Definition df-ltnq 9740

Description: Define ordering relation on positive fractions. This is a "temporary" set used in the construction of complex numbers df-c 9942, and is intended to be used only by the construction. Similar to Definition 5 of [Suppes] p. 162. (Contributed by NM, 13-Feb-1996.) (New usage is discouraged.)

Assertion

Ref	Expression
df-ltnq	|- <Q = ( <pQ i^i ( Q. X. Q. ) )

Detailed syntax breakdown of Definition df-ltnq

Step	Hyp	Ref	Expression
1		cltq 9680	. 2 class <Q
2		cltpq 9672	. . 3 class <pQ
3		cnq 9674	. . . 4 class Q.
4	3, 3	cxp 5112	. . 3 class ( Q. X. Q. )
5	2, 4	cin 3573	. 2 class ( <pQ i^i ( Q. X. Q. ) )
6	1, 5	wceq 1483	1 wff <Q = ( <pQ i^i ( Q. X. Q. ) )

This definition is referenced by:  ltrelnq  9748  ordpinq  9765