anteater vs ant bear

anteater and ant bear both are nouns.

Word	Noun	Adjective	Verb	Adverb
anteater	Yes	No	No	No
ant bear	Yes	No	No	No

As nouns, ant bear is a hyponym of anteater; that is, ant bear is a word with a more specific, narrower meaning than anteater:

anteater: any of several tropical American mammals of the family Myrmecophagidae which lack teeth and feed on ants and termites
ant bear: large shaggy-haired toothless anteater with long tongue and powerful claws; of South America

As nouns, anteater and ant bear are synonyms defined as:

anteater and ant bear: nocturnal burrowing mammal of the grasslands of Africa that feeds on termites; sole extant representative of the order Tubulidentata

Other synonyms of anteater include aardvark, Orycteropus afer.

anteater (noun)	ant bear (noun)
any of several tropical American mammals of the family Myrmecophagidae which lack teeth and feed on ants and termites	nocturnal burrowing mammal of the grasslands of Africa that feeds on termites; sole extant representative of the order Tubulidentata
nocturnal burrowing mammal of the grasslands of Africa that feeds on termites; sole extant representative of the order Tubulidentata	large shaggy-haired toothless anteater with long tongue and powerful claws; of South America
a burrowing monotreme mammal covered with spines and having a long snout and claws for hunting ants and termites; native to Australia
a burrowing monotreme mammal covered with spines and having a long snout and claws for hunting ants and termites; native to New Guinea
toothless mammal of southern Africa and Asia having a body covered with horny scales and a long snout for feeding on ants and termites
small Australian marsupial having long snout and strong claws for feeding on termites; nearly extinct