Theorems · Theorem · ring theory
CliffordAlgebra.evenOdd_map_involute
∀ {R : Type u_1} [inst : CommRing R] {M : Type u_2} [inst_1 : AddCommGroup M] [inst_2 : Module R M]
(Q : QuadraticForm R M) (n : ZMod 2),
Submodule.map CliffordAlgebra.involute.toLinearMap (CliffordAlgebra.evenOdd Q n) = CliffordAlgebra.evenOdd Q n- Cited by
- 1 results in Mathlib
- Foundations
- Depth 78 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.
Cites18
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
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- Submodulestatement · cited by 7,192
- iSupproof · cited by 2,415
- ZModstatement and proof · cited by 1,024
- LinearMap.rangeproof · cited by 893
- Submodule.mapstatement · cited by 614
- QuadraticFormstatement and proof · cited by 507
- CliffordAlgebrastatement · cited by 309
- AlgHom.toLinearMapstatement and proof · cited by 254
Cited by1
Results whose statement or proof uses this declaration.
- CliffordAlgebra.evenOdd_comap_involuteproof · cited by 1