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Mirrors > Home > NFE Home > Th. List > df-can | Unicode version |
Description: Define the class of all Cantorian sets. These are so-called because Cantor's Theorem Nc c Nc holds for these sets. Definition from [Rosser] p. 347 and [Holmes] p. 134. (Contributed by Scott Fenton, 19-Apr-2021.) |
Ref | Expression |
---|---|
df-can | Can 1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ccan 6323 | . 2 Can | |
2 | vx | . . . . . 6 | |
3 | 2 | cv 1641 | . . . . 5 |
4 | 3 | cpw1 4135 | . . . 4 1 |
5 | cen 6028 | . . . 4 | |
6 | 4, 3, 5 | wbr 4639 | . . 3 1 |
7 | 6, 2 | cab 2339 | . 2 1 |
8 | 1, 7 | wceq 1642 | 1 Can 1 |
Colors of variables: wff setvar class |
This definition is referenced by: elcan 6329 |
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