Prove that for any natural number n the following equality holds:
$$ (1+2+ \ldots + n)^2 = 1^3 + 2^3 + \ldots + n^3 $$
I think it has something to do with induction?
I have injection $f \colon A \rightarrow B$ and I want to get bijection. Can I just resting codomain to $f(A)$? I know that every function i...
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