Description: Express the predicate: The limit of complex number sequence F is A , or F converges to A . (Contributed by Glauco Siliprandi, 26-Jun-2021)
Ref | Expression | ||
---|---|---|---|
Hypotheses | climd.1 | |
|
climd.2 | |
||
climd.3 | |
||
climd.4 | |
||
climd.5 | |
||
climd.6 | |
||
climd.7 | |
||
Assertion | climd | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | climd.1 | |
|
2 | climd.2 | |
|
3 | climd.3 | |
|
4 | climd.4 | |
|
5 | climd.5 | |
|
6 | climd.6 | |
|
7 | climd.7 | |
|
8 | climrel | |
|
9 | 8 | brrelex1i | |
10 | 5 9 | syl | |
11 | 1 2 3 4 10 6 | clim2f2 | |
12 | 5 11 | mpbid | |
13 | 12 | simprd | |
14 | breq2 | |
|
15 | 14 | anbi2d | |
16 | 15 | rexralbidv | |
17 | 16 | rspcva | |
18 | 7 13 17 | syl2anc | |