Sentence examples similar to previous assertion holds true from inspiring English sources

In fact, we prove that an even stronger assertion holds true.

On Γ F the assertion holds true due to (14).

A similar assertion holds true if we switch I j and I j in the above inequalities.

The following assertions hold true.

Then the following assertions hold true.

Let be a subset of a smooth Banach space and Then the following assertions hold true.

Then the following assertions hold true. 1. (int_{a}^{a} {f(t diamondsuit t} =0);   2.

Then the following assertions hold true: (i) (operatorname{ind}(m^{ -1)})=i).

Under the assumptions of Theorem  4.2, the following assertions hold true.

Then the mapping is well defined and the following assertions hold true.

If h and (f_{j} ) are ♢-integrable on ([a,b]_{mathbb{T}} ), then the following assertions hold true.