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Proof step 47 from proof two-even (previous step)

2 * i = ((2 * i1 + 1) + j2)^2 + j2 ^2, 2 * j2 + 2 * i1 = 2 * i0 ⊦ i = ((2 * i1 + 1) / 2)^2 + ((2 * j2 + 2 * i1 + 1) / 2)^2

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 48:
⊦ i * j + i * j0 = i * (j + j0)
Proof step 49:
2 * i = ((2 * i1 + 1) + j2)^2 + j2 ^2, 2 * (j2 + i1) = 2 * i0 ⊦ i = ((2 * i1 + 1) / 2)^2 + ((2 * j2 + 2 * i1 + 1) / 2)^2

Rule argument

spec: int-mult inst: name: dist-rmerge seq: ⊦ i * j + i * j0 = i * (j + j0) subst: [j0, j, i] → [i1, j2, 2] flags: rewrite

Additional information

Used terms: i1, j2, 2