# Proving the graph of an inverse function

1. Oct 23, 2011

### The1TL

1. The problem statement, all variables and given/known data
Let f:A→B be a bijection and let f-1 :B→Aitsinverse. If Γ ⊂ A×B is the graph of f, show that the set, Γ′ ⊂ B×A defined as Γ′ = {(b, a)|(a, b) ∈ Γ} is the graph of f−1.

2. Relevant equations

3. The attempt at a solution
So far i have proved that the second projection of gamma must be a bijection. I know that i need to somehow show that the first projection of gamma prime is a bijection, but im not sure how to do that.