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Proof step 37 from proof two-even (previous step)

j1 = j * 2 - j2, 2 * i = j1 ^2 + j2 ^2, j1 + j2 = j * 2 ⊦ (j1 - j2) % 2 = 0, i = ((j1 - j2) / 2)^2 + j ^2

User applied rule insert equation

And obtained the following new goals

Proof step 38:
2 * i = (j * 2 - j2)^2 + j2 ^2, (j * 2 - j2) + j2 = j * 2 ⊦ (j * 2 - j2 - j2) % 2 = 0, i = ((j * 2 - j2 - j2) / 2)^2 + j ^2

Rule argument

pos: left 1 flags: discard

Additional information