Hey all, any help on the following proofs would be appreciated:
(i) 0 is divisible by every integer
(ii) If m is an integer not equal to 0, then m is not divisible by 0.
This is another example of a very basic principle- proofs follow from the precise words of definitions.
"m is divisible by n" means that there exist some integer, k, such that m= nk.
If m= 0, is there an integer, k, such that nk= 0?
If m is NOT 0, does there exist an integer, k, such that 0k= m?