List questions from solution-verification

Published on 10 Jan 2020 - 0:53

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What is my mistake in the following proof?

Published on 31 Mar 2026 - 10:37

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Proof verification: show $\hat{f}=f$

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Proof about a deductive system L involving completeness and correctness

Published on 10 Jan 2020 - 12:39

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Prove that the calculus of natural deduction using the signature ${\neg, \vee}$ is complete.

Published on 26 Mar 2026 - 4:14

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Proof verification: weak homotopy equivalences and homotopy equivalences

Published on 10 Jan 2020 - 19:17

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$\mu$ measurable sets

Published on 25 Mar 2026 - 16:06

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Solution verification: $\lim_{x\to \infty}\Bigg(\frac{\ln(x^2+3x+4)}{\ln(x^2+2x+3)}\Bigg)^{x\ln x}$

Published on 29 Mar 2026 - 19:17

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proof that the sum of two bounded, closed sets is closed

Published on 10 Jan 2020 - 20:40

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Using the Residue Theorem evaluate $\int_{C}{e^\frac{1}{z}dz}$

Published on 29 Mar 2026 - 17:27

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Intuitive way to prove that $\frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \cdots = 0$

Published on 28 Mar 2026 - 4:53

56

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$\phi:\mathbb{R}^n\rightarrow\mathbb{R}$ with a given condition is measurable.

Published on 28 Mar 2026 - 15:26

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Linear operator continuous if and only if bounded; explanation of idea of proof

Published on 11 Jan 2020 - 2:30

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$A⊆B$ then $R(A)⊆R(B)$

Published on 30 Mar 2026 - 20:40

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prove $f\left(A∩\ f^{-1}\left(B\right)\right)=f\left(A\right)\ ∩\ B$ and $f\left(\ f^{-1}\left(B\right)\right)=f\left(X\right)\ ∩\ B$

Published on 11 Jan 2020 - 8:33

List Question

Let $f$ be a function from $X$ to $Y$ .For $B'\subset Y$, prove that $f(f^{-1}(B')) \subset B'$.

What is my mistake in the following proof?

Proof verification: show $\hat{f}=f$

Proof about a deductive system L involving completeness and correctness

Prove that the calculus of natural deduction using the signature ${\neg, \vee}$ is complete.

Proof verification: weak homotopy equivalences and homotopy equivalences

$\mu$ measurable sets

Solution verification: $\lim_{x\to \infty}\Bigg(\frac{\ln(x^2+3x+4)}{\ln(x^2+2x+3)}\Bigg)^{x\ln x}$

proof that the sum of two bounded, closed sets is closed

Using the Residue Theorem evaluate $\int_{C}{e^\frac{1}{z}dz}$

Intuitive way to prove that $\frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \cdots = 0$

$\phi:\mathbb{R}^n\rightarrow\mathbb{R}$ with a given condition is measurable.

Linear operator continuous if and only if bounded; explanation of idea of proof

$A⊆B$ then $R(A)⊆R(B)$

prove $f\left(A∩\ f^{-1}\left(B\right)\right)=f\left(A\right)\ ∩\ B$ and $f\left(\ f^{-1}\left(B\right)\right)=f\left(X\right)\ ∩\ B$

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