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If I had three sets A,B, and C. Is the cardinality of ((AxA) - (BxC)) the same as the cardinality of (AxA) - the cardinality of (BxC)?

So, I've been in a relationship with a girl for roughly a year. A while ago, this other girl had asked me to this little group get together. I've always really liked this other girl (I was infatuated and thought that it was love) and seeing her again brought back a lot of buried feelings (we've...