Hate crimes?

So if I hate hate-crime
then the inverse must be true:
I love crime

But I both hate hate-crime AND hate crime
Do I have to choose one or the other to be consistent?

SKRossi clears hate crime

Peanuts

Let Q(x) be the statement "I love {x}"

Define inv(Q(x) to be the statement "I hate {x}".
"I hate hate-crime" is then equivalent to inv(Q("hate-crime")).

However, this does not imply Q(inv("hate-crime")) because Q and inv do not commute:

Let x be humans.
The statement inv(Q(x)) is then "I hate humans".
However, Q(inv(x)) is then "I like non-humans".
Clearly these statements are not equivalent, because I don't want to fuck aliens

Therefore hating hate-crime does not mean that one loves crime.

PBMC (proven by my cock)