Question

prove this

Answer 1

Let's try to prove this by contradiction:-

Let x=n and y=m;

Now, since z<=x,so z value could lie between the range 0 to n.

Since z<=y,so z value could lie between the range 0 to m

But both of the above statements contradict each other since z is same in both case.So,z would be same in each case if n is equal to m which gives us x=y.

Hence proved!