armorial bearing vs heraldry

armorial bearing and heraldry both are nouns.

Word	Noun	Adjective	Verb	Adverb
armorial bearing	Yes	No	No	No
heraldry	Yes	No	No	No

As nouns, heraldry is a hypernym of armorial bearing; that is, heraldry is a word with a broader meaning than armorial bearing:

armorial bearing: heraldry consisting of a design or image depicted on a shield
heraldry: emblem indicating the right of a person to bear arms

armorial bearing (noun)	heraldry (noun)
heraldry consisting of a design or image depicted on a shield	emblem indicating the right of a person to bear arms
	the study and classification of armorial bearings and the tracing of genealogies