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Proof step 10 from proof root-is-irrational (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
gcd(i, j0) = 1, i * i = j * j0 * j0, 0 < j0 ⊦ j0 = 0, ∃ i. j = i * i

Rule argument

Additional information

Used simplifier rules: ⊦ 0 < i → (0 < i * j ↔ 0 < j);% ⊦ i * j = j * i;% ⊦ i * j * j0 = (i * j) * j0;% ⊦ 1 * i = i;