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Proof step 13 from proof gcdex-pos (previous step)

j0 = i1 + i0 * i, gcd(i, j) = i * i0 + j * j0, gcd(i, j) = i * i0 * (j + 1) + j * i1, j < 0, i0 < 0 ⊦ j = 0, ∃ i0, j0. gcd(i, j) = i * i0 + j * j0 ∧ 0 ≤ i0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 14:
gcd(i, j) = i * i0 + j * (i1 + i0 * i), gcd(i, j) = i * i0 * (j + 1) + j * i1, j < 0, i0 < 0 ⊦ j = 0, ∃ i0, j0. gcd(i, j) = i * i0 + j * j0 ∧ 0 ≤ i0

Proof step 13 from proof gcdex-pos (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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