Theorems · Theorem · category theory

CategoryTheory.Functor.isCardinalAccessible_of_le

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  (F : CategoryTheory.Functor C D) {κ : Cardinal.{w}} [inst_2 : Fact κ.IsRegular] [F.IsCardinalAccessible κ]
  {κ' : Cardinal.{w}} [inst_4 : Fact κ'.IsRegular], κ ≤ κ' → F.IsCardinalAccessible κ'

Defined in

Mathlib.CategoryTheory.Presentable.Basic

Cited by

1 results in Mathlib

Foundations

Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryFactCategoryTheory.Functor.IsCardinalAccessibleFact