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Proof step 1 from proof gcdex-not-unique (conclusion)

gcd(i, j) = i * i0 + j * j0 ⊦ ∀ i1. gcd(i, j) = i * (i0 - i1 * j) + j * (j0 + i1 * i)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information