Sentence examples similar to but there exists a point from inspiring English sources

Proof Suppose that x ∈ RM ( T, K ), but x ∉ S ( T, K ), so there exists a point y ∈ K such that 〈 T x, η ( x, y ) 〉 < 0. Since Tx is weak∗ compact-valued, there exists ε > 0 such that 〈 T x, η ( x, y ) 〉 < − ε.

From, there exists a point such that.

Hence, by Lemma 2.8, there exists a point such that.

Then and there exists a point such that for, (2.39).

By completeness of, there exists a point, such that.

By Lemma 2.8, there exists a point such that.

By (H.E), From, there exists a point such that.

Otherwise, if, then there exists a point such that.

Otherwise, if, then there exists a point such that (2.6).

(f) Suppose, to the contrary, that for the given distinct points and there exists a point.

Suppose, to the contrary, that for the given distinct points and there exists a point.