List questions from proof-writing

Published on 10 Apr 2026 - 5:54

87

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Is this a rigorous mathematical proof that $P(A\times B)\neq P(A)\times P(B)$?

Published on 14 Apr 2026 - 18:14

397

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Showing every continuous function $f$ on $[a,b]$ is the uniform limit of a seq of polynomials $(q_{n})$, where $q_{n}(x) = x^{n}p_{n}(x)$

Published on 17 Apr 2026 - 16:29

450

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Prove $9 \mathrel| (4^n+6n-1)$ by induction

Published on 16 Apr 2026 - 13:05

120

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Is this a proof by induction question?

Published on 09 Apr 2026 - 10:31

130

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When writing a new theorem, is it acceptable to introduce some new definitions concepts?

Published on 14 Apr 2026 - 9:47

136

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Halmos's minimality condition

Published on 15 Apr 2026 - 3:32

260

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Why is the Riemann Zeta function rational at negative odd numbers (or is it?)

Published on 11 Apr 2026 - 9:17

3.7k

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A proof that $\mathbb{Z}_{p}$ is an integral domain if and only if $p$ is prime.

Published on 16 Apr 2026 - 22:27

46

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Orthogonal Complement and Subspace

Published on 17 Apr 2026 - 1:14

94

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Is the assumption (the set is not empty) really needed for my proof

Published on 11 Apr 2026 - 3:05

130

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Does $2^k+2$ generate infinitely-many numbers whose digit sums are prime?

Published on 11 Apr 2026 - 17:27

217

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Proving that almost all numbers are good.

Published on 13 Apr 2026 - 13:27

641

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Proof Verification - Archimedean Property

Published on 10 Apr 2026 - 8:44

265

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Is following function $\exp(x) + \exp(y)$ super-coercive?

Published on 13 Apr 2026 - 5:11

List Question

Is a (short and) beautiful proof for symmetric inequality must exist always?

Is this a rigorous mathematical proof that $P(A\times B)\neq P(A)\times P(B)$?

Showing every continuous function $f$ on $[a,b]$ is the uniform limit of a seq of polynomials $(q_{n})$, where $q_{n}(x) = x^{n}p_{n}(x)$

Prove $9 \mathrel| (4^n+6n-1)$ by induction

Is this a proof by induction question?

When writing a new theorem, is it acceptable to introduce some new definitions concepts?

Halmos's minimality condition

Why is the Riemann Zeta function rational at negative odd numbers (or is it?)

A proof that $\mathbb{Z}_{p}$ is an integral domain if and only if $p$ is prime.

Orthogonal Complement and Subspace

Is the assumption (the set is not empty) really needed for my proof

Does $2^k+2$ generate infinitely-many numbers whose digit sums are prime?

Proving that almost all numbers are good.

Proof Verification - Archimedean Property

Is following function $\exp(x) + \exp(y)$ super-coercive?

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