The proof of existence theorem is given.

证明了存在定理。

youdao

A sufficient condition that the complementarity problem has solution is given in this paper, the proof of existence is constructive.

本文给出互补问题解的存在性的一个充分条件，其证明是构造性的。

youdao

This paper gives a constructive proof of existence of period of polynomials infinite field. Using it we can also find the period of polynomials.

本文给出有限域上多项式周期存在的构造性证明，利用它可求出多项式的周期。

youdao

If not exactly proof of the existence of God, this does at least suggest that even fallen companies can have some hope of resurrection.

ECONOMIST: Innovative things to do with a banana

The thought greets Vince Camden as he sits up in bed, frantic, casting around a dark bedroom for proof of his existence and finding only props: nightstand, dresser, ashtray, clock.

NPR: Excerpt: 'Citizen Vince'

Evidence, but not proof, of its existence was found by two earlier missions.

ECONOMIST: Spaceflight