Theorems · Definition · group theory
Representation.TensorProduct.lid
(A : Type u_1) →
{G : Type u_2} →
{W : Type u_4} →
[inst : CommSemiring A] →
[inst_1 : Monoid G] →
[inst_2 : AddCommMonoid W] →
[inst_3 : Module A W] → (σ : Representation A G W) → ((Representation.trivial A G A).tprod σ).Equiv σThe Equiv between representations induced from TensorProduct.lid.
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- Monoidstatement and proof · cited by 3,887
- TensorProductstatement · cited by 2,545
- Representationstatement and proof · cited by 396
- Representation.tprodstatement · cited by 103
- TensorProduct.lidproof · cited by 96
- Representation.Equivstatement · cited by 60
- Representation.trivialstatement · cited by 34
- Representation.Equiv.mkproof · cited by 9
Cited by7
Results whose statement or proof uses this declaration.
- Representation.TensorProduct.lid_applystatement · cited by 0
- Representation.LinearizeMonoidal.leftUnitor_δstatement · cited by 0
- Representation.TensorProduct.lid_symm_applystatement · cited by 0
- Representation.LinearizeMonoidal.μ_leftUnitorstatement and proof · cited by 0
- Rep.hom_hom_leftUnitorstatement · cited by 0
- Representation.TensorProduct.toLinearMap_lidstatement · cited by 0
- Rep.hom_inv_leftUnitorstatement · cited by 0