Theorems · Definition · category theory
CategoryTheory.Reflective.adj
{C : Type u₁} →
{D : Type u₂} →
{inst : CategoryTheory.Category.{v₁, u₁} C} →
{inst_1 : CategoryTheory.Category.{v₂, u₂} D} →
{R : CategoryTheory.Functor D C} → [self : CategoryTheory.Reflective R] → CategoryTheory.Reflective.L R ⊣ RR is a right adjoint
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Reflective
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.Adjunctionstatement · cited by 524
- CategoryTheory.Reflectivestatement and proof · cited by 27
- CategoryTheory.Reflective.Lstatement · cited by 0
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.reflectorAdjunctionproof · cited by 10