List questions from proof-writing

Published on 25 Mar 2026 - 7:16

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Prove that for all integers $a$, $b$ and $d$, if $d$ |$2a + b$ and $d$ | $3a + b$, then $d$ | $a$ and $d$ | $b$

Published on 01 Apr 2026 - 9:45

173

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How would you prove that a dynamic programming problem is solvable by a greedy algorithm?

Published on 09 Apr 2026 - 0:53

111

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If ${A \subseteq B}$, then ${A \cup B = B}$

Published on 22 Mar 2026 - 19:17

441

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Geometric proof in Waterloo Euclid Contest

Published on 10 Apr 2026 - 3:34

153

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How do I prove that a BBP type formula is true?

Published on 08 Apr 2026 - 2:46

374

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A continuous function that is negative at some point will be negative around that point

Published on 26 Mar 2026 - 1:01

76

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If $a$ is an integer, prove that $\gcd(14a + 3, 21a + 4) = 1$.

Published on 10 Apr 2026 - 1:31

82

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Number theory gcd

Published on 10 Apr 2026 - 7:19

189

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Two lattice identities

Published on 09 Apr 2026 - 2:26

182

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Prove by the Principle of Recursion

Published on 08 Apr 2026 - 21:38

70

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Proof $n \geq 3\hspace{0.5cm} \sum\limits_{k=1}^{n-2}{n-k\choose 2}={n\choose 3}$

Published on 25 Mar 2026 - 4:41

215

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Power rule proof

Published on 31 Mar 2026 - 15:53

105

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Proving $\frac{\cos a - \sin a + 1}{\cos a + \sin a - 1 } = \frac{\sin a}{1-\cos a}$

Published on 01 Apr 2026 - 1:15

882

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Proving any set of elements in a UFD has a GCD

Published on 25 Mar 2026 - 13:52

List Question

Showing that $\sup f(x)^{2} = (\sup|f(x)|)^2$ for $x \in [x_{i-1}, x_i]$

Prove that for all integers $a$, $b$ and $d$, if $d$ |$2a + b$ and $d$ | $3a + b$, then $d$ | $a$ and $d$ | $b$

How would you prove that a dynamic programming problem is solvable by a greedy algorithm?

If ${A \subseteq B}$, then ${A \cup B = B}$

Geometric proof in Waterloo Euclid Contest

How do I prove that a BBP type formula is true?

A continuous function that is negative at some point will be negative around that point

If $a$ is an integer, prove that $\gcd(14a + 3, 21a + 4) = 1$.

Number theory gcd

Two lattice identities

Prove by the Principle of Recursion

Proof $n \geq 3\hspace{0.5cm} \sum\limits_{k=1}^{n-2}{n-k\choose 2}={n\choose 3}$

Power rule proof

Proving $\frac{\cos a - \sin a + 1}{\cos a + \sin a - 1 } = \frac{\sin a}{1-\cos a}$

Proving any set of elements in a UFD has a GCD

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