"The fullness" vs "fullness"

Question

When should one put a definite article before the word "fullness"?

UPD: To be precise, I have the following sentence.

The first condition is just (the ?) fullness of A.

Here fullness is some kind of property. What I also know is that I'd say:

Here we prove fullness of A.

Please, correct me if I'm wrong.

P.S. I'm also looking for a good consistent English grammar and punctuation book. Would be very grateful for any references.

Answer 1

Use fullness without the article to refer to the general concept of fullness:

A pleasant feeling of fullness usually comes after a hearty meal.

Use the definite article to refer to a specific instance of fullness:

The fullness I felt after the meal was most welcome, as I hadn't eaten for three days.