Question

In: Advanced Math

Let A be an infinite set and let B ⊆ A be a subset. Prove: (a)...

Let A be an infinite set and let B ⊆ A be a subset. Prove:

(a) Assume A has a denumerable subset, show that A is equivalent to a proper subset of A.

(b) Show that if A is denumerable and B is infinite then B is equivalent to A.

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