List questions from proof-writing

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Subgroups of the integers

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Proof of Yoneda's lemma on wikipedia.

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How to prove that $\frac{DE}{CD+CE} =\frac{EF}{BC}=\frac{FD}{AC}$?

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How to prove $(\mathbb{R}\backslash \mathbb{Q})\cap (x,y)\neq \emptyset$ for $x,y\in \mathbb{R}$ and $x<y$?

Published on 15 Apr 2026 - 13:13

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Why can't I prove summation identities without guessing?

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Prove if $a>1, r,s\in \mathbb{Q}, r>s>0$ , then $a^r>a^s>1$

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Exercise about sub-$\sigma$-algebra of $\mathcal{B}(\mathbb{R})$

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Red-Black-Tree Insertion & Deletion Complexity proof

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105

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Sequence tending to infinity (checking epsilon proof)

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Property of absolute continuity of measures and finite variation

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Proving a piece-wise function does not converge

Published on 09 Apr 2026 - 10:50

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Proving a sequence does not converge by the definition.

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Prove that a line touches a circle

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If I can rewrite an inequality $f(x,y)> g(x,y)$ as $ h(x,y)>k(x,y)$, does that mean $f(x,y)>g(x,y)$ IFF $h(x,y)>k(x,y)$?

Published on 14 Apr 2026 - 17:00

List Question

Prove the following claim about skew symmetric matrix $\langle x,Ax\rangle =0$

Subgroups of the integers

Proof of Yoneda's lemma on wikipedia.

How to prove that $\frac{DE}{CD+CE} =\frac{EF}{BC}=\frac{FD}{AC}$?

How to prove $(\mathbb{R}\backslash \mathbb{Q})\cap (x,y)\neq \emptyset$ for $x,y\in \mathbb{R}$ and $x<y$?

Why can't I prove summation identities without guessing?

Prove if $a>1, r,s\in \mathbb{Q}, r>s>0$ , then $a^r>a^s>1$

Exercise about sub-$\sigma$-algebra of $\mathcal{B}(\mathbb{R})$

Red-Black-Tree Insertion & Deletion Complexity proof

Sequence tending to infinity (checking epsilon proof)

Property of absolute continuity of measures and finite variation

Proving a piece-wise function does not converge

Proving a sequence does not converge by the definition.

Prove that a line touches a circle

If I can rewrite an inequality $f(x,y)> g(x,y)$ as $ h(x,y)>k(x,y)$, does that mean $f(x,y)>g(x,y)$ IFF $h(x,y)>k(x,y)$?

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