List questions from elementary-set-theory

Published on 09 Apr 2026 - 7:16

387

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Show that any element of an ordinal is an initial segment of that ordinal

Published on 14 Apr 2026 - 18:41

856

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How to prove that this convex set is bounded?

Published on 10 Apr 2026 - 7:44

208

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Is this Theorem equivalent to Axiom of Choice?

Published on 10 Apr 2026 - 18:01

57

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Partial Order Proof (Discrete Math)

Published on 11 Apr 2026 - 21:14

294

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Prove that Axiom of Dependent Choice implies Axiom of Countable Choice

Published on 14 Apr 2026 - 17:27

1k

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Notation of an element of a tuple

Published on 14 Apr 2026 - 17:59

158

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Prove that no function $f: \mathbb{N} \to (0,1)$ is surjective.

Published on 14 Apr 2026 - 4:42

56

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Understanding this theorem and how to go about proving it surjectivity?

Published on 14 Apr 2026 - 23:43

214

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Top-down proof of a lemma used in Schröder-Bernstein theorem

Published on 13 Apr 2026 - 6:04

5.6k

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How to count number of relations of a set?

Published on 14 Apr 2026 - 1:01

98

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Bottom-up proof of a lemma used to prove Bernstein-Schröder theorem

Published on 13 Apr 2026 - 2:21

177

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Suppose that $Z \subseteq Y \subseteq X$ and that $f:X \to Z$ is bijective. Then $A$ is the minimal element of $\mathcal{F}$

Published on 16 Apr 2026 - 0:29

43

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Get rid of difference $A\setminus D$ in algebra of sets

Published on 14 Apr 2026 - 20:27

47

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Need clarification on notation for collection of subsets

Published on 13 Apr 2026 - 1:02

List Question

How do I prove that this set has only 1 element?

Show that any element of an ordinal is an initial segment of that ordinal

How to prove that this convex set is bounded?

Is this Theorem equivalent to Axiom of Choice?

Partial Order Proof (Discrete Math)

Prove that Axiom of Dependent Choice implies Axiom of Countable Choice

Notation of an element of a tuple

Prove that no function $f: \mathbb{N} \to (0,1)$ is surjective.

Understanding this theorem and how to go about proving it surjectivity?

Top-down proof of a lemma used in Schröder-Bernstein theorem

How to count number of relations of a set?

Bottom-up proof of a lemma used to prove Bernstein-Schröder theorem

Suppose that $Z \subseteq Y \subseteq X$ and that $f:X \to Z$ is bijective. Then $A$ is the minimal element of $\mathcal{F}$

Get rid of difference $A\setminus D$ in algebra of sets

Need clarification on notation for collection of subsets

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