corollary vs logic

corollary and logic both are nouns.

Word	Noun	Adjective	Verb	Adverb
corollary	Yes	No	No	No
logic	Yes	No	No	No

corollary (noun)	logic (noun)
(logic) an inference that follows directly from the proof of another proposition	the branch of philosophy that analyzes inference
a practical consequence that follows naturally	a system of reasoning
	reasoned and reasonable judgment
	the principles that guide reasoning within a given field or situation
	the system of operations performed by a computer that underlies the machine's representation of logical operations