rule vs universal

rule and universal both are nouns.

Word	Noun	Adjective	Verb	Adverb
rule	Yes	No	Yes	No
universal	Yes	Yes	No	No

As nouns, universal is a hyponym of rule; that is, universal is a word with a more specific, narrower meaning than rule:

rule: something regarded as a normative example
universal: a behavioral convention or pattern characteristic of all members of a particular culture or of all human beings

Other hyponyms of rule include mores, code of behavior, code of conduct.

As nouns, universal is a hyponym of rule; that is, universal is a word with a more specific, narrower meaning than rule:

rule: (linguistics) a rule describing (or prescribing) a linguistic practice
universal: (linguistics) a grammatical rule (or other linguistic feature) that is found in all languages

rule (noun)	universal (noun)
measuring stick consisting of a strip of wood or metal or plastic with a straight edge that is used for drawing straight lines and measuring lengths	coupling that connects two rotating shafts allowing freedom of movement in all directions
a principle or condition that customarily governs behavior	a behavioral convention or pattern characteristic of all members of a particular culture or of all human beings
something regarded as a normative example	(logic) a proposition that asserts something of all members of a class
a rule or law concerning a natural phenomenon or the function of a complex system	(linguistics) a grammatical rule (or other linguistic feature) that is found in all languages
a basic generalization that is accepted as true and that can be used as a basis for reasoning or conduct
(mathematics) a standard procedure for solving a class of mathematical problems
prescribed guide for conduct or action
(linguistics) a rule describing (or prescribing) a linguistic practice
directions that define the way a game or sport is to be conducted
any one of a systematic body of regulations defining the way of life of members of a religious order
dominance or power through legal authority
the duration of a monarch's or government's power

rule (adjective)	universal (adjective)
	adapted to various purposes, sizes, forms, operations
	of worldwide scope or applicability
	applicable to or common to all members of a group or set

rule (verb)	universal (verb)
keep in check
decide with authority
decide on and make a declaration about
mark or draw with a ruler
exercise authority over; as of nations
be larger in number, quantity, power, status or importance
have an affinity with; of signs of the zodiac