Description: If the support of a function is a subset of a finite set, the function is finitely supported. (Contributed by AV, 15-Jul-2019)
Ref | Expression | ||
---|---|---|---|
Assertion | suppssfifsupp | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ssfi | |
|
2 | 1 | adantl | |
3 | 3ancoma | |
|
4 | 3 | biimpi | |
5 | 4 | adantr | |
6 | funisfsupp | |
|
7 | 5 6 | syl | |
8 | 2 7 | mpbird | |