Definition df-1nqqs 7549

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 7479	. 2 class 1Q
2		c1o 6561	. . . 4 class 1o
3	2, 2	cop 3669	. . 3 class ⟨1o, 1o⟩
4		ceq 7477	. . 3 class ~Q
5	3, 4	cec 6686	. 2 class [⟨1o, 1o⟩] ~Q
6	1, 5	wceq 1395	1 wff 1Q = [⟨1o, 1o⟩] ~Q

This definition is referenced by:  1nq  7564  1qec  7586  mulidnq  7587  1lt2nq  7604  addpinq1  7662  caucvgprlemm  7866  caucvgprprlemmu  7893  caucvgsr  8000  pitonnlem1  8043  nntopi  8092