Description: Closure of the sine function. (Contributed by NM, 28-Apr-2005) (Revised by Mario Carneiro, 30-Apr-2014)
Ref | Expression | ||
---|---|---|---|
Assertion | sincl | $${\u22a2}{A}\in \u2102\to \mathrm{sin}{A}\in \u2102$$ |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sinf | $${\u22a2}\mathrm{sin}:\u2102\u27f6\u2102$$ | |
2 | 1 | ffvelrni | $${\u22a2}{A}\in \u2102\to \mathrm{sin}{A}\in \u2102$$ |