Definition df-rq 9739

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 9942, 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

Step	Hyp	Ref	Expression
1		crq 9679	. 2 class *Q
2		cmq 9678	. . . 4 class .Q
3	2	ccnv 5113	. . 3 class `' .Q
4		c1q 9675	. . . 4 class 1Q
5	4	csn 4177	. . 3 class { 1Q }
6	3, 5	cima 5117	. 2 class ( `' .Q " { 1Q } )
7	1, 6	wceq 1483	1 wff *Q = ( `' .Q " { 1Q } )

This definition is referenced by:  recmulnq  9786  dmrecnq  9790