Definition df-ltnq 10605

Description: Define ordering relation on positive fractions. This is a "temporary" set used in the construction of complex numbers df-c 10808, 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 ∩ (Q × Q))

Detailed syntax breakdown of Definition df-ltnq

Step	Hyp	Ref	Expression
1		cltq 10545	. 2 class <Q
2		cltpq 10537	. . 3 class <pQ
3		cnq 10539	. . . 4 class Q
4	3, 3	cxp 5578	. . 3 class (Q × Q)
5	2, 4	cin 3882	. 2 class ( <pQ ∩ (Q × Q))
6	1, 5	wceq 1539	1 wff <Q = ( <pQ ∩ (Q × Q))

This definition is referenced by:  ltrelnq  10613  ordpinq  10630