Theorems · Theorem · category theory

CategoryTheory.MorphismProperty.strictMap_le_iff_le_inverseImage

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {D : Type u_1} [inst_1 : CategoryTheory.Category.{v_1, u_1} D]
  (F : CategoryTheory.Functor C D) (P : CategoryTheory.MorphismProperty C) (P' : CategoryTheory.MorphismProperty D),
  P.strictMap F ≤ P' ↔ P ≤ P'.inverseImage F

Defined in

Mathlib.CategoryTheory.MorphismProperty.Basic

Cited by

2 results in Mathlib

Foundations

Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category