List questions from proof-verification

Published on 25 Mar 2026 - 19:11

102

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Suppose that $f:A\to B$ is a mapping, that $A,B$ are finite, and that $|A| > |B|$. Then $f$ is not injective

Published on 22 Sep 2018 - 4:07

1.8k

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Prove that any point on the perpendicular bisector of a line segment is equidistant from the endpoints of the line segment.

Published on 22 Sep 2018 - 6:36

81

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Maximal ideals of $\Bbb Z/5\Bbb Z$, $\Bbb Z/10\Bbb Z$ and $\Bbb Z/4\Bbb Z\times\Bbb Z/6\Bbb Z$

Published on 28 Mar 2026 - 11:48

100

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Suppose that $f:A\to B$ where $A$ is uncountable and $B$ is countable. Then there exists $b \in B$ such that $f^{−1}[\{b\}]$ is uncountable.

Published on 22 Sep 2018 - 10:11

53

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Find the fallacy in the following proof

Published on 22 Sep 2018 - 12:36

32

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Proving that trivial solution implies column sum to 1 via contrapositivity

Published on 01 Apr 2026 - 17:25

496

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Where is the flaw in my logic in this normal distribution question?

Published on 29 Mar 2026 - 12:41

107

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Normal distribution with the sample mean question

Published on 29 Mar 2026 - 12:31

930

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Extending Cauchy-Schwarz

Published on 09 Apr 2026 - 10:54

389

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Rationals in [0,1] are $F_{\sigma}$?

Published on 01 Apr 2026 - 18:15

395

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Proving f is onto given if $g \circ f = h \circ f$, then g = h

Published on 25 Mar 2026 - 22:05

84

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Combinatorics - h men, m women and n chairs in a circular table

Published on 22 Sep 2018 - 21:16

60

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Proof that this is a a subspace

Published on 27 Mar 2026 - 14:21

221

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Why does the proof of $|\sqrt{x}-\sqrt{y}| \leq \sqrt{|x-y|}$ work from the case solution?

Published on 02 Apr 2026 - 0:22

List Question

Evaluate $\ \int_{|z|=2}\frac{z^2+1}{(z-3)(z^2-1)}\ dz$

Suppose that $f:A\to B$ is a mapping, that $A,B$ are finite, and that $|A| > |B|$. Then $f$ is not injective

Prove that any point on the perpendicular bisector of a line segment is equidistant from the endpoints of the line segment.

Maximal ideals of $\Bbb Z/5\Bbb Z$, $\Bbb Z/10\Bbb Z$ and $\Bbb Z/4\Bbb Z\times\Bbb Z/6\Bbb Z$

Suppose that $f:A\to B$ where $A$ is uncountable and $B$ is countable. Then there exists $b \in B$ such that $f^{−1}[\{b\}]$ is uncountable.

Find the fallacy in the following proof

Proving that trivial solution implies column sum to 1 via contrapositivity

Where is the flaw in my logic in this normal distribution question?

Normal distribution with the sample mean question

Extending Cauchy-Schwarz

Rationals in [0,1] are $F_{\sigma}$?

Proving f is onto given if $g \circ f = h \circ f$, then g = h

Combinatorics - h men, m women and n chairs in a circular table

Proof that this is a a subspace

Why does the proof of $|\sqrt{x}-\sqrt{y}| \leq \sqrt{|x-y|}$ work from the case solution?

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