"Convince yourself" of the lemma - is any work required?

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SUMMARY

The discussion centers on the interpretation of the phrase "Convince yourself," which is equated with the act of proving a statement or lemma. Participants express frustration over the ambiguity of homework questions that utilize this phrasing, indicating that it can lead to misunderstandings and lower grades. The consensus highlights the need for clearer wording in academic assignments to avoid confusion among students.

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Homework Statement
In the homework statement part (a), it says to "convince yourself" of the given lemma. How do I satisfy this requirement for full credit?
Relevant Equations
Since I see these types of homework prompts often, does this mean that I should prove the given Lemma, or just accept it as true and move onto (b) with no work required by me?
Screen Shot 2021-11-06 at 3.35.39 PM.png
 
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'Convince yourself' means 'Prove'.
 
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pasmith said:
'Convince yourself' means 'Prove'.
that explains why my homework grade was low 🥺
 
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This is a terrible way to word a homework question.
 
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