"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?
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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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'Convince yourself' means 'Prove'.
 
pasmith said:
'Convince yourself' means 'Prove'.
that explains why my homework grade was low 🥺
 
This is a terrible way to word a homework question.
 
Thread 'Use greedy vertex coloring algorithm to prove the upper bound of χ'

Thread 'Use greedy vertex coloring algorithm to prove the upper bound of χ'

Hi! I am struggling with the exercise I mentioned under "Homework statement". The exercise is about a specific "greedy vertex coloring algorithm". One definition (which matches what my book uses) can be found here: https://people.cs.uchicago.edu/~laci/HANDOUTS/greedycoloring.pdf Here is also a screenshot of the relevant parts of the linked PDF, i.e. the def. of the algorithm: Sadly I don't have much to show as far as a solution attempt goes, as I am stuck on how to proceed. I thought...
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