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Proof step 13 from proof two-even (previous step)

2 * j2 + j0 * 2 = j * 2, 2 * i = 2 * j2 ^2 + (j0 * 2)^2 + 4 * j0 * j2 ⊦ i = j0 ^2 + j ^2

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 14:
⊦ i ^2 = i * i
Proof step 15:
2 * j2 + j0 * 2 = j * 2, 2 * i = 2 * j2 ^2 + (j0 * 2) * j0 * 2 + 4 * j0 * j2 ⊦ i = j0 ^2 + j ^2

Rule argument

spec: inst: name: Square-def seq: ⊦ i ^2 = i * i subst: [i] → [j0 * 2] flags: rewrite, current

Additional information

Used terms: j0 * 2