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Proof step 2 from proof gcd-one (
previous step
)
⊦ gcd(i, j) = 1 ↔ ¬(∃ i0. 1 < i0 ∧ i0 | i ∧ i0 | j)
User applied rule case distinction
And obtained the following new goals
Proof step 3
:
gcd(i, j) = 1 ⊦ ¬(∃ i0. 1 < i0 ∧ i0 | i ∧ i0 | j)
Proof step 9
:
¬(∃ i0. 1 < i0 ∧ i0 | i ∧ i0 | j) ⊦ gcd(i, j) = 1
Rule argument
pos: right 1
Additional information