Confused on definition of Equity Value and Enterprise Value?

Hi All,

So, a guide I'm using offers two definitions of Equity Value and Enterprise Value.

One definition is as follows:

Equity Value = Value to Equity Investors

Enterprise Value = Value to Equity Investors + Value to Debt Investors + Value to Preferred Investors (and possibly others)

I completely understand those definitions, and that's how I have always thought about it.

However, another definition it gives for each is:

Equity Value = Value of Core-Business Assets + Value of Non-Core-Business Assets

Enterprise Value = Value of Core-Business Assets

I have no clue how to interpret these definitions. I always viewed equity value as a subsection of enterprise value, but these definitions seem to imply that equity value should be higher? Very confused.

Thank you so much for any help.