SQL/Sybase: SELECT ... GROUP BY ... NOT HAVING?

col1   col2
A      bear
A      dog
A      cat
B      bear
B      dog
B      cat
C      dog
C      cat
D      bear
D      dog
D      cat
E      bear
E      dog
E      cat
F      dog
F      cat

if I wanted to select all of the col1 values that have at least one row where col2 = 'bear', I can do:

SELECT col1 
FROM mytable 
WHERE col1 IN ('A','B','C') 
GROUP BY col1 
HAVING col2 = 'bear'

which would return A and B

but I want to select only the values from col1 where there isn't a row where col2 = 'bear'

I'm thinking NOT HAVING, but that doesn't appear to work.

any ideas? thanks!