Sentence examples for so the assertion from inspiring English sources

and so the assertion holds.

So, the assertion follows from Theorem 2.6.

Thus, (operatorname{Fix}(T ) = {z}) and so the assertion (a) holds true.

Hence, if (|u|_{H_{0}^{s}(Omega)}to+infty), then (I u to-infty ), sI u to-infty by asincetion, and so the assertion of Lemu> 4.7 follows.

By the same reasoning as above, one has that | M / M ′ | is an even number, a contradiction; and so the assertion holds.

Considering that ℱ is bounded, we take Δ n = sup p ∈ F ∥ x n − p ∥ 2, θ n = β n ( γ n Δ n + c n ) in (3.7), so the assertion of Step 1 holds.

So for the assertion to be true, it must be true relative to a domain of discourse which contains as a sub-domain some whole of which both w1 and w2 are part.

A discrete Helmholtz decomposition in  [30] leads to discrete reliability and so restricts the assertion to simply connected domains Ω for d = 2.  □ Stability (A1) and reduction (A2), Efficiency  (4.6) plus the discrete reliability (A4) and the quasi-orthogonality follow as in Section  5.2.

A discrete Helmholtz decomposition in  [30] leads to discrete reliability and so restricts the assertion to simply connected domains Ω for d = 2.  □ Consequence 6.8 The adaptive algorithm leads to robust convergence with quasi-optimal rate in the sense of   Theorems  4.1 and 4.5.

Much of the argument revolved around whether reasonable investors would want to know about false and outlandish assertions like the one about Satanism so long as the assertions might affect the price of securities.

So, the three assertions of the lemma are proved.