Commit 2020-08-19 13:32 15cacf0e
View on Github →feat(analysis/normed_space/real_inner_product): orthogonal subspace order (#3863)
Define the Galois connection between submodule ℝ α
and its
order_dual
given by submodule.orthogonal
. Thus, deduce that the
inf of orthogonal subspaces is the subspace orthogonal to the sup (for
three different forms of inf), as well as replacing the proof of
submodule.le_orthogonal_orthogonal
by a use of
galois_connection.le_u_l
.