Theorems · Theorem · category theory
CategoryTheory.Functor.final_of_natIso
∀ {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} [F.Final] (i : F ≅ F'), F'.Final- Defined in
- Mathlib.CategoryTheory.Limits.Final
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 31 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.Functor.Finalstatement and proof · cited by 112
- CategoryTheory.StructuredArrow.mapNatIsoproof · cited by 16
- CategoryTheory.isConnected_of_equivalentproof · cited by 11
Cited by7
Results whose statement or proof uses this declaration.
- CategoryTheory.TwoSquare.GuitartExact.of_hCompproof · cited by 3
- CategoryTheory.Functor.final_natIso_iffproof · cited by 3
- CategoryTheory.Limits.isIndObject_of_isFiltered_of_finallySmallproof · cited by 1
- CategoryTheory.Functor.final_comp_equivalenceproof · cited by 1
- CategoryTheory.Functor.final_of_final_costructuredArrowToOverproof · cited by 0
- CategoryTheory.Grothendieck.final_mapproof · cited by 0
- CategoryTheory.Comma.map_finalproof · cited by 0