Metamath Proof Explorer


Definition df-ltnq

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

Ref Expression
Assertion df-ltnq
|- 

Detailed syntax breakdown

Step Hyp Ref Expression
0 cltq
 |-  
1 cltpq
 |-  
2 cnq
 |-  Q.
3 2 2 cxp
 |-  ( Q. X. Q. )
4 1 3 cin
 |-  ( 
5 0 4 wceq
 |-