Proposition 6
Tag 05ND, permanent. Cite it as [Bourbaki, Tag 05ND].
Algebra, chapter II, § 2. Modules of linear mappings. Duality
Let M, N be two subsets of E such that M ⊂ N; if M' and N' are the submodules of E* orthogonal to M and N respectively, then N' ⊂ M'.
Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.
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Cites
Nothing.