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Proof step 2 from proof square-eq-01 (previous step)

i * i + i = j * j + j, 0 ≤ i, 0 ≤ j ⊦ i = j

User applied rule cut formula

And obtained the following new goals

Proof step 3:
i < j, i * i + i = j * j + j, 0 ≤ i, 0 ≤ j ⊦ i = j
Proof step 6:
i * i + i = j * j + j, 0 ≤ i, 0 ≤ j ⊦ i < j, i = j

Rule argument

fma: i < j

Additional information

Used formulas: i < j