Theorems · Definition · category theory

CategoryTheory.Coreflective.R

{C : Type u₁} →
  {D : Type u₂} →
    {inst : CategoryTheory.Category.{v₁, u₁} C} →
      {inst_1 : CategoryTheory.Category.{v₂, u₂} D} →
        (L : CategoryTheory.Functor C D) → [self : CategoryTheory.Coreflective L] → CategoryTheory.Functor D C

a choice of a right adjoint to L

Defined in: Mathlib.CategoryTheory.Adjunction.Reflective
Cited by: 0 results in Mathlib
Foundations: Depth 3 from the axioms · uses no axioms
Assumes: CategoryTheory.Coreflective

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Cites3

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.Coreflectivestatement and proof · cited by 9

Cited by2

Results whose statement or proof uses this declaration.

CategoryTheory.coreflectorproof · cited by 3
CategoryTheory.Coreflective.adjstatement · cited by 0