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Mirrors > Home > ILE Home > Th. List > df-clim | Unicode version |
Description: Define the limit relation for complex number sequences. See clim 10120 for its relational expression. (Contributed by NM, 28-Aug-2005.) |
Ref | Expression |
---|---|
df-clim |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cli 10117 | . 2 | |
2 | vy | . . . . . 6 | |
3 | 2 | cv 1283 | . . . . 5 |
4 | cc 6979 | . . . . 5 | |
5 | 3, 4 | wcel 1433 | . . . 4 |
6 | vk | . . . . . . . . . . 11 | |
7 | 6 | cv 1283 | . . . . . . . . . 10 |
8 | vf | . . . . . . . . . . 11 | |
9 | 8 | cv 1283 | . . . . . . . . . 10 |
10 | 7, 9 | cfv 4922 | . . . . . . . . 9 |
11 | 10, 4 | wcel 1433 | . . . . . . . 8 |
12 | cmin 7279 | . . . . . . . . . . 11 | |
13 | 10, 3, 12 | co 5532 | . . . . . . . . . 10 |
14 | cabs 9883 | . . . . . . . . . 10 | |
15 | 13, 14 | cfv 4922 | . . . . . . . . 9 |
16 | vx | . . . . . . . . . 10 | |
17 | 16 | cv 1283 | . . . . . . . . 9 |
18 | clt 7153 | . . . . . . . . 9 | |
19 | 15, 17, 18 | wbr 3785 | . . . . . . . 8 |
20 | 11, 19 | wa 102 | . . . . . . 7 |
21 | vj | . . . . . . . . 9 | |
22 | 21 | cv 1283 | . . . . . . . 8 |
23 | cuz 8619 | . . . . . . . 8 | |
24 | 22, 23 | cfv 4922 | . . . . . . 7 |
25 | 20, 6, 24 | wral 2348 | . . . . . 6 |
26 | cz 8351 | . . . . . 6 | |
27 | 25, 21, 26 | wrex 2349 | . . . . 5 |
28 | crp 8734 | . . . . 5 | |
29 | 27, 16, 28 | wral 2348 | . . . 4 |
30 | 5, 29 | wa 102 | . . 3 |
31 | 30, 8, 2 | copab 3838 | . 2 |
32 | 1, 31 | wceq 1284 | 1 |
Colors of variables: wff set class |
This definition is referenced by: climrel 10119 clim 10120 |
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