Theorems · Theorem · linear algebra

LinearMap.BilinForm.IsSymm.restrict

∀ {R : Type u_1} {M : Type u_2} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
  {B : LinearMap.BilinForm R M}, B.IsSymm → ∀ (W : Submodule R M), (B.restrict W).IsSymm

The restriction of a symmetric bilinear form on a submodule is also symmetric.

Defined in

Mathlib.LinearAlgebra.BilinearForm.Properties

Cited by

0 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringAddCommMonoidModule