Is this proposition regarding equipotence true, without the needing axiom of choice?
13779
Canonical copies of sets
5313
Existence of how many sets is asserted by the axiom of choice in this case?
65371
Does $2^X \cong 2^Y$ imply $X \cong Y$ without assuming the axiom of choice?
153634
A statment about the equivalence between the Axiom of Choice and the surjectivity of the projections.
17624
Axiom of Choice iff Every set has a choice function
66134
Sufficiently many idempotents and commutativity
34674
Does the proof of Bolzano-Weierstrass theorem require axiom of choice?
78290
Countable axiom of choice: why you can't prove it from just ZF
31509
Is axiom of choice necessary for proving that every infinite set has a countably infinite subset?
12539
Set Theory: Equivalency of Axiom of Choice and Choice Function
45623
Axiom of Choice: What exactly is a choice, and when and why is it needed?
142219
Does the splitting lemma hold without the axiom of choice?
14496
Is there any example of a non-measurable set whose proof of existence doesn't appeal to the Axiom of choice?
6166
Is the following statement provable?
153935
A weaker Axiom of Infinity?
69337
Zorn's Lemma And Axiom of Choice
12449
How to formulate continuum hypothesis without the axiom of choice?