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Proof step 6 from proof gcdex (previous step)

∃ m0, n0. n * m0 + gcd(n, m) = m * n0 ∨ m * n0 + gcd(n, m) = n * m0, m < n ⊦ n = 0, ∃ m0, n0. m * m0 + gcd(m, n) = n * n0 ∨ n * n0 + gcd(m, n) = m * m0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
m < n, n * m0 + gcd(n, m) = m * n0 ∨ m * n0 + gcd(n, m) = n * m0 ⊦ n = 0, ∃ m0, n0. m * m0 + gcd(m, n) = n * n0 ∨ n * n0 + gcd(m, n) = m * m0

Proof step 6 from proof gcdex (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information