Sentence examples for their proofs from inspiring English sources

All three mathematicians were awarded a Fields Medal following their proofs.

The watchers, interrogated, said they were tax collectors; were politely requested to show their proofs and showed their police cards.

Their proofs are obvious.

Here we omit their proofs.

Please see [41] for their proofs.

Their proofs are postponed to the Appendix.

Their proofs can be found in [24].

However their proofs are not helpful in practice.

First, some useful theorems and their proofs are given.

Their proofs are straightforward and will be omitted.

However, there exists some problem in their proofs.