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Wikisanakirja (9)

n (countable) An idea or a plan offered.
n (countable|mathematics) An assertion so formulated that it can be considered true or false.
n (countable|mathematics) As a special case, textbooks often, and papers sometimes, label an assertion which is provably true, but not important enough to be a theorem, a proposition. Normally this is part of a numerical reference system ('Proposition 3.2', 'Lemma 3.3', 'Theorem 3.4')
v (transitive) To propose a plan to (someone).
v (transitive) To propose some illicit behaviour to (someone). Often sexual in nature.