List questions from proof-verification

Published on 13 Apr 2026 - 8:36

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Proof that $A^C\cap A = \varnothing$

Published on 15 Apr 2026 - 22:24

61

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How do I evaluate this function?

Published on 11 Apr 2026 - 9:55

150

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Let $f:\mathbb R\to \mathbb R$ be differentiable such that $f'(x)>f(x)$ for all $x\in \mathbb R$ and $f(0)=1$, then $f(1)$ lies in which interval?

Published on 01 May 2026 - 14:28

154

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Given the transfinite hierarchy of Borel sets, prove that ${\bf \Sigma}_\alpha^0 \subseteq {\bf \Sigma}_{\alpha+1}^0$ for all ordinal $\alpha < \beta$

Published on 16 Apr 2026 - 1:39

103

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Is this a valid proof of Euler's product formula for the totient function?

Published on 17 Apr 2026 - 11:00

162

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Find all the values of $\theta$ that satisfy $\cos(x \theta ) + \cos( (x+2) \theta ) = \cos( \theta )$

Published on 24 Apr 2026 - 2:27

103

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Proof that $\left(\bigcup_{i}^{}A_i\right)^{\mathsf{c}}=\bigcap_{i}^{}A_i^{\mathsf{c}}$

Published on 12 Apr 2026 - 19:20

1.4k

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Proof of $O_P(1) o_P(1) = o_P(1)$

Published on 15 Apr 2026 - 8:27

108

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Is adding k edges to spanning tree will result a graph with k cycle bases?

Published on 12 Apr 2026 - 22:29

156

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Quantifier order confusion

Published on 13 Apr 2026 - 1:20

1.1k

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Show square-integrable functions are closed over addition

Published on 11 Apr 2026 - 14:46

37

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Clarification on ε−δ proof of left-side limits

Published on 11 Apr 2026 - 3:24

700

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If a set $A$ is finite then $A\cap B$ is a finite set.

Published on 15 Apr 2026 - 23:16

42

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Evaluation of a few line integrals

Published on 16 Apr 2026 - 18:55

List Question

Why do we need the commutative axiom of multiplication?

Proof that $A^C\cap A = \varnothing$

How do I evaluate this function?

Let $f:\mathbb R\to \mathbb R$ be differentiable such that $f'(x)>f(x)$ for all $x\in \mathbb R$ and $f(0)=1$, then $f(1)$ lies in which interval?

Given the transfinite hierarchy of Borel sets, prove that ${\bf \Sigma}_\alpha^0 \subseteq {\bf \Sigma}_{\alpha+1}^0$ for all ordinal $\alpha < \beta$

Is this a valid proof of Euler's product formula for the totient function?

Find all the values of $\theta$ that satisfy $\cos(x \theta ) + \cos( (x+2) \theta ) = \cos( \theta )$

Proof that $\left(\bigcup_{i}^{}A_i\right)^{\mathsf{c}}=\bigcap_{i}^{}A_i^{\mathsf{c}}$

Proof of $O_P(1) o_P(1) = o_P(1)$

Is adding k edges to spanning tree will result a graph with k cycle bases?

Quantifier order confusion

Show square-integrable functions are closed over addition

Clarification on ε−δ proof of left-side limits

If a set $A$ is finite then $A\cap B$ is a finite set.

Evaluation of a few line integrals

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