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Are odd natural numbers an inductive set?
The definition of inductive set my textbook gave is:
A set $T$ that is a subset of the integers is an inductive set
provided that for each integer $k$, if $k$ is an element in the set
$T$, then $k+1$ ...
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1
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Countability of a nonincreasing set
I have a function $f \in \mathbb{N}$ that is nonincreasing for $x,y \in \mathbb{N}$.
Now I have to prove that the set $$A:=\{f \in \mathbb{N}^{\mathbb{N}} | f\ \text{ is nonincreasing} \}$$ is ...
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