Theorems · Theorem · linear algebra

LinearMap.BilinForm.toLin_restrict_ker_eq_inf_orthogonal

∀ {V : Type u_5} {K : Type u_6} [inst : Field K] [inst_1 : AddCommGroup V] [inst_2 : Module K V]
  (B : LinearMap.BilinForm K V) (W : Subspace K V),
  B.IsRefl → Submodule.map (Submodule.subtype W) (LinearMap.domRestrict B W).ker = W ⊓ B.orthogonal ⊤

Defined in

Mathlib.LinearAlgebra.BilinearForm.Orthogonal

Cited by

0 results in Mathlib

Foundations

Depth 47 from the axioms · uses propext, Quot.sound

Assumes

FieldAddCommGroupModule