Theorems · Definition · category theory

CategoryTheory.Reflective.L

{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.Functor C D

a choice of a left adjoint to R

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

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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

Cited by2

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CategoryTheory.reflectorproof · cited by 17
CategoryTheory.Reflective.adjstatement · cited by 0