Theorems · Theorem · linear algebra
CliffordAlgebra.star_def
∀ {R : Type u_1} [inst : CommRing R] {M : Type u_2} [inst_1 : AddCommGroup M] [inst_2 : Module R M]
{Q : QuadraticForm R M} (x : CliffordAlgebra Q), star x = CliffordAlgebra.reverse (CliffordAlgebra.involute x)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 74 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.
- DFunLike.coestatement · cited by 62,936
- 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
- LinearMapstatement · cited by 10,215
- AlgHomstatement · cited by 3,236
- Star.starstatement · cited by 1,082
- QuadraticFormstatement and proof · cited by 507
- CliffordAlgebrastatement and proof · cited by 309
- CliffordAlgebra.reversestatement · cited by 50
- CliffordAlgebra.involutestatement · cited by 36
Cited by3
Results whose statement or proof uses this declaration.
- CliffordAlgebra.star_smulproof · cited by 0
- CliffordAlgebra.star_ιproof · cited by 0
- CliffordAlgebra.star_algebraMapproof · cited by 0