Theorems · Theorem · category theory
CategoryTheory.Functor.final_natIso_iff
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
{F F' : CategoryTheory.Functor C D} (i : F ≅ F'), F.Final ↔ F'.Final- Defined in
- Mathlib.CategoryTheory.Limits.Final
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.Functorstatement and proof · cited by 16,252
- CategoryTheory.Isostatement and proof · cited by 3,963
- CategoryTheory.Iso.symmproof · cited by 993
- CategoryTheory.Functor.Finalstatement and proof · cited by 112
- CategoryTheory.Functor.final_of_natIsoproof · cited by 7
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.final_of_final_compproof · cited by 4
- CategoryTheory.TwoSquare.costructuredArrowRightwards_final_iff_of_isoproof · cited by 1
- CategoryTheory.TwoSquare.GuitartExact.whiskerHorizontalproof · cited by 0