It is common in mathematics in English to use the words assume and suppose differently, that is, to use the word assume when dealing with a reduction or case, while using the word suppose when looking for a contradiction. For example, one may use the phrases "Thus, it can be assumed that..." and "For the sake of contradiction, suppose that... ."
I have seen the word angenommen used in mathematics in German, but I am not sure whether it encompasses what both assume and suppose mean in English or not. Does it? Or is there another word that is also used?
I am aware of the words annehmen and ausgegangen, but I have not seen them in mathematical texts before.