2. Let H:NxN+U A be the function defined during February 24 lecture. AET (a) Show that function H is surjective. (b) Establish the existence of a surjection from N onto N N. Do so by explicitly devising a surjective mapping G:N+NxN. (c) Argue that the set-theoretic union UA identified during February 24 lecture is countable. AEJ 2. Let H:NxN+U A be the function defined during February 24 lecture. AET (a) Show that function H is surjective. (b) Establish the existence of a surjection from N onto N N. Do so by explicitly devising a surjective mapping G:N+NxN. (c) Argue that the set-theoretic union UA identified during February 24 lecture is countable. AEJ