Commit 2021-10-18 11:21 e8413250
View on Github →feat(linear_algebra/dfinsupp): cardinality lemmas for complete_lattice.independent
(#9705)
If p
is a system of independent subspaces of a vector space V
, and v
is a system of nonzero vectors each contained in the corresponding subspace, then v
is linearly independent.
Consequently, if p
is a system of independent subspaces of V
, then no more than dim V
many can be nontrivial.