Theorems · Theorem · linear algebra

LinearMap.IsRefl.nondegenerate_iff_separatingLeft

∀ {R : Type u_1} {M : Type u_5} {M₁ : Type u_6} [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M]
  [inst_3 : AddCommGroup M₁] [inst_4 : Module R M₁] {B : M →ₗ[R] M →ₗ[R] M₁},
  B.IsRefl → (B.Nondegenerate ↔ B.SeparatingLeft)

Defined in

Mathlib.LinearAlgebra.SesquilinearForm.Basic

Cited by

9 results in Mathlib

Foundations

Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModuleAddCommGroupModule