MATH 1P66 Lecture Notes - Lecture 6: Counterexample
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Xp(x) = x p(x) demorgan"s law for quantifiers: domain = r, x(-20 v x<0) F(x): x has a ferret domain = {students in class: a student in your class has a cat, a dog, and a ferret. X[c(x)^d(x)^f(x): some student in your class has a cat and a ferret but not a dog. X[(c(x)^f(x)^ d(x): for each of the three animals, cats, dogs, and ferrets, there is a student in your class who has this animal as their pet. Xc(x)^ xf(x)^ xd(x) no he same as x[c(x)^f(x)^d(x)] says one student has all. Commutative law for addition of real numbers x+y=y+x whenever x,y are real numbers. For every x, there exists y, that x+y = z . Given any x you can choose y to be 0. Given any x you can choose y to be negative of x.