Proposition (mathematics)
- Proposition (mathematics)
In mathematics, the term proposition is used for a proven statement that is of more than passing interest, but not sufficient interest to call the result a "theorem". Unlike the term "lemma", which is used for proven statements used as stepping stones for further theorems and typically not having a simple proof, the term "proposition" is often used for statements that are easy consequences of earlier definitions or theorems, possibly presented without proof; in such cases it is a synonym of "corollary". See also .
In mathematical logic, the term "proposition" is also used as an abbreviation for propositional formula. This use of the term does not imply or suggest that the formula is provable or true.
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