Theorems · Theorem · category theory
CategoryTheory.Functor.toEventualRanges_obj
∀ {J : Type u} [inst : CategoryTheory.Category.{v_1, u} J] (F : CategoryTheory.Functor J (Type v))
[inst_1 : CategoryTheory.IsCofilteredOrEmpty J] (j : J), F.toEventualRanges.obj j = ↑(F.eventualRange j)- Defined in
- Mathlib.CategoryTheory.CofilteredSystem
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- Set.Elemstatement · cited by 7,166
- CategoryTheory.IsCofilteredOrEmptystatement and proof · cited by 55
- CategoryTheory.Functor.eventualRangestatement · cited by 13
- CategoryTheory.Functor.toEventualRangesstatement and proof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.toEventualRanges_nonemptyproof · cited by 0