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Definition df-en 7537
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 7545. (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 7533 . 2
2 vx . . . . . 6
32cv 1394 . . . . 5
4 vy . . . . . 6
54cv 1394 . . . . 5
6 vf . . . . . 6
76cv 1394 . . . . 5
83, 5, 7wf1o 5592 . . . 4
98, 6wex 1612 . . 3
109, 2, 4copab 4509 . 2
111, 10wceq 1395 1
Colors of variables: wff setvar class
This definition is referenced by:  relen  7541  bren  7545  enssdom  7560
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