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Mirrors > Home > NFE Home > Th. List > df-ce | Unicode version |
Description: Define cardinal exponentiation. Definition from [Rosser] p. 381. (Contributed by Scott Fenton, 24-Feb-2015.) |
Ref | Expression |
---|---|
df-ce | ↑c NC NC 1 1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cce 6096 | . 2 ↑c | |
2 | vn | . . 3 | |
3 | vm | . . 3 | |
4 | cncs 6088 | . . 3 NC | |
5 | va | . . . . . . . . . 10 | |
6 | 5 | cv 1641 | . . . . . . . . 9 |
7 | 6 | cpw1 4135 | . . . . . . . 8 1 |
8 | 2 | cv 1641 | . . . . . . . 8 |
9 | 7, 8 | wcel 1710 | . . . . . . 7 1 |
10 | vb | . . . . . . . . . 10 | |
11 | 10 | cv 1641 | . . . . . . . . 9 |
12 | 11 | cpw1 4135 | . . . . . . . 8 1 |
13 | 3 | cv 1641 | . . . . . . . 8 |
14 | 12, 13 | wcel 1710 | . . . . . . 7 1 |
15 | vg | . . . . . . . . 9 | |
16 | 15 | cv 1641 | . . . . . . . 8 |
17 | cmap 5999 | . . . . . . . . 9 | |
18 | 6, 11, 17 | co 5525 | . . . . . . . 8 |
19 | cen 6028 | . . . . . . . 8 | |
20 | 16, 18, 19 | wbr 4639 | . . . . . . 7 |
21 | 9, 14, 20 | w3a 934 | . . . . . 6 1 1 |
22 | 21, 10 | wex 1541 | . . . . 5 1 1 |
23 | 22, 5 | wex 1541 | . . . 4 1 1 |
24 | 23, 15 | cab 2339 | . . 3 1 1 |
25 | 2, 3, 4, 4, 24 | cmpt2 5653 | . 2 NC NC 1 1 |
26 | 1, 25 | wceq 1642 | 1 ↑c NC NC 1 1 |
Colors of variables: wff setvar class |
This definition is referenced by: ovce 6172 ceex 6174 fnce 6176 |
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