Question

Math Proofs

Answer 1

Suppose A is a set. Show that \[i_A\] is the only relation on A that is both an equivalence relation on A and also a function from A to A.

Answer 2

I guess this is identity? For things in A,
Reflexivity -Everything is equal to itself
Symmetry - If x equals y then y equals x
Transitivity - if x = y and y=z then x=z

That's basically your relation, maybe you can do the function

Answer 3

i don't have a clue on how to do the function.. If i can just get that, then I can do the relations.

Answer 4

I have just given you the relation proof!