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Definition df-rq 7172
 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, 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 Jim Kingdon, 20-Sep-2019.)
Assertion
Ref Expression
df-rq
Distinct variable group:   ,

Detailed syntax breakdown of Definition df-rq
StepHypRef Expression
1 crq 7104 . 2
2 vx . . . . . 6
32cv 1330 . . . . 5
4 cnq 7100 . . . . 5
53, 4wcel 1480 . . . 4
6 vy . . . . . 6
76cv 1330 . . . . 5
87, 4wcel 1480 . . . 4
9 cmq 7103 . . . . . 6
103, 7, 9co 5774 . . . . 5
11 c1q 7101 . . . . 5
1210, 11wceq 1331 . . . 4
135, 8, 12w3a 962 . . 3
1413, 2, 6copab 3988 . 2
151, 14wceq 1331 1
 Colors of variables: wff set class This definition is referenced by:  recmulnqg  7211
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