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Mirrors > Home > MPE Home > Th. List > dfrq  Structured version Unicode version 
Description: Define reciprocal on positive fractions. It means the same thing as one divided by the argument (although we don't define full division since we will never need it). This is a "temporary" set used in the construction of complex numbers dfc 9276, and is intended to be used only by the construction. From Proposition 92.5 of [Gleason] p. 119, who uses an asterisk to denote this unary operation. (Contributed by NM, 6Mar1996.) (New usage is discouraged.) 
Ref  Expression 

dfrq 
Step  Hyp  Ref  Expression 

1  crq 9012  . 2  
2  cmq 9011  . . . 4  
3  2  ccnv 4826  . . 3 
4  c1q 9008  . . . 4  
5  4  csn 3865  . . 3 
6  3, 5  cima 4830  . 2 
7  1, 6  wceq 1362  1 
Colors of variables: wff setvar class 
This definition is referenced by: recmulnq 9121 dmrecnq 9125 
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