List questions from proof-verification

Published on 09 Apr 2026 - 16:51

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Is this bibartite detection algorithm correct?

Published on 12 Apr 2026 - 12:00

74

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Prove that any integer $n$ whose prime factorization is $n=p_1^{a_1}p_2^{a_2}...p_k^{a_k}$ is a perfect $m$th power iff $a_i$ is a multiple of $m$.

Published on 17 Apr 2026 - 10:18

94

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$\log_{0.1}(x^4) - 4 \geq 0$ - Solution verification

Published on 15 Apr 2026 - 12:49

60

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Evaluate $\int_0^\frac{\pi}{2}f(x){\rm d}x$.

Published on 15 Apr 2026 - 21:45

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Proof clarification - If $ab = 0$ then $a = 0$ or $b =0$

Published on 16 Apr 2026 - 3:28

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Is my proof that $ \lim\limits_{x \to 2} \left(x^2 - 3x\right) = -2 $ correct?

Published on 16 Apr 2026 - 1:28

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Showing $\{f(\frac{1}{n+1})\}$ converges in $\mathbb{R}$

Published on 15 Apr 2026 - 11:18

978

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If $X$ is compact and Hausdorff, and $f:X\rightarrow Y$ is continuous, closed, and surjective, prove $Y$ is Hausdorff.

Published on 14 Apr 2026 - 21:04

312

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Proving multiplication floor functions

Published on 15 Apr 2026 - 5:38

72

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A woman planning her family considers the following schemes on the assumption that boys and girls are equally likely at each delivery

Published on 15 Apr 2026 - 19:48

341

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Explain this "contradiction" of the proof of $x > 0$ iff $x \in \mathbb{R}^{+}$

Published on 15 Apr 2026 - 14:41

145

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Integers of this form that pass the Fermat Primality test are prime, proof?

Published on 09 Apr 2026 - 5:29

101

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Closure of a set in a metric space.

Published on 14 Apr 2026 - 20:15

103

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The smallest subfield of a complete ordered field is dense in itself

Published on 14 Apr 2026 - 2:21

List Question

The homotopical proof of the fundamental theorem of algebra

Is this bibartite detection algorithm correct?

Prove that any integer $n$ whose prime factorization is $n=p_1^{a_1}p_2^{a_2}...p_k^{a_k}$ is a perfect $m$th power iff $a_i$ is a multiple of $m$.

$\log_{0.1}(x^4) - 4 \geq 0$ - Solution verification

Evaluate $\int_0^\frac{\pi}{2}f(x){\rm d}x$.

Proof clarification - If $ab = 0$ then $a = 0$ or $b =0$

Is my proof that $ \lim\limits_{x \to 2} \left(x^2 - 3x\right) = -2 $ correct?

Showing $\{f(\frac{1}{n+1})\}$ converges in $\mathbb{R}$

If $X$ is compact and Hausdorff, and $f:X\rightarrow Y$ is continuous, closed, and surjective, prove $Y$ is Hausdorff.

Proving multiplication floor functions

A woman planning her family considers the following schemes on the assumption that boys and girls are equally likely at each delivery

Explain this "contradiction" of the proof of $x > 0$ iff $x \in \mathbb{R}^{+}$

Integers of this form that pass the Fermat Primality test are prime, proof?

Closure of a set in a metric space.

The smallest subfield of a complete ordered field is dense in itself

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