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Proof step 32 from proof two-even (previous step)

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

User applied rule cut formula

And obtained the following new goals

Proof step 33:
(j1 + j2) % 2 = 0, 2 * i = j1 ^2 + j2 ^2 ⊦ (j1 - j2) % 2 = 0, i = ((j1 - j2) / 2)^2 + ((j1 + j2) / 2)^2
Proof step 41:
2 * i = j1 ^2 + j2 ^2 ⊦ (j1 + j2) % 2 = 0, (j1 - j2) % 2 = 0, i = ((j1 - j2) / 2)^2 + ((j1 + j2) / 2)^2

Rule argument

fma: (j1 + j2) % 2 = 0

Additional information

Used formulas: (j1 + j2) % 2 = 0