mule vs carpet slipper

mule and carpet slipper both are nouns.

Word	Noun	Adjective	Verb	Adverb
mule	Yes	No	No	No
carpet slipper	Yes	No	No	No

As nouns, carpet slipper is a hypernym of mule; that is, carpet slipper is a word with a broader meaning than mule:

mule: a slipper that has no fitting around the heel
carpet slipper: low footwear that can be slipped on and off easily; usually worn indoors

Other hypernyms of mule include slipper.

mule (noun)	carpet slipper (noun)
hybrid offspring of a male donkey and a female horse; usually sterile	low footwear that can be slipped on and off easily; usually worn indoors
a slipper that has no fitting around the heel