# Proof of a unique homomorphism from an initial object

What is the proof that there is only one homomorphism from an initial object to another object?

• Oops, sorry. I completely misunderstood your question, I suppose! Aug 21 '10 at 21:03
• en.wikipedia.org/wiki/Initial_and_terminal_objects Aug 21 '10 at 23:02
• Small correction: "morphism" instead of "homomorphism" is used in the context of category theory. Oct 25 '10 at 19:08