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Definition df-en 7270
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 7278. (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 7266 . 2
2 vx . . . . . 6
32cv 1686 . . . . 5
4 vy . . . . . 6
54cv 1686 . . . . 5
6 vf . . . . . 6
76cv 1686 . . . . 5
83, 5, 7wf1o 5389 . . . 4
98, 6wex 1581 . . 3
109, 2, 4copab 4324 . 2
111, 10wceq 1687 1
Colors of variables: wff setvar class
This definition is referenced by:  relen  7274  bren  7278  enssdom  7293
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