List of answer templates

Question

I've created this post with the same purpose as the List of comment templates post, although I imagine it'll be far less useful. There are a few questions on the Unanswered Questions Queue only because their answer is yes or no or something analogously unworthy of making a post. I want to collect some reasonable answers to copy/paste for such questions here.

To facilitate easy copying, if your comment contains links and/or formatting, please enclose the whole text between single grave accent characters ` to type your answer verbatim like this.`

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Here's a list of examples harvested from questions I've answered that these templates could be used for. Most of them have better answers than the templates below, but having an answer that says something like "yes, you're right," doesn't keep someone from answering the question better later. I'd just rather these questions not stagnate in the Unanswered Questions Queue just because their answer is yes/no.

Confused about which area bounded by the curve I'm calculating

Bergman's Diamond Lemma: do these rules lead to a normal form?

Is every connected, finite, undirected graph in which all vertices are degree two a cycle?

Proof of arithmetical identities $-(-m)=m$ and $-0=0$

Is my understanding of when a graph is planar (or not) correct?

Ore's "Graphs and Their Uses" Problem Set 1.5, Problem 2 ...

Two interview questions

True? "A rectangle is a subset of a circle if and only if all its vertices are in the circle (or its boundary)."

Bipartite Graph Typo in "Modern Graph Theory" by Bollobas

Let $X=\{1,2,3\}$, $Y=\{1,2,3,4\}$, and $Z=\{1,2\}$

Injective mapping onto a subgroup of a finite group.

Why isn't there necessarily a direct sum of rings?

What's the term to describe a morphism that isn't a composite of morphisms?

Translating the information from a word problem into a function.

Integration technique of writing $\int_0^{\infty}$ as $\int_0^1 + \int_1^{\infty}$ and using the substitution $\frac{1}{x} \leftrightarrow u$

Answer 1

Yes, your thoughts/proof is correct

Because there are a bunch of proof-verification type questions where the OP's proof is absolutely correct, and users have said and upvoted this fact in the comments.

Yes, this is correct.

^{I'm posting this CW answer so that users who confidently concur have something to vote on, and so this question doesn't stagnate in the Unanswered Questions Queue. If however anyone would like to write a more substantial response to the question, please downvote this answer and post your own.}

### Yes, this is correct.

<sup> I'm posting this CW answer so that users who **confidently** concur have something to vote on, and so this question doesn't stagnate in the [Unanswered Questions Queue](https://math.stackexchange.com/questions?sort=unanswered). If however anyone would like to write a more substantial response to the question, please downvote this answer and post your own. </sup>

Answer 2

There is no (term/phrase/name) for the (idea/object) you're describing

This one is for questions that are like "Here's this mathematical object. Is there a common name for such a thing?"

No, no such thing exists.

^{This post exists so that users who confidently concur that the answer to the question is "No" have an answer to vote on. If however anyone has an affirmative response to the question, please downvote this and post the answer.}

### No, no such thing exists.

<sup> This post exists so that users who **confidently** concur that the answer to the question is "*No*" have an answer to vote on. If however anyone has an affirmative response to the question, please downvote this and post the answer.