Theorems · Definition · linear algebra
CliffordAlgebraDualNumber.equiv
{R : Type u_1} → [inst : CommRing R] → CliffordAlgebra 0 ≃ₐ[R] DualNumber RThe clifford algebra over a 1-dimensional vector space with 0 quadratic form is isomorphic to the dual numbers.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- AlgEquivstatement · cited by 1,681
- QuadraticFormstatement · cited by 507
- CliffordAlgebrastatement and proof · cited by 309
- Algebra.ofIdproof · cited by 166
- CliffordAlgebra.ιproof · cited by 142
- DualNumberstatement · cited by 52
- TrivSqZeroExt.inrHomproof · cited by 16
- AlgEquiv.ofAlgHomproof · cited by 13
- CliffordAlgebra.liftproof · cited by 13
- DualNumber.liftproof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- CliffordAlgebraDualNumber.equiv_ιstatement · cited by 0
- CliffordAlgebraDualNumber.equiv_symm_epsstatement · cited by 0