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Proof step 10 from proof two-minus (previous step)

⊦ j * j + i * i = (i - j) * (i - j) + 2 * i * j

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 11:
⊦ (i - j) * j0 = i * j0 - j * j0
Proof step 12:
⊦ j * j + i * i = (i * (i - j) - j * (i - j)) + 2 * i * j

Rule argument

spec: int-mult inst: name: dist-sub-split seq: ⊦ (i - j) * j0 = i * j0 - j * j0 subst: [j0, j, i] → [i - j, j, i] flags: rewrite

Additional information

Used terms: i - j, j, i