Theorems · Theorem · linear algebra
CliffordAlgebra.even.lift.aux_apply
∀ {R : Type u_1} {M : Type u_2} [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M]
{Q : QuadraticForm R M} {A : Type u_3} [inst_3 : Ring A] [inst_4 : Algebra R A] (f : CliffordAlgebra.EvenHom Q A)
(x : ↥(CliffordAlgebra.even Q)),
(CliffordAlgebra.even.lift.aux f) x = (((CliffordAlgebra.foldr Q (CliffordAlgebra.even.lift.fFold✝ f) ⋯) (1, 0)) ↑x).1- Cited by
- 2 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · 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
- Algebrastatement and proof · cited by 11,388
- LinearMapstatement · cited by 10,215
- Ringstatement and proof · cited by 7,463
- Submodulestatement · cited by 7,192
- Subalgebrastatement · cited by 1,353
- QuadraticFormstatement and proof · cited by 507
- CliffordAlgebrastatement and proof · cited by 309
Cited by2
Results whose statement or proof uses this declaration.
- CliffordAlgebra.even.lift.aux_ιproof · cited by 1
- CliffordAlgebra.even.lift.aux_mulproof · cited by 0