Sentence examples for contradiction arguments from inspiring English sources

The proof is listed on contradiction arguments.

To see this, our approach is based on the contradiction arguments.

The proof of Theorem 1.2 is based on the contradiction arguments.

With the help of Lemmas 2.3, 2.6-2.9 and the local existence theorem, we can complete the proof of Theorem 1.2 by the contradiction arguments.

(The upper bound of g ( t ) can be obtained by contradiction arguments and the monotonicity of g ( t ) follows immediately as the upper bound is derived).

We use a contradiction argument.

We prove the theorem by a contradiction argument.

So let us try to imitate the contradiction argument used in Sect.

First, by a contradiction argument we claim that I ( u ( t ) ) < 0, (4.18).

It follows from the symmetry of all and Definition 2.3 by a simple contradiction argument.

Therefore their idea is to reduce the general case to the case of nearly spherical sets via a contradiction argument.