Sorry, I'm new: does the cathedral cancel out the colosseum?

[omg1]

If you have both of them in a city, are 7 unhappy people made content, or just 4 since maybe the colosseum stops working when cathedral is built?

 

[Gundus]

That would be seven, they don't cancel each other out.

 

[Whelkman]

...plus an additional 2 for Temples for a total of nine converted unhappy citizens. An additional two conversions, for a total of 11, are possible on a contiguous land form with the construction of J.S. Bach's Cathedral.

 

[omg1]

thanx very much