Description: Closure of the divisor function. (Contributed by Mario Carneiro, 22-Sep-2014)
Ref | Expression | ||
---|---|---|---|
Assertion | sgmcl | |- ( ( A e. CC /\ B e. NN ) -> ( A sigma B ) e. CC ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sgmf | |- sigma : ( CC X. NN ) --> CC |
|
2 | 1 | fovcl | |- ( ( A e. CC /\ B e. NN ) -> ( A sigma B ) e. CC ) |