List questions from proof-verification

Published on 25 Mar 2026 - 13:32

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Proving that if two integers have opposite parity, then their product is even

Published on 21 Feb 2018 - 0:57

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Show that $f^{-1}(K)$ is compact if $K$ is compact.

Published on 21 Feb 2018 - 1:21

102

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Proof Verification/Help of Euler-Phi function Theorem

Published on 26 Mar 2026 - 4:28

737

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Concerning the existence of a basis corresponding to the dual basis $\phi_1,\phi_2,...,\phi_n\in V'$

Published on 21 Feb 2018 - 15:54

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Proof every convex function is continuous (Problem 10 Convex Functions Spivak)

Published on 21 Feb 2018 - 19:08

538

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Norms on quotient spaces

Published on 24 Mar 2026 - 22:11

688

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$T'=0$ if and only if $T=0$

Published on 24 Mar 2026 - 22:12

88

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The binomial coefficient - prove this property

Published on 21 Feb 2018 - 20:46

233

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Proof Verification: Show that sides AC = AB

Published on 25 Mar 2026 - 15:58

45

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Proof by induction involving summation and combinations

Published on 22 Feb 2018 - 0:03

331

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Open and Closed Sets Discrete Metric

Published on 22 Feb 2018 - 2:44

70

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Countable Additivity of Complete Measure

Published on 22 Feb 2018 - 3:10

179

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Prove that for all elements $a$ of a group, $a^k a^l = a^{k+l}$ for all $k,l \in \mathbb{Z}$

Published on 25 Mar 2026 - 9:29

22

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$U = 0\Leftrightarrow U^0 = V'$

Published on 24 Mar 2026 - 22:10

List Question

Continuity counterexamples for probability measures

Proving that if two integers have opposite parity, then their product is even

Show that $f^{-1}(K)$ is compact if $K$ is compact.

Proof Verification/Help of Euler-Phi function Theorem

Concerning the existence of a basis corresponding to the dual basis $\phi_1,\phi_2,...,\phi_n\in V'$

Proof every convex function is continuous (Problem 10 Convex Functions Spivak)

Norms on quotient spaces

$T'=0$ if and only if $T=0$

The binomial coefficient - prove this property

Proof Verification: Show that sides AC = AB

Proof by induction involving summation and combinations

Open and Closed Sets Discrete Metric

Countable Additivity of Complete Measure

Prove that for all elements $a$ of a group, $a^k a^l = a^{k+l}$ for all $k,l \in \mathbb{Z}$

$U = 0\Leftrightarrow U^0 = V'$

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