Theorem 1nq

Description: The positive fraction 'one'. (Contributed by NM, 29-Oct-1995) (Revised by Mario Carneiro, 28-Apr-2013) (New usage is discouraged.)

	Ref	Expression
Assertion	1nq	⊢ 1Q ∈ Q

Proof

Step	Hyp	Ref	Expression
1		df-1nq	⊢ 1Q = ⟨ 1o , 1o ⟩
2		1pi	⊢ 1o ∈ N
3		pinq	⊢ ( 1o ∈ N → ⟨ 1o , 1o ⟩ ∈ Q )
4	2 3	ax-mp	⊢ ⟨ 1o , 1o ⟩ ∈ Q
5	1 4	eqeltri	⊢ 1Q ∈ Q