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Definition df-en 6029
Description: Define the equinumerosity relation. Definition of [Enderton] p. 129. We define to be a binary relation rather than a connective, so its arguments must be sets to be meaningful. This is acceptable because we do not consider equinumerosity for proper classes. We derive the usual definition as bren 6030. (Contributed by NM, 28-Mar-1998.)
Assertion
Ref Expression
df-en
Distinct variable group:   ,,

Detailed syntax breakdown of Definition df-en
StepHypRef Expression
1 cen 6028 . 2
2 vx . . . . . 6
32cv 1641 . . . . 5
4 vy . . . . . 6
54cv 1641 . . . . 5
6 vf . . . . . 6
76cv 1641 . . . . 5
83, 5, 7wf1o 4780 . . . 4
98, 6wex 1541 . . 3
109, 2, 4copab 4622 . 2
111, 10wceq 1642 1
Colors of variables: wff setvar class
This definition is referenced by:  bren  6030  enex  6031
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