Definition df-1nqqs 6813

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 6743	. 2 class 1Q
2		c1o 6106	. . . 4 class 1𝑜
3	2, 2	cop 3425	. . 3 class ⟨1𝑜, 1𝑜⟩
4		ceq 6741	. . 3 class ~Q
5	3, 4	cec 6220	. 2 class [⟨1𝑜, 1𝑜⟩] ~Q
6	1, 5	wceq 1285	1 wff 1Q = [⟨1𝑜, 1𝑜⟩] ~Q

This definition is referenced by:  1nq  6828  1qec  6850  mulidnq  6851  1lt2nq  6868  addpinq1  6926  caucvgprlemm  7130  caucvgprprlemmu  7157  caucvgsr  7250  pitonnlem1  7285  nntopi  7332