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Definition df-ltnq 8558
Description: Define ordering relation on positive fractions. This is a "temporary" set used in the construction of complex numbers df-c 8759, 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
StepHypRef Expression
1 cltq 8496 . 2  class  <Q
2 cltpq 8488 . . 3  class  <pQ
3 cnq 8490 . . . 4  class  Q.
43, 3cxp 4703 . . 3  class  ( Q. 
X.  Q. )
52, 4cin 3164 . 2  class  (  <pQ  i^i  ( Q.  X.  Q. ) )
61, 5wceq 1632 1  wff  <Q  =  (  <pQ  i^i  ( Q.  X.  Q. ) )
Colors of variables: wff set class
This definition is referenced by:  ltrelnq  8566  ordpinq  8583
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