dig in vs eat

dig in and eat both are verbs.

Word	Noun	Adjective	Verb	Adverb
dig in	No	No	Yes	No
eat	No	No	Yes	No

As verbs, eat is a hypernym of dig in; that is, eat is a word with a broader meaning than dig in:

dig in (verb)	eat (verb)
eat heartily	cause to deteriorate due to the action of water, air, or an acid
occupy a trench or secured area	take in solid food
	eat a meal; take a meal
	take in food; used of animals only
	use up (resources or materials)
	worry or cause anxiety in a persistent way