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Definition df-rq 8421
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 df-c 8623, and is intended to be used only by the construction. From Proposition 9-2.5 of [Gleason] p. 119, who uses an asterisk to denote this unary operation. (Contributed by NM, 6-Mar-1996.) (New usage is discouraged.)
Assertion
Ref Expression
df-rq  |-  *Q  =  ( `'  .Q  " { 1Q } )

Detailed syntax breakdown of Definition df-rq
StepHypRef Expression
1 crq 8359 . 2  class  *Q
2 cmq 8358 . . . 4  class  .Q
32ccnv 4579 . . 3  class  `'  .Q
4 c1q 8355 . . . 4  class  1Q
54csn 3544 . . 3  class  { 1Q }
63, 5cima 4583 . 2  class  ( `'  .Q  " { 1Q } )
71, 6wceq 1619 1  wff  *Q  =  ( `'  .Q  " { 1Q } )
Colors of variables: wff set class
This definition is referenced by:  recmulnq  8468  dmrecnq  8472
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