Invest with / invest in
To invest someone with something is to give them a particular quality.
- These animals have been invested with an ability to survive in extreme climates.
To invest someone with something is to give them power, authority or influence.
- The Black Cats are invested with the authority to protect the minister.
To invest in something is to buy it or to spend money on something that will be profitable or useful in the long time.
- He plans to invest in real estate.
- I think I should invest in a new laptop.
- The government should invest in education.
If you are considered an authority on something, you are an expert in that subject.
- He is an authority on classical music.
- This book is acknowledged to be the authority on idiomatic expressions.
- Parents have legal authority over their children. (= Parents have a legal right to make decisions that affect their children.)
Proceed with / to
To proceed with something is to continue something.
- The local council plans to proceed with its decision to demolish the old fort.
To proceed to is to move in a particular direction.
- Passengers for flight 303 should proceed to Gate 32.
To proceed to is to move to the next stage in a series of events.
- The Italian team will proceed to the semifinals.
Impressed with / by
Impress can be used with by and with. There is little or no difference of meaning.
- I was impressed with / by her knowledge.
If you have a genius for something, you have a natural talent for doing it.
- She has a genius for choosing the right words.
- Napoleon had a genius for military tactics.