List questions from proof-writing

Published on 14 Apr 2026 - 8:18

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Prove that if $\tau_2$ is finer than $\tau_1$, then $f: (X,\tau_2) \rightarrow (Y,\sigma_1)$ is continuous.

Published on 14 Apr 2026 - 21:52

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Should a mathematical proof be 'convincing'?

Published on 09 Apr 2026 - 0:21

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Can all proven theorems be proven by contradiction?

Published on 14 Apr 2026 - 14:41

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Prove that $a_n<a_{n+1}$

Published on 16 Apr 2026 - 18:50

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prove $x+y=a, xy=b$ uniquely determine $x,y$

Published on 16 Apr 2026 - 8:46

130

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Proving convergence of sequence using epsilon-N

Published on 15 Apr 2026 - 12:41

91

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Riemann Integrability of a function $f$ on $[0,1]$

Published on 11 Apr 2026 - 18:10

940

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Differentiability implies continuity in higher dimension

Published on 13 Apr 2026 - 14:20

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Is there a proof that performing an operation on both sides of an equation preserves equality?

Published on 09 Apr 2026 - 17:01

279

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Notation convention for distinguishing uses of equal sign when manipulating equations

Published on 12 Apr 2026 - 17:23

275

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Prove that the following statements are equivalent if $\tau_1$ is finer than $\tau_2$.

Published on 15 Apr 2026 - 14:14

559

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Proof that real Cauchy sequences converge using the definitions only

Published on 12 Apr 2026 - 0:40

395

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Question regarding Fubini's theorem and a piecewise function

Published on 16 Apr 2026 - 4:57

67

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Describing conformal maps in terms of a complex functional equation.

Published on 10 Apr 2026 - 10:28

List Question

Linearity of the derivative operator of polynomials

Prove that if $\tau_2$ is finer than $\tau_1$, then $f: (X,\tau_2) \rightarrow (Y,\sigma_1)$ is continuous.

Should a mathematical proof be 'convincing'?

Can all proven theorems be proven by contradiction?

Prove that $a_n<a_{n+1}$

prove $x+y=a, xy=b$ uniquely determine $x,y$

Proving convergence of sequence using epsilon-N

Riemann Integrability of a function $f$ on $[0,1]$

Differentiability implies continuity in higher dimension

Is there a proof that performing an operation on both sides of an equation preserves equality?

Notation convention for distinguishing uses of equal sign when manipulating equations

Prove that the following statements are equivalent if $\tau_1$ is finer than $\tau_2$.

Proof that real Cauchy sequences converge using the definitions only

Question regarding Fubini's theorem and a piecewise function

Describing conformal maps in terms of a complex functional equation.

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