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Definition df-plq 8471
Description: Define addition on positive fractions. This is a "temporary" set used in the construction of complex numbers df-c 8676, and is intended to be used only by the construction. From Proposition 9-2.3 of [Gleason] p. 117. (Contributed by NM, 24-Aug-1995.) (New usage is discouraged.)
Assertion
Ref Expression
df-plq  |-  +Q  =  ( ( /Q  o.  +pQ  )  |`  ( Q. 
X.  Q. ) )

Detailed syntax breakdown of Definition df-plq
StepHypRef Expression
1 cplq 8410 . 2  class  +Q
2 cerq 8409 . . . 4  class  /Q
3 cplpq 8403 . . . 4  class  +pQ
42, 3ccom 4630 . . 3  class  ( /Q  o.  +pQ  )
5 cnq 8407 . . . 4  class  Q.
65, 5cxp 4624 . . 3  class  ( Q. 
X.  Q. )
74, 6cres 4628 . 2  class  ( ( /Q  o.  +pQ  )  |`  ( Q.  X.  Q. ) )
81, 7wceq 1619 1  wff  +Q  =  ( ( /Q  o.  +pQ  )  |`  ( Q. 
X.  Q. ) )
Colors of variables: wff set class
This definition is referenced by:  addpqnq  8495  addnqf  8505
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