Sentence examples for guarantees the existence from inspiring English sources

(Premise 0 guarantees the existence of such a set).

Given any object x, (P.7) guarantees the existence of some parthood chain that bottoms out at an atom.

First, we state a theorem that guarantees the existence of a solution.

Theorem 17 guarantees the existence and uniqueness of such a solution.

(minimal (c.c).) of S. Lemma 3.4 guarantees the existence of the maximal (c.c).

Note that Theorem 29 guarantees the existence of a fixed point but not the uniqueness.

Proposition 8.21 of Cont and Tankov [14] guarantees the existence and uniqueness of (epsilon(L)).

Proof Theorem 4.1 guarantees the existence of a unique solution u ∈ K r for problem (11).

This guarantees the existence of a Hopf bifurcation around the equilibrium point (E_(x_, y_ )).

The following theorem guarantees the existence of solution for the BVP (1.3).

Thus, the Banach contraction guarantees the existence of a fixed point.