Sentence examples for next propositions from inspiring English sources

From estimate (3.8) the next propositions follow.

The next propositions elucidate the emergence of negative coefficients.

The next propositions deal with the case of (betaleq n-1).

The next propositions describe the relation between D-sets and R-sets.

end{aligned}The next proposition follows then from Proposition 4.20.

The next proposition is a direct corollary of Proposition 4.15.

The next proposition shows that being σ-above is propagated by σ, π, and μ: Proposition 4. Let (a, b) be σ-above.

The next proposition can be straightforwardly proved.

Similarly, we can prove the next proposition.

The next proposition is a consequence of Corollary 3.

We establish this fact in the next proposition.