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Proof step 7 from proof root-is-irrational (previous step)

j0 ≠ 0 ∧ j0 ≠ 0, gcd(i, j0) = 1, rational(i * i, j0 * j0) = rational(j, 1), 0 < j0 ⊦ ∃ i. j = i * i

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information