A function f : A → B is called constant if there exists b ∈ B such that for all x ∈ A, f(x) = b. Let f : A → B, and suppose that A is nonempty.
Prove that f is constant if and only if for all g : A → A, f ◦ g = f.
Please feel free to ask for any query and rate positively.
Get Answers For Free
Most questions answered within 1 hours.