Theorems · Definition · category theory

CategoryTheory.MorphismProperty.IsInvertedBy

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {D : Type u'} →
      [inst_1 : CategoryTheory.Category.{v', u'} D] →
        CategoryTheory.MorphismProperty C → CategoryTheory.Functor C D → Prop

If P : MorphismProperty C and F : C ⥤ D, then P.IsInvertedBy F means that all morphisms in P are mapped by F to isomorphisms in D.

Defined in

Mathlib.CategoryTheory.MorphismProperty.IsInvertedBy

Cited by

118 results in Mathlib

Foundations

Depth 4 from the axioms, rests on 12 definitions · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.Category