Theorems · Definition · ring theory
CliffordAlgebra.reverseOp
{R : Type u_1} →
[inst : CommRing R] →
{M : Type u_2} →
[inst_1 : AddCommGroup M] →
[inst_2 : Module R M] → {Q : QuadraticForm R M} → CliffordAlgebra Q →ₐ[R] (CliffordAlgebra Q)ᵐᵒᵖCliffordAlgebra.reverse as an AlgHom to the opposite algebra
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 64 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.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- 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.compproof · cited by 1,642
- LinearEquiv.toLinearMapproof · cited by 1,171
- MulOppositestatement · cited by 1,135
- QuadraticFormstatement and proof · cited by 507
- CliffordAlgebrastatement · cited by 309
- CliffordAlgebra.ιproof · cited by 142
- MulOpposite.opLinearEquivproof · cited by 44
Cited by13
Results whose statement or proof uses this declaration.
- CliffordAlgebra.reverseproof · cited by 50
- CliffordAlgebra.reverse.commutesproof · cited by 10
- CliffordAlgebra.reverse.map_mulproof · cited by 8
- CliffordAlgebra.reverseOpEquivproof · cited by 3
- CliffordAlgebra.reverseOp_ιstatement · cited by 2
- CliffordAlgebra.submodule_map_pow_reverseproof · cited by 2
- CliffordAlgebra.reverse.map_oneproof · cited by 1
- CliffordAlgebra.submodule_map_mul_reverseproof · cited by 1
- CliffordAlgebra.toBaseChange_comp_reverseOpstatement and proof · cited by 1
- CliffordAlgebra.reverseOpEquiv_applystatement · cited by 0
- CliffordAlgebra.toBaseChange_reverseproof · cited by 0
- CliffordAlgebra.unop_reverseOpstatement · cited by 0