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Proof step 6 from proof gcdex-pos (previous step)

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

User applied rule exists right

And obtained the following new goals

Proof step 7:
∀ i1. gcd(i, j) = i * (i0 - i1 * j) + j * (j0 + i1 * i), gcd(i, j) = i * i0 + j * j0 ⊦ j = 0, gcd(i, j) = i * i0 + j * j0 ∧ 0 ≤ i0, ∃ i0, j0. gcd(i, j) = i * i0 + j * j0 ∧ 0 ≤ i0

Rule argument

pos: right 2 terms: i0, j0 abort: F discard: F computed: T

Additional information

Used terms: i0, j0