Antonym of "deepen"
Solution 1:
Shallow can be used as a transitive or intransitive verb (who knew!).
To be honest, I haven't heard it used very often (I would normally say that something was shallow, not that it shallowed), but it doesn't sound very strange to me either.
Solution 2:
For this context I suggest "lessen":
Putting the anvil on the mattress deepens the depression in it, but removing the anvil lessens it.
Solution 3:
Deepen has two meanings.
- Deepen = Dig out
Antonym: Fill in
- Deepen = intensify
Antonym: weaken
In the example above you can use the word mount or hollow out.
Solution 4:
for the example you've given,
removing the anvil lightens the depression?