Definition df-1nqqs 7718

Description: Define positive fraction constant 1. This is a "temporary" set used in the construction of complex numbers, and is intended to be used only by the construction. From Proposition 9-2.2 of [Gleason] p. 117. (Contributed by NM, 29-Oct-1995.)

Assertion

Ref	Expression
df-1nqqs	⊢ 1Q = [⟨1o, 1o⟩] ~Q

Detailed syntax breakdown of Definition df-1nqqs

Step	Hyp	Ref	Expression
1		c1q 7648	. 2 class 1Q
2		c1o 6680	. . . 4 class 1o
3	2, 2	cop 3712	. . 3 class ⟨1o, 1o⟩
4		ceq 7646	. . 3 class ~Q
5	3, 4	cec 6805	. 2 class [⟨1o, 1o⟩] ~Q
6	1, 5	wceq 1402	1 wff 1Q = [⟨1o, 1o⟩] ~Q

This definition is used by:  1nq  7733  1qec  7755  mulidnq  7756  1lt2nq  7773  addpinq1  7831  caucvgprlemm  8035  caucvgprprlemmu  8062  caucvgsr  8169  pitonnlem1  8212  nntopi  8261