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Proof step 3 from proof gcdex-not-unique (previous step)

i0 = i2 + i1 * j, gcd(i, j) = i * i0 + j * j0 ⊦ gcd(i, j) = i * i2 + j * (j0 + i1 * i)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
gcd(i, j) = i * (i2 + i1 * j) + j * j0 ⊦ gcd(i, j) = i * i2 + j * (j0 + i1 * i)

Rule argument

Additional information