Theorems · Theorem · linear algebra

LinearMap.BilinForm.comp_symmCompOfNondegenerate_apply

∀ {V : Type u_5} {K : Type u_6} [inst : Field K] [inst_1 : AddCommGroup V] [inst_2 : Module K V]
  [inst_3 : FiniteDimensional K V] (B₁ : LinearMap.BilinForm K V) {B₂ : LinearMap.BilinForm K V} (b₂ : B₂.Nondegenerate)
  (v : V), B₂ ((B₁.symmCompOfNondegenerate B₂ b₂) v) = B₁ v

Defined in

Mathlib.LinearAlgebra.BilinearForm.Properties

Cited by

1 results in Mathlib

Foundations

Depth 124 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldAddCommGroupModuleFiniteDimensional