List questions from proof-verification

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proof if X Weibull distributed then Y=aX^b (a,b>0) also Weibull distributed

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Proof verification for polynomial solutions to $xP(x-1)=(x-2)P(x)$

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checking the functor $\texttt{Nil}_n$ is represented by $(\mathbb{Z}[x]/(x^n), \tau_R)$

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Prove: $\lim_{n\to\infty}{\sum_{m=0}^{n}{\sum_{k=0}^{n-m}{\frac{2^{n-m-k}}{n-m+1}\,\frac{{{2k}\choose{k}}{{2m}\choose{m}}}{{{2n}\choose{n}}}}}}=\pi$

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Complex inequality $|a+b|\le |a|+|b|$

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Proof $x^3+ax^2+bx+c-e^x=0$ has at least one solution

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Prove that for all integers $x$ with final digit equal to $5$, $x$ is a multiple of $5$

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342

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Importance of Axiom of Choice (or its weak form) in Real Analysis

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List Question

Closed sets in infinite product topological spaces

Pullback of diffrential forms in surjective submersions

Uncountable Set with Co-countable topology is not a Sequential Space

proof if X Weibull distributed then Y=aX^b (a,b>0) also Weibull distributed

Prove that if $A \preceq B$ and $B \approx C$ then $A \preceq C$

If $x^3 = y^2$, why is $y/x$ transcendental?

Does the constant $C$ in this solution to a differential equation equal infinity?

Proof verification for polynomial solutions to $xP(x-1)=(x-2)P(x)$

checking the functor $\texttt{Nil}_n$ is represented by $(\mathbb{Z}[x]/(x^n), \tau_R)$

Let $X$ be a Banach space then every absolutely convergent series in $X$ converges in $X$

Prove: $\lim_{n\to\infty}{\sum_{m=0}^{n}{\sum_{k=0}^{n-m}{\frac{2^{n-m-k}}{n-m+1}\,\frac{{{2k}\choose{k}}{{2m}\choose{m}}}{{{2n}\choose{n}}}}}}=\pi$

Complex inequality $|a+b|\le |a|+|b|$

Proof $x^3+ax^2+bx+c-e^x=0$ has at least one solution

Prove that for all integers $x$ with final digit equal to $5$, $x$ is a multiple of $5$

Importance of Axiom of Choice (or its weak form) in Real Analysis

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