# Question: let xz yz and y not equal 0 x is...

###### Question details

Let x∈Z, y∈Z, and y not equal 0. x is divisible by y if and only if x=ky for some k∈Z.The phrase “x is divisible by y” means the same as the phrase “y divides x”, and we use the shorthand notation, y|x to mean “y divides x”. Now using this definition, prove the following statement: If n∈ Z and 4|n then n is even.