Theorems · Theorem · ring theory
CliffordAlgebra.reverse.map_mul
∀ {R : Type u_1} [inst : CommRing R] {M : Type u_2} [inst_1 : AddCommGroup M] [inst_2 : Module R M]
{Q : QuadraticForm R M} (a b : CliffordAlgebra Q),
CliffordAlgebra.reverse (a * b) = CliffordAlgebra.reverse b * CliffordAlgebra.reverse a- Cited by
- 8 results in Mathlib
- Foundations
- Depth 66 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 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
- LinearMapstatement · cited by 10,215
- map_mulproof · cited by 1,137
- QuadraticFormstatement and proof · cited by 507
- CliffordAlgebrastatement and proof · cited by 309
- CliffordAlgebra.reversestatement and proof · cited by 50
- MulOpposite.op_injectiveproof · cited by 37
- CliffordAlgebra.reverseOpproof · cited by 11
Cited by8
Results whose statement or proof uses this declaration.
- CliffordAlgebra.left_inductionproof · cited by 8
- CliffordAlgebraQuaternion.toQuaternion_starproof · cited by 1
- CliffordAlgebra.reverse_comp_involuteproof · cited by 1
- CliffordAlgebraComplex.reverse_applyproof · cited by 1
- CliffordAlgebraRing.reverse_applyproof · cited by 1
- CliffordAlgebra.foldl_mulproof · cited by 1
- CliffordAlgebra.contractRight_mul_ιproof · cited by 0
- CliffordAlgebra.coe_toEven_reverse_involuteproof · cited by 0