Sentence examples for propositions are given from inspiring English sources

Proof of all the propositions are given in "Appendix".

Proofs of all the Lemmas and propositions are given in Appendix 1.

Proofs of the following theorems and propositions are given in Sect.

To improve the design process of such a software several propositions are given: a four layers model, new steps in the time schedule, a Port mechanism to support easy hardware handling, and an extended framework.

I summarize the possible mappings that ACME would construct involving elements of the four propositions in Figure 2. Representations of propositions are given in the top and left margins.

Finally, a comprehensive discussion is provided and some propositions is given as a foundation for the proposed management recommendations.

The following proposition is given in [6].

The following proposition is given in [13]: Proposition 1.15.

Where the import of a proposition is given by connotation, truth or falsity is determined by denotation.

The following proposition is given in the results of Suantai et al.

The following proposition was given by Vieira in [20] (see Proposition 5.6 in [20]), but we provide its proof using Lemma 3.3 and Lemma 3.4.