Theorems · Theorem · category theory

CategoryTheory.ObjectProperty.map_monotone

∀ {C : Type u} {D : Type u'} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Category.{v', u'} D]
  {P Q : CategoryTheory.ObjectProperty C}, P ≤ Q → ∀ (F : CategoryTheory.Functor C D), P.map F ≤ Q.map F

Defined in

Mathlib.CategoryTheory.ObjectProperty.Basic

Cited by

1 results in Mathlib

Foundations

Depth 4 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.Category