put to sleep vs put

put to sleep is not a noun while put is a noun.

Word	Noun	Adjective	Verb	Adverb
put to sleep	No	No	Yes	No
put	Yes	No	Yes	No

As verbs, put is a hypernym of put to sleep; that is, put is a word with a broader meaning than put to sleep:

put to sleep (noun)	put (noun)
	the option to sell a given stock (or stock index or commodity future) at a given price before a given date

put to sleep (verb)	put (verb)
kill gently, as with an injection	arrange thoughts, ideas, temporal events
help someone go to bed	estimate
	formulate in a particular style or language
	attribute or give
	put into a certain place or abstract location
	cause to be in a certain state; cause to be in a certain relation
	adapt
	cause (someone) to undergo something
	make an investment