Mathlib Map

Theorems · Definition · linear algebra

LinearMap.IsRefl

{R : Type u_1} →
  {R₁ : Type u_2} →
    {M : Type u_5} →
      {M₁ : Type u_6} →
        [inst : CommSemiring R] →
          [inst_1 : AddCommMonoid M] →
            [inst_2 : Module R M] →
              [inst_3 : CommSemiring R₁] →
                [inst_4 : AddCommMonoid M₁] →
                  [inst_5 : Module R₁ M₁] → {I₁ I₂ : R₁ →+* R} → (M₁ →ₛₗ[I₁] M₁ →ₛₗ[I₂] M) → Prop

The proposition that a sesquilinear map is reflexive

Defined in
Mathlib.LinearAlgebra.SesquilinearForm.Basic
Cited by
16 results in Mathlib
Foundations
Depth 32 from the axioms · uses propext, Quot.sound
Assumes
CommSemiringAddCommMonoidModuleCommSemiringAddCommMonoidModule

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by18

Results whose statement or proof uses this declaration.