Theorems · Definition · ring theory

CliffordAlgebra.reverseOpEquiv

{R : Type u_1} →
  [inst : CommRing R] →
    {M : Type u_2} →
      [inst_1 : AddCommGroup M] →
        [inst_2 : Module R M] → {Q : QuadraticForm R M} → CliffordAlgebra Q ≃ₐ[R] (CliffordAlgebra Q)ᵐᵒᵖ

CliffordAlgebra.reverseEquiv as an AlgEquiv to the opposite algebra

Defined in: Mathlib.LinearAlgebra.CliffordAlgebra.Conjugation
Cited by: 3 results in Mathlib
Foundations: Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing AddCommGroup Module

Mathlib docs Source Loogle LeanSearch

Around this declaration

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

Cites11

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

DFunLike.coeproof · cited by 62,936
Modulestatement and proof · cited by 20,661
CommRingstatement and proof · cited by 17,173
AddCommGroupstatement and proof · cited by 12,871
AlgEquivstatement · cited by 1,681
MulOppositestatement · cited by 1,135
QuadraticFormstatement and proof · cited by 507
CliffordAlgebrastatement · cited by 309
AlgEquiv.ofAlgHomproof · cited by 13
CliffordAlgebra.reverseOpproof · cited by 11
AlgHom.opCommproof · cited by 2

Cited by3

Results whose statement or proof uses this declaration.

CliffordAlgebra.reverse_involutiveproof · cited by 3
CliffordAlgebra.reverseOpEquiv_applystatement and proof · cited by 0
CliffordAlgebra.reverseOpEquiv_opCommstatement · cited by 0