Theorems · Inductive type · linear algebra

LinearMap.BilinForm.IsNonneg

{R : Type u_1} →
  {M : Type u_2} →
    [inst : CommSemiring R] →
      [inst_1 : AddCommMonoid M] → [inst_2 : Module R M] → [LE R] → LinearMap.BilinForm R M → Prop

A bilinear form B is nonnegative if for any x we have 0 ≤ B x x.

Defined in

Mathlib.LinearAlgebra.BilinearForm.Properties

Cited by

8 results in Mathlib

Foundations

Depth 34 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringAddCommMonoidModuleLE