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

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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?
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pasmith said:
'Convince yourself' means 'Prove'.
that explains why my homework grade was low 🥺