List questions from proof-verification

Published on 14 Apr 2026 - 1:28

778

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Proof verification: Squeeze theorem for integrals

Published on 09 Apr 2026 - 21:00

102

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Left and Right inverse of a function

Published on 15 Apr 2026 - 14:16

211

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Solving the equation $f(x)=f^{-1}(x)$.

Published on 12 Apr 2026 - 16:31

122

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Calculate the cardinal of $\prod_{0<\alpha<\omega_1}\alpha$

Published on 13 Apr 2026 - 19:13

39

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A continuity problem

Published on 08 Apr 2026 - 21:39

122

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If $\operatorname{deg}(f) \ne 0$ then $f(S^1) = S^1.$

Published on 16 Apr 2026 - 19:33

120

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Subtle point in the proof that each finite spanning set of a vector space contains a basis

Published on 16 Apr 2026 - 18:09

143

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Continuous Almost Everywhere on $A$

Published on 08 Apr 2026 - 18:53

1k

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$(b_n) \rightarrow b$ then $(1/b_n) \rightarrow 1/b$ proof.

Published on 16 Apr 2026 - 3:35

52

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Is this a valid proof that $\forall_{x,y}\left[x\ne y\implies x<y\lor x>y\right]$ in $\mathbb{N}_1$?

Published on 11 May 2026 - 9:07

53

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Pointwise Convergence Almost Everywhere on $A$

Published on 11 Apr 2026 - 12:25

81

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Completion for this proof that $\sum_{k=0}^n {n \choose k} \cos\left((k+1)x\right) = 2^n \cos^n\frac x 2 \cos\frac{(n+2)x}{2}$

Published on 16 Apr 2026 - 11:11

445

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Method of characteristics for $x u_y + u_x=u$

Published on 14 Apr 2026 - 7:21

572

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Show that $x\sin\frac{1}{x}$ has an unbounded 'length'

Published on 14 Apr 2026 - 19:17

List Question

Is the collection $\{x|\;\exists y\;\,\text{such that}\; x\times y = x\}$ a set?

Proof verification: Squeeze theorem for integrals

Left and Right inverse of a function

Solving the equation $f(x)=f^{-1}(x)$.

Calculate the cardinal of $\prod_{0<\alpha<\omega_1}\alpha$

A continuity problem

If $\operatorname{deg}(f) \ne 0$ then $f(S^1) = S^1.$

Subtle point in the proof that each finite spanning set of a vector space contains a basis

Continuous Almost Everywhere on $A$

$(b_n) \rightarrow b$ then $(1/b_n) \rightarrow 1/b$ proof.

Is this a valid proof that $\forall_{x,y}\left[x\ne y\implies x<y\lor x>y\right]$ in $\mathbb{N}_1$?

Pointwise Convergence Almost Everywhere on $A$

Completion for this proof that $\sum_{k=0}^n {n \choose k} \cos\left((k+1)x\right) = 2^n \cos^n\frac x 2 \cos\frac{(n+2)x}{2}$

Method of characteristics for $x u_y + u_x=u$

Show that $x\sin\frac{1}{x}$ has an unbounded 'length'

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