Sentence examples for preceding proposition from inspiring English sources
The subsequent examples apply the preceding proposition.
The following result follows easily from the preceding proposition.
The preceding proposition has the following two complementary implications.
It follows from the preceding proposition that (uinoperatorname{End}(T)). □.
The next result is an immediate consequence of the preceding proposition.
According to the preceding proposition, the following system for the undetermined coefficients is obtained.
If a proposed proposition was unconnected with any of the preceding propositions, the respondent would respond with agreement, rejection or doubt depending on what he understood the actual state of affairs in the world to be.
The proof of this statement is a total analogy with the preceding proof of Proposition 3.
It follows essentially the same track as the preceding proof of Proposition 5 about uniqueness and, it just takes the different coefficient functions into consideration.
Because private equity had been booming in the preceding years, the proposition of investing in a KKR fund appeared attractive to certain investors.
The preceding remarks are summarized in Proposition 2. The buyer's profits under the optimal restrictive contract strictly exceed her profits under the optimal basic contract.
