Theorems · Theorem · linear algebra

LinearMap.BilinForm.nondegenerate_congr_iff

∀ {R : Type u_1} {M : Type u_2} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M] {M' : Type u_8}
  [inst_3 : AddCommMonoid M'] [inst_4 : Module R M'] {B : LinearMap.BilinForm R M} (e : M ≃ₗ[R] M'),
  ((LinearMap.BilinForm.congr e) B).Nondegenerate ↔ B.Nondegenerate

Defined in

Mathlib.LinearAlgebra.BilinearForm.Properties

Cited by

1 results in Mathlib

Foundations

Depth 40 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringAddCommMonoidModuleAddCommMonoidModule