According to MSDN, a hash function must have the following properties:
If two objects compare as equal, the GetHashCode method for each object m
object.GetHashCode()?Overriding this method is important because the following property must always remain true:
If two objects compare as equal, the GetHashCode method for each object must return the same value.
The reason, as stated by JaredPar in a blog post on implementing equality, is that
Many classes use the hash code to classify an object. In particular hash tables and dictionaries tend to place objects in buckets based on their hash code. When checking if an object is already in the hash table it will first look for it in a bucket. If two objects are equal but have different hash codes they may be put into different buckets and the dictionary would fail to lookup the object.