Sentence examples for using the previous proposition from inspiring English sources

Using the previous proposition, we have the following theorem.

Now, we use the previous proposition to complete the proof.

Using the previous example, search for television.

In the proof of the previous proposition, we used some interesting properties of the iterates.

An immediate consequence of the previous proposition is the following corollary, of very frequent use in our work.

Note that Proposition A.3 is also a straightforward consequence of Claim (vi) in the previous proposition.

The following example illustrates the previous proposition.

The following corollary is a consequence of the previous proposition.

This is a contradiction to the previous proposition.  .

This has been done in the previous proposition.

This is a contradiction to the previous proposition.