List questions from proof-writing

Published on 17 Apr 2026 - 9:43

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What are some good examples of _Proof by Mutual Induction_?

Published on 12 Apr 2026 - 20:11

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Why isn't equality in the triangle equality true when $x = y$?

Published on 14 Apr 2026 - 17:08

157

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Prove $n^3+(n+1)^3>(n+2)^3$

Published on 17 Apr 2026 - 6:13

235

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What does semantic entailment even mean, in the context of completeness?

Published on 09 Apr 2026 - 5:28

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A trivial question on the sequences $\{a_n\}$ and $\{a_{n+1}\}$ converging to the same limit using the definition of convergence only

Published on 15 Apr 2026 - 7:16

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Is this valid equality of two sets $S$ = $\{(x,y)$ $\in$ $\mathbb{N}^2: (2-x)(2-y)<2(4-x-y)\}$ and $T = \{(1,1), (1,2), (2,1), (1,3), (3,1)\}$?

Published on 16 Apr 2026 - 6:23

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Prove for all positive real numbers $x$ and $y$, if $x+y \le (4xy)/(x+y)$, then $x=y$

Published on 13 Apr 2026 - 16:53

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Right inverse implies at least a solution to AX=b and left inverse implies at most a solution to AX=b

Published on 14 Apr 2026 - 12:30

119

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How to prove that it is a Cauchy sequence?

Published on 13 Apr 2026 - 15:38

512

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Fitch system, or alternatives?

Published on 15 Apr 2026 - 17:19

65

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Prove that is a topology

Published on 14 Apr 2026 - 9:00

452

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If $L$ is a lower bound of $S$, then $L=\inf(S)$ iff $\exists$ a sequence $\{S_n\}$ of elements of $S$ that converges to $L$

Published on 16 Apr 2026 - 15:54

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Multiplicative Inverse Proof

Published on 15 Apr 2026 - 20:54

93

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Is this a valid proof strategy?

Published on 09 Apr 2026 - 20:03

List Question

Deriving sine difference formula

What are some good examples of _Proof by Mutual Induction_?

Why isn't equality in the triangle equality true when $x = y$?

Prove $n^3+(n+1)^3>(n+2)^3$

What does semantic entailment even mean, in the context of completeness?

A trivial question on the sequences $\{a_n\}$ and $\{a_{n+1}\}$ converging to the same limit using the definition of convergence only

Is this valid equality of two sets $S$ = $\{(x,y)$ $\in$ $\mathbb{N}^2: (2-x)(2-y)<2(4-x-y)\}$ and $T = \{(1,1), (1,2), (2,1), (1,3), (3,1)\}$?

Prove for all positive real numbers $x$ and $y$, if $x+y \le (4xy)/(x+y)$, then $x=y$

Right inverse implies at least a solution to AX=b and left inverse implies at most a solution to AX=b

How to prove that it is a Cauchy sequence?

Fitch system, or alternatives?

Prove that is a topology

If $L$ is a lower bound of $S$, then $L=\inf(S)$ iff $\exists$ a sequence $\{S_n\}$ of elements of $S$ that converges to $L$

Multiplicative Inverse Proof

Is this a valid proof strategy?

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