Theorems · Theorem · category theory

CategoryTheory.Adjunction.map_projective

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {D : Type u'} [inst_1 : CategoryTheory.Category.{v', u'} D]
  {F : CategoryTheory.Functor C D} {G : CategoryTheory.Functor D C} (adj : F ⊣ G) [G.PreservesEpimorphisms] (P : C),
  CategoryTheory.Projective P → CategoryTheory.Projective (F.obj P)

Defined in

Mathlib.CategoryTheory.Preadditive.Projective.Basic

Cited by

2 results in Mathlib

Foundations

Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.PreservesEpimorphisms