Has anyone in Quebec every been evicted for not getting rid of their
cat (if it says on their lease that they can't have pets)? I'm not
talking about crazy ladies with 50 cats, I mean just one or two cats.
I assume that the Regie du Logement's decision usually asks the tenant
to get rid of their cat instead of outright evicting them. Is there
anything to back up my assumption?

If one is in violation of one's lease, one may not be entitled to a
"second chance".  I do not know what the law says, but one of the
great researchers should be able to dig something up.

On my lease it says no pets. 

I live in a 6 story bulding. When I was first viewing the apt., I
noticed tenants with small dogs walk by.

The Property Manager was clear in stating that pets were indeed
allowed. However, if any tenant complained then I would have to get
rid of him or move.

This is in Ontario.

Steph53

Thanks for the comments;

in my case, the landlord doesn't like me, and I pay really cheap rent.
My goal is to see how long I can let things go before either
negotiating with the landlord or moving out. I wonder if we can go all
the way to court before I have to do anything (because until that
oint, it's all up to the landlord to go through the motions of sending
me a letter, etc). I know Quebec rental law, and all the steps needed
by both sides. What I don't know is how often it happens in
"real-life" that someone gets evicted right away, instead of a simple
demand that I get rid of the cats. Thanks again for the comments!