Sentence examples for our proofs from inspiring English sources

But Mr Hartley rebuffed all our proofs and, when the bell rang, we trudged out wearily, as if we had fought for our lives.

Our proofs are elementary.

All our proofs are analytic.

Next, we start to present our proofs.

Our proofs are different from theirs.

Our proofs are mainly based on continuation methods.

The following lemma and results are useful for our proofs.

Proof We divide our proofs into several steps as follows.

The following lemmas are useful in our proofs.

The following useful auxiliary result is crucial to our proofs.

The following lemmas are crucial to our proofs.