Sentence examples for proves the uniqueness from inspiring English sources

which tends to zero as m → ∞ for all x1, ···, x n ∈ A. Hence, we can conclude that H x1, ···, x n ) = T x1, ···, x n ) for all x1, ···, x n ∈ A. This proves the uniqueness of H. Thus, the mapping H : A→B is a unique C*-ternary algebra n-homomorphism satisfying (2.6).

This proves the uniqueness of H. Thus the mapping (H : Arightarrow B) is a unique (C^ -ternary algebra homomorphism satisfying (5).

This proves the uniqueness of A. Thus the mapping A : X → Y is a unique Cauchy additive mapping satisfying (2.5).

This proves the uniqueness of C. Thus the mapping C : Y → X is a unique cubic mapping satisfying (4.2). □.

This proves the uniqueness of A. Thus the mapping A : Y → X is a unique additive mapping satisfying (2.2).

This proves the uniqueness of A. So, the mapping A : X → Y is a unique additive mapping satisfying (3.5).

Finally, we prove the uniqueness.

Let us prove the uniqueness.

Now we prove the uniqueness.

Next, we prove the uniqueness.

We next prove the uniqueness of solution.