List questions from solution-verification

Published on 13 Apr 2026 - 18:09

63

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First-Order Logic Proof

Published on 13 Apr 2026 - 5:20

57

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Verify Proof in First Order Logic: $\forall x (fex=e \rightarrow x=e)$

Published on 13 Apr 2026 - 18:20

85

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A proof of Leibniz integral rule

Published on 11 Apr 2026 - 22:38

88

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Proof that the tangent space at the neutral element of a Lie group carries the structure of a Lie algebra

Published on 14 Apr 2026 - 5:16

151

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If there is a line segment on which a holomorphic function is constant, then it is constant

Published on 24 Apr 2026 - 23:48

53

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Showing two sets are the same by arguing on uniqueness, property, & cardinality in a group-theory exercise.

Published on 12 Apr 2026 - 20:36

84

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Simple friendship proof

Published on 13 Apr 2026 - 17:55

52

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Questions about collection of ordinals

Published on 12 Apr 2026 - 3:22

194

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Let $V$ an inner product space, and $U$ a subspace of $V$. Prove $P^*_U = P_U$ (projection over U).

Published on 16 Apr 2026 - 11:21

61

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Is my proof by contradiction incorrect?

Published on 11 Apr 2026 - 6:27

115

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Show that $ \frac{X_{n}}{n} \stackrel{\mathrm{d}}{\longrightarrow} X $ for $ n \rightarrow \infty $

Published on 16 Apr 2026 - 13:42

61

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Prove Ker$T=($Im$T^)^\bot$ and (Ker$T^$)$^\bot$ = Im$T$. Deduce $\dim$Im$T=\dim$Im$T^*$.

Published on 28 Mar 2026 - 15:20

46

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Let $A$ and $B$ be $n \times n$ matrices. If $AB = I$, then $BA = I$.

Published on 14 Apr 2026 - 19:46

57

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Solution verification: this given function is holomorphic

Published on 12 Apr 2026 - 12:58

List Question

Proof verification for $(2n)! ≥ 2^n (n!)^2$

First-Order Logic Proof

Verify Proof in First Order Logic: $\forall x (fex=e \rightarrow x=e)$

A proof of Leibniz integral rule

Proof that the tangent space at the neutral element of a Lie group carries the structure of a Lie algebra

If there is a line segment on which a holomorphic function is constant, then it is constant

Showing two sets are the same by arguing on uniqueness, property, & cardinality in a group-theory exercise.

Simple friendship proof

Questions about collection of ordinals

Let $V$ an inner product space, and $U$ a subspace of $V$. Prove $P^*_U = P_U$ (projection over U).

Is my proof by contradiction incorrect?

Show that $ \frac{X_{n}}{n} \stackrel{\mathrm{d}}{\longrightarrow} X $ for $ n \rightarrow \infty $

Prove Ker$T=($Im$T^)^\bot$ and (Ker$T^$)$^\bot$ = Im$T$. Deduce $\dim$Im$T=\dim$Im$T^*$.

Let $A$ and $B$ be $n \times n$ matrices. If $AB = I$, then $BA = I$.

Solution verification: this given function is holomorphic

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