Theorems · Theorem · ring theory
CliffordAlgebra.submodule_map_pow_reverse
∀ {R : Type u_1} [inst : CommRing R] {M : Type u_2} [inst_1 : AddCommGroup M] [inst_2 : Module R M]
(Q : QuadraticForm R M) (p : Submodule R (CliffordAlgebra Q)) (n : ℕ),
Submodule.map CliffordAlgebra.reverse (p ^ n) = Submodule.map CliffordAlgebra.reverse p ^ nLike Submodule.map_pow
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 78 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.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- Submodulestatement and proof · cited by 7,192
- LinearEquiv.symmproof · cited by 1,461
- LinearEquiv.toLinearMapproof · cited by 1,171
- Submodule.mapstatement and proof · cited by 614
- QuadraticFormstatement and proof · cited by 507
- CliffordAlgebrastatement and proof · cited by 309
- AlgHom.toLinearMapproof · cited by 254
- Submodule.map.congr_simpproof · cited by 75
Cited by2
Results whose statement or proof uses this declaration.
- CliffordAlgebra.evenOdd_map_reverseproof · cited by 1
- CliffordAlgebra.submodule_comap_pow_reverseproof · cited by 0