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Mirrors > Home > ILE Home > Th. List > df-en | Unicode version |
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 6641. (Contributed by NM, 28-Mar-1998.) |
Ref | Expression |
---|---|
df-en |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cen 6632 | . 2 | |
2 | vx | . . . . . 6 | |
3 | 2 | cv 1330 | . . . . 5 |
4 | vy | . . . . . 6 | |
5 | 4 | cv 1330 | . . . . 5 |
6 | vf | . . . . . 6 | |
7 | 6 | cv 1330 | . . . . 5 |
8 | 3, 5, 7 | wf1o 5122 | . . . 4 |
9 | 8, 6 | wex 1468 | . . 3 |
10 | 9, 2, 4 | copab 3988 | . 2 |
11 | 1, 10 | wceq 1331 | 1 |
Colors of variables: wff set class |
This definition is referenced by: relen 6638 bren 6641 enssdom 6656 |
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