The proof of existence theorem is given.

证明了存在定理。

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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。

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This proof of existence, appearing in an upcoming issue of The Astrophysical Journal Letters, does nothing to reveal what dark matter really is, however.

暗物质存在的证明资料发表在即将出版的一期《天体物理学杂志通讯》上。然而，该资料并没有揭示暗物质到底是什么。

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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