^ i0 * i ^ j0) / i ^ j0, i = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
j ≠ 0 ⊦ (i * j) / j = i
Proof step 9:
¬ i ^ j0 ≠ 0, 0 ≤ j0, 0 ≤ i0 + j0, 0 ≤ i0 ⊦ i ^ i0 = (i ^ i0 * i ^ j0) / i ^ j0, i = 0

Rule argument

spec: int-div inst: name: div-mult-03 seq: j ≠ 0 ⊦ (i * j) / j = i subst: [j, i] → [i ^ j0, i ^ i0] flags: rewrite

Additional information

Used terms: i ^ j0, i ^ i0