Theorems · Definition · category theory
CategoryTheory.reflector
{C : Type u₁} →
{D : Type u₂} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
(i : CategoryTheory.Functor D C) → [CategoryTheory.Reflective i] → CategoryTheory.Functor C DThe reflector C ⥤ D when R : D ⥤ C is reflective.
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Reflectivestatement and proof · cited by 27
- CategoryTheory.Reflective.Lproof · cited by 0
Cited by25
Results whose statement or proof uses this declaration.
- CategoryTheory.reflectorAdjunctionstatement · cited by 10
- CategoryTheory.unitCompPartialBijectivestatement and proof · cited by 6
- CategoryTheory.equivEssImageOfReflectiveproof · cited by 4
- CategoryTheory.bijectionstatement and proof · cited by 3
- CategoryTheory.unitCompPartialBijectiveAuxstatement · cited by 2
- CategoryTheory.unitCompPartialBijective_symm_applystatement and proof · cited by 2
- CategoryTheory.Functor.essImage.unit_isIsostatement · cited by 2
- CategoryTheory.unitCompPartialBijectiveAux_symm_applystatement and proof · cited by 1
- CategoryTheory.bijection_naturalstatement and proof · cited by 1
- CategoryTheory.bijection_symm_apply_idstatement and proof · cited by 1
- CategoryTheory.unitCompPartialBijective_naturalstatement · cited by 1
- CategoryTheory.unitCompPartialBijective_symm_naturalstatement and proof · cited by 1