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Proof step 3 from proof div (previous step)

i % j = 0 ⊦ (i / j)^2 = i ^2 / j ^2, j = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
j ≠ 0 ⊦ i % j = 0 ↔ (∃ j0. i = j0 * j)
Proof step 5:
∃ j0. i = j0 * j ⊦ (i / j)^2 = i ^2 / j ^2, j = 0

Rule argument

spec: int-div name: modex seq: j ≠ 0 ⊦ i % j = 0 ↔ (∃ j0. i = j0 * j) subst: [j, i] → [j, i] flags: <all paths>

Additional information

Used terms: j, i