Theorems · Theorem · category theory

CategoryTheory.Functor.IsEventuallyConstantTo.isIso_map

∀ {J : Type u_1} {C : Type u_2} [inst : CategoryTheory.Category.{v_1, u_1} J]
  [inst_1 : CategoryTheory.Category.{v_2, u_2} C] {F : CategoryTheory.Functor J C} {i₀ : J},
  F.IsEventuallyConstantTo i₀ → ∀ {i j : J} (φ : i ⟶ j) (π : j ⟶ i₀), CategoryTheory.IsIso (F.map φ)

Defined in

Mathlib.CategoryTheory.Limits.Constructions.EventuallyConstant

Cited by

1 results in Mathlib

Foundations

Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category