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

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 11:
⊦ (i + j)^2 = i ^2 + 2 * i * j + j ^2
Proof step 12:
2 * i = ((j0 * 2)^2 + 2 * (j0 * 2) * j2 + j2 ^2) + j2 ^2, 2 * j2 + j0 * 2 = j * 2 ⊦ i = j0 ^2 + j ^2

Rule argument

spec: inst: name: two-plus seq: ⊦ (i + j)^2 = i ^2 + 2 * i * j + j ^2 subst: [j, i] → [j2, j0 * 2] flags: rewrite, current

Additional information

Used terms: j2, j0 * 2