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Proof step 88 from proof Lagrange-SumOf4Squares-primes (previous step)

⊦ (j0 * i8)^2 + (j0 * i9)^2 = j0 ^2 * i8 ^2 + j0 ^2 * i9 ^2

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 89:
⊦ (i * j)^2 = i ^2 * j ^2
Proof step 90:
⊦ j0 ^2 * i8 ^2 + (j0 * i9)^2 = j0 ^2 * i8 ^2 + j0 ^2 * i9 ^2

Rule argument

spec: int-square inst: name: two-mult seq: ⊦ (i * j)^2 = i ^2 * j ^2 subst: [j, i] → [i8, j0] flags: rewrite

Additional information

Used terms: i8, j0