List questions from proof-writing

Published on 15 Apr 2026 - 23:16

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Is this a valid proof for the Cauchy-Schwarz inequality?

Published on 16 Apr 2026 - 9:15

379

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Developing proof skills

Published on 08 Apr 2026 - 16:19

33

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Prove that $f(x)\leq x\cdot\log_2 x$ for all integer $x\geq1$

Published on 15 Apr 2026 - 23:27

311

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Question regarding Countable Sets and Cantor's Diagonal Argument

Published on 15 Apr 2026 - 18:19

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For any $f:A\to A$ and any relation $R$ on $A$, define $S$ on $A$ by $aSb$ iff $(f(a),(f(b))\in R$. Does $S$ reflexive or symmetric imply it for $R$?

Published on 14 Apr 2026 - 22:50

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Getting the amount of elements of an equivalence class of a set

Published on 14 Apr 2026 - 11:19

177

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Proof of $ f:I_n \rightarrow I_m \Rightarrow n = m$

Published on 13 Apr 2026 - 16:50

60

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Not sure when to use Distributive Law in specific Proofs question.

Published on 12 Apr 2026 - 8:17

292

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Regularity of Topological Space $(\mathbb R,\tau)$

Published on 17 Apr 2026 - 5:31

91

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For positive integers $m$ and $n$, if $10m\mid 21n$, then $10\mid n$

Published on 16 Apr 2026 - 9:14

80

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Relations between ideals and varieties

Published on 13 Apr 2026 - 12:25

620

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$8^n-3^n$ Divisible by 5 - Proof Verification.

Published on 14 Apr 2026 - 13:20

291

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A question about topological space locally path connected.

Published on 10 Apr 2026 - 7:25

18.7k

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prove $f(x)=x^3+x$ is one to one and onto

Published on 15 Apr 2026 - 7:43

List Question

If $ |A| = n $ and $ |B| = m $, then there exists a bijection $f: I_{n + m} \rightarrow A \cup B $

Is this a valid proof for the Cauchy-Schwarz inequality?

Developing proof skills

Prove that $f(x)\leq x\cdot\log_2 x$ for all integer $x\geq1$

Question regarding Countable Sets and Cantor's Diagonal Argument

For any $f:A\to A$ and any relation $R$ on $A$, define $S$ on $A$ by $aSb$ iff $(f(a),(f(b))\in R$. Does $S$ reflexive or symmetric imply it for $R$?

Getting the amount of elements of an equivalence class of a set

Proof of $ f:I_n \rightarrow I_m \Rightarrow n = m$

Not sure when to use Distributive Law in specific Proofs question.

Regularity of Topological Space $(\mathbb R,\tau)$

For positive integers $m$ and $n$, if $10m\mid 21n$, then $10\mid n$

Relations between ideals and varieties

$8^n-3^n$ Divisible by 5 - Proof Verification.

A question about topological space locally path connected.

prove $f(x)=x^3+x$ is one to one and onto

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