Theorems · Theorem · ring theory
CliffordAlgebra.map_id
∀ {R : Type u_1} [inst : CommRing R] {M₁ : Type u_4} [inst_1 : AddCommGroup M₁] [inst_2 : Module R M₁]
(Q₁ : QuadraticForm R M₁), CliffordAlgebra.map (QuadraticMap.Isometry.id Q₁) = AlgHom.id R (CliffordAlgebra Q₁)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingAddCommGroupModule
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- AlgHomstatement · cited by 3,236
- LinearMap.extproof · cited by 844
- QuadraticFormstatement and proof · cited by 507
- CliffordAlgebrastatement · cited by 309
- AlgHom.idstatement · cited by 196
- CliffordAlgebra.hom_extproof · cited by 17
- CliffordAlgebra.mapstatement · cited by 15
- QuadraticMap.Isometry.idstatement and proof · cited by 11
- CliffordAlgebra.map_apply_ιproof · cited by 7
Cited by3
Results whose statement or proof uses this declaration.
- CliffordAlgebra.leftInverse_map_of_leftInverseproof · cited by 1
- CliffordAlgebra.equivOfIsometry_reflproof · cited by 0
- ExteriorAlgebra.map_idproof · cited by 0