I'm currently writing my (math) thesis. Some properties of the objects I'm studying are used often and are relatively elementary. So, I would like to state them once and then avoiding referring to them each time I need as I believe it would disrupt the reading. So, I have the following sentences at some point:
We recall useful properties of A and B. In order to keep a smooth reading, we use these properties in most of the proofs below without explicitly referring to them.
The bold part feels like bad english to me, so I'm wondering what would be a better formulation for it.