Showing cardinality of all infinite sequences of natural numbers is the same as the continuum.
20085
What's the cardinality of all sequences with coefficients in an infinite set?
101669
Cardinality of the Set of all finite subset of $\mathbb{R}$
125411
Infinite set always has a countably infinite subset
108922
Cardinality and infinite sets: naturals, integers, rationals, bijections
19777
Defining "Countably Infinite"
33157
Proof that an infinite subset of $\mathbb{N}$ is countable
44974
Infinite set and countable subsets
23608
Prove the set of all infinite binary sequences is uncountable by using Cantor's theorem.
80096
Prove that the union of countably many countable sets is countable.
48797
Proving Two Sets are Equal - Infinite Sets - Example
127233
Cardinality of order types in $\mathbb{N}$
127200
Are there fields and ordered fields of every infinite cardinality?
63489
The class of cardinal numbers is well ordered
91237
Every infinite set contains a countable subset
132537
Class of sets of a given infinite cardinality
9021
An infinite subset of a countable set is countable
67295
Please check my proof for $N$ is infinite