Prove or disprove if bijectivity is kept after set difference with a countable set
34138
Cardinal number subtraction
42095
Existence in ZF of a set with countable power set
32774
Finite Cartesian Product of Countable sets is countable?
90566
There exists surjections from A onto B and vice versa, and there is no bijection between the sets?
7607
How to prove that $\mathbb{Q}$ is not the intersection of a countable collection of open sets.
63276
Is an arbitrary union of a chain of countable sets countable?
136006
Prove that any countable cartesian product of countable sets is countable
27937
Cartesian Product of Two Countable Sets is Countable
128437
How to prove that a finite set is countable
60678
Does 'A countable infinite Cartesian product of countable sets is not necessarily countable' violate induction principle?
34099
Proving that the empty set is unique
123613
Double Complement of a set proof
116527
Validating a proof for necessary and sufficient conditions on sets A & B such that $P(A) \cup P(B) = P(A\cup B)$
78225
Countable additivity implies countable subadditivity?
67066
Proof there is a 1-1 correspondence between an uncountable set and itself minus a countable part of it
56233
Is the set of all strings with countably infinite length bijective to $[0,1]$?
109070
Question about the proof of the distributive property for sets