List questions from proof-writing

Published on 14 Apr 2026 - 8:59

70

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Trying to prove $\log\left(n!\right)$ is greater than or equal to $\left(\frac{n}{2}\log\left(n\right)\right)$

Published on 16 Apr 2026 - 22:05

70

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Proving Set Equality $A=B$

Published on 17 Apr 2026 - 13:48

166

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What is the lower bound of $f(s,k)$?

Published on 15 Apr 2026 - 2:07

737

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Proof a formula for the number of leaves on a tree

Published on 13 Apr 2026 - 13:14

700

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Showing $e(a,b)=\{\min(1,d(a,b))\}$ is equivalent to $d(a,b)$

Published on 16 Apr 2026 - 10:28

74

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Proof of limit point ( accumulation point )

Published on 12 Apr 2026 - 11:41

403

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Proving $d((x_1,y_1),(x_2,y_2))=\max\{d_1(x_1,x_2),d_2(y_1,y_2)\}$ and $e((x_1,y_1),(x_2,y_2))=d_1(x_1,x_2)+d_2(y_1,y_2)$ are equivalent

Published on 16 Apr 2026 - 18:54

371

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Proving a decimal expansion is bijective

Published on 11 Apr 2026 - 20:28

260

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Proving $3x^{10} - y^{10} = 1991$ has no integral solutions. Check my proof.

Published on 16 Apr 2026 - 0:46

55

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An "if and only if" proof regarding upper bounds

Published on 12 Apr 2026 - 2:50

248

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N and M are positive integers having same digits but in different order, N + M = 10^10, then prove that N is divisible by 10.

Published on 16 Apr 2026 - 3:11

5.8k

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Proving every metrizable space is normal space

Published on 14 Apr 2026 - 11:00

379

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Torsion and homology with coefficients

Published on 14 Apr 2026 - 3:50

249

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Space is both $T_1$-space and normal space is Hausdorff space

Published on 15 Apr 2026 - 21:54

List Question

Prove that f is an increasing function

Trying to prove $\log\left(n!\right)$ is greater than or equal to $\left(\frac{n}{2}\log\left(n\right)\right)$

Proving Set Equality $A=B$

What is the lower bound of $f(s,k)$?

Proof a formula for the number of leaves on a tree

Showing $e(a,b)=\{\min(1,d(a,b))\}$ is equivalent to $d(a,b)$

Proof of limit point ( accumulation point )

Proving $d((x_1,y_1),(x_2,y_2))=\max\{d_1(x_1,x_2),d_2(y_1,y_2)\}$ and $e((x_1,y_1),(x_2,y_2))=d_1(x_1,x_2)+d_2(y_1,y_2)$ are equivalent

Proving a decimal expansion is bijective

Proving $3x^{10} - y^{10} = 1991$ has no integral solutions. Check my proof.

An "if and only if" proof regarding upper bounds

N and M are positive integers having same digits but in different order, N + M = 10^10, then prove that N is divisible by 10.

Proving every metrizable space is normal space

Torsion and homology with coefficients

Space is both $T_1$-space and normal space is Hausdorff space

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