Theorems · Definition · category theory
CategoryTheory.Linear.rightComp
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.Preadditive C] →
(R : Type w) →
[inst_2 : Semiring R] →
[inst_3 : CategoryTheory.Linear R C] → (X : C) → {Y Z : C} → (Y ⟶ Z) → (X ⟶ Y) →ₗ[R] X ⟶ ZComposition by a fixed right argument as an R-linear map.
- Defined in
- Mathlib.CategoryTheory.Linear.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- RingHom.idstatement · cited by 18,349
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement · cited by 10,215
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- CategoryTheory.Linearstatement and proof · cited by 131
Cited by9
Results whose statement or proof uses this declaration.
- CategoryTheory.linearYonedaproof · cited by 7
- CategoryTheory.linearCoyonedaproof · cited by 5
- CategoryTheory.Linear.homCongrproof · cited by 2
- Rep.coindMap'proof · cited by 1
- ModuleCat.ofHom₂_compr₂statement · cited by 0
- CategoryTheory.linearCoyoneda_map_appstatement · cited by 0
- CategoryTheory.linearCoyoneda_obj_mapstatement · cited by 0
- CategoryTheory.linearYoneda_map_appstatement · cited by 0
- CategoryTheory.Linear.rightComp_applystatement and proof · cited by 0