Theorems · Theorem · category theory

CategoryTheory.Functor.IsEventuallyConstantTo.cone_pt

∀ {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}
  (h : F.IsEventuallyConstantTo i₀) [inst_2 : CategoryTheory.IsCofiltered J], h.cone.pt = F.obj i₀

Defined in: Mathlib.CategoryTheory.Limits.Constructions.EventuallyConstant
Cited by: 0 results in Mathlib
Foundations: Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Category CategoryTheory.IsCofiltered

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functor.objstatement · cited by 19,642
CategoryTheory.Functorstatement and proof · cited by 16,252
CategoryTheory.Limits.Cone.ptstatement and proof · cited by 1,298
CategoryTheory.IsCofilteredstatement and proof · cited by 133
CategoryTheory.Functor.IsEventuallyConstantTostatement and proof · cited by 19
CategoryTheory.Functor.IsEventuallyConstantTo.conestatement and proof · cited by 3

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