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existence theorem
noun
, Mathematics.
- any theorem that asserts the existence of some specified mathematical object.
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Word History and Origins
Origin of existence theorem1
First recorded in 1895–1900
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Example Sentences
Their existence theorem is the proof that they are true when the fundamental ideas are considered as denoting some determinate subject matter, so that the axioms are developed into determinate propositions.
From Project Gutenberg
It follows from the logical law of contradiction that the proof of the existence theorem proves also the consistency of the axioms.
From Project Gutenberg
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