Meaning of existence proof in English:

existence proof

noun

Mathematics
  • A proof establishing the existence of a mathematical entity.

    An existence proof can be constructive, in which case the existence of the entity in question is explicitly demonstrated, or non-constructive, in which case its existence is inferred as a consequence of other mathematical statements which are known to be true.

Origin

Late 19th century. Perhaps after German Existenzbeweis.