finding of law vs conclusion of law

finding of law and conclusion of law both are nouns.

Word	Noun	Adjective	Verb	Adverb
finding of law	Yes	No	No	No
conclusion of law	Yes	No	No	No

As nouns, finding of law and conclusion of law are synonyms defined as:

finding of law and conclusion of law: a finding as to the applicability of a rule of law to particular facts

finding of law (noun)	conclusion of law (noun)
a finding as to the applicability of a rule of law to particular facts	a finding as to the applicability of a rule of law to particular facts