precept vs higher law

precept and higher law both are nouns.

Word	Noun	Adjective	Verb	Adverb
precept	Yes	No	No	No
higher law	Yes	No	No	No

As nouns, higher law is a hyponym of precept; that is, higher law is a word with a more specific, narrower meaning than precept:

Other hyponyms of precept include moral principle, hypothetical imperative, caveat emptor.

precept (noun)	higher law (noun)
a doctrine that is taught	a principle that takes precedent over the laws of society
rule of personal conduct