Description: Closure of the sine function. (Contributed by Mario Carneiro, 29-May-2016)
Ref | Expression | ||
---|---|---|---|
Hypothesis | sincld.1 | |- ( ph -> A e. CC ) |
|
Assertion | sincld | |- ( ph -> ( sin ` A ) e. CC ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sincld.1 | |- ( ph -> A e. CC ) |
|
2 | sincl | |- ( A e. CC -> ( sin ` A ) e. CC ) |
|
3 | 1 2 | syl | |- ( ph -> ( sin ` A ) e. CC ) |