Sentence examples for usage of proposition from inspiring English sources

Proof The verification is quite analogous as in Theorem 5.1 when just replacing the usage of Proposition 4.1 by Proposition 4.2.

In his efforts to show that all propositions can be shaped into [A has b], Bolzano makes extensive usage of such symbolic ideas (and also of ideas of propositions) as subject ideas of propositions, as it is exemplified under ii, iii and iv above.

Proof of proposition 1.

Following the proof of Proposition 1, lower price results in higher throughput, and thus the throughput under the congestion pricing policy is more than that under the usage-based pricing policy.

Newton's derivation of Proposition 43 depends on his Proposition 2, derived earlier in the Principia.

Therefore, the conditions of Proposition 3 are more constraining than the ones of Proposition 1.

Hence, the solution of Proposition 3 is more conservative than the one of Proposition 1.

Therefore all the claims of Proposition 4.6 are satisfied.

This section shows the proof of Proposition 1.

Even if Bolzano makes extensive usage of indexicals in the expression of ideas and propositions, there is no place for indexicals within his World 3: There are neither indexical ideas nor indexical propositions; what sometimes seems to be an indexical idea or proposition is in fact merely an indexical expression of an idea or proposition.

He made the most fruitful usage of this method, however, by applying it to whole propositions.