List questions from proof-verification

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Combinatorics - Standard 52-card deck

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Proof verification of a problem of Riemann Integration

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Derivative of inverse function theorem and proof check

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Prove that $\sqrt[4]{xyzw} \leq \frac{x+y+z+w}{4}$ for any $x, y, z, w \geq 0$

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Prove that $(x−2y+z)^2 \geq 4xz−8y$

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Handshaking lemma proving r-regular graph

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$H(\Omega)$ space of harmonic functions in $\Omega$. Show that $H(\Omega)$ is a closed subspace of $L^1(\Omega)$.

Published on 18 Sep 2018 - 20:30

813

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If $a \cdot a = a$ then $a=0$ or $a=1$?

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Complex Line Integral of Holomorphic Function over Closed Curve is Zero

Published on 19 Sep 2018 - 1:37

195

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If ($f_n$) is Cauchy in measure, there exists a subsequence ($g_k$) of ($f_n$) such that ($g_k$) converges a.e.

Published on 19 Sep 2018 - 1:56

108

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For any two sets $A$ and $B$, $|A|\le |B|$ or $|B|\le |A|$

Published on 19 Sep 2018 - 6:33

303

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Proof verification: A countable union of countable sets is countable

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52

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Is $\{1,3^{1/2},3^{1/3},3^{2/3}\}$ a basis of $\Bbb Q(3^{1/2},3^{1/3})$

Published on 29 Mar 2026 - 11:44

461

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Verification of proof that particular set of functions is a group.

Published on 19 Sep 2018 - 13:51

List Question

Algebraic Induction

Combinatorics - Standard 52-card deck

Proof verification of a problem of Riemann Integration

Derivative of inverse function theorem and proof check

Prove that $\sqrt[4]{xyzw} \leq \frac{x+y+z+w}{4}$ for any $x, y, z, w \geq 0$

Prove that $(x−2y+z)^2 \geq 4xz−8y$

Handshaking lemma proving r-regular graph

$H(\Omega)$ space of harmonic functions in $\Omega$. Show that $H(\Omega)$ is a closed subspace of $L^1(\Omega)$.

If $a \cdot a = a$ then $a=0$ or $a=1$?

Complex Line Integral of Holomorphic Function over Closed Curve is Zero

If ($f_n$) is Cauchy in measure, there exists a subsequence ($g_k$) of ($f_n$) such that ($g_k$) converges a.e.

For any two sets $A$ and $B$, $|A|\le |B|$ or $|B|\le |A|$

Proof verification: A countable union of countable sets is countable

Is $\{1,3^{1/2},3^{1/3},3^{2/3}\}$ a basis of $\Bbb Q(3^{1/2},3^{1/3})$

Verification of proof that particular set of functions is a group.

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