Let

A,B

, and

C

be sets, let

f

be a bijection from

A

to

B

, and let

g

be a bijection from\

B

to

C

. Prove that

g@f

is a bijection from

A

to

C

.

Let A,B, and C be sets, let f be a bijection from A to B, and let g be a bijection from B to C. Prove that gf is a bijection from A to C