Theorems · Inductive type · category theory

CategoryTheory.ObjectProperty.strictMap

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

The strict image of a property of objects by a functor.

Defined in

Mathlib.CategoryTheory.ObjectProperty.Basic

Cited by

10 results in Mathlib

Foundations

Depth 2 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.Category