I was going through the GroupBy method in LINQ :
public static IEnumerable<IGrouping<TKey, TSource>> GroupBy<TSource, TKey>(
    this IEnumerable<TSource> source,
    Func<TSource, TKey> keySelector,
    IEqualityComparer<TKey> comparer
)
I understand how to use GroupBy and what it returns. I want to understand the significance of IEqualityComparer<TKey> comparer and what is it actually used for in GroupBy.
The IEqualityComparer<TKey> object will be used to perform a two-step check to see if a TKey instance is "equal" to the key of an existing group and thus should be in that group:
GetHashCode) against the hash code of existing keys.  If it does not equal any of those values it is added to a new groupEquals).  If the item is "equal to" the group key, the item is added to that group.If you do not supply a comparer (either by passing null or using one of the overloads that does not have that parameter), the "default" comparer is used, which uses the TKey class itself if it implements IEquatable or any applicable overrides of Equals and GetHashCode.
So this implies a few key relationships between Equals and GetHashCode:
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