Theorems · Definition · ring theory
TensorPower.toTensorAlgebra
{R : Type u_1} →
{M : Type u_2} →
[inst : CommSemiring R] →
[inst_1 : AddCommMonoid M] → [inst_2 : Module R M] → {n : ℕ} → TensorPower R n M →ₗ[R] TensorAlgebra R MThe canonical embedding from a tensor power to the tensor algebra
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- RingHom.idstatement · cited by 18,349
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- TensorAlgebrastatement · cited by 81
- TensorPowerstatement · cited by 40
- PiTensorProduct.liftproof · cited by 30
- TensorAlgebra.tprodproof · cited by 5
Cited by6
Results whose statement or proof uses this declaration.
- TensorAlgebra.ofDirectSumproof · cited by 6
- TensorPower.toTensorAlgebra_tprodstatement · cited by 3
- TensorAlgebra.ofDirectSum_of_tprodproof · cited by 2
- TensorPower.toTensorAlgebra_gOnestatement · cited by 1
- TensorPower.toTensorAlgebra_gMulstatement and proof · cited by 0
- TensorPower.toTensorAlgebra_galgebra_toFunstatement and proof · cited by 0