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Definition df-ltnq 9778
Description: Define ordering relation on positive fractions. This is a "temporary" set used in the construction of complex numbers df-c 9980, 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
StepHypRef Expression
1 cltq 9718 . 2 class <Q
2 cltpq 9710 . . 3 class <pQ
3 cnq 9712 . . . 4 class Q
43, 3cxp 5141 . . 3 class (Q × Q)
52, 4cin 3606 . 2 class ( <pQ ∩ (Q × Q))
61, 5wceq 1523 1 wff <Q = ( <pQ ∩ (Q × Q))
Colors of variables: wff setvar class
This definition is referenced by:  ltrelnq  9786  ordpinq  9803
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