Theorems · Definition · category theory
CategoryTheory.Comma.opFunctor
{A : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} A] →
{B : Type u₂} →
[inst_1 : CategoryTheory.Category.{v₂, u₂} B] →
{T : Type u₃} →
[inst_2 : CategoryTheory.Category.{v₃, u₃} T] →
(L : CategoryTheory.Functor A T) →
(R : CategoryTheory.Functor B T) →
CategoryTheory.Functor (CategoryTheory.Comma L R) (CategoryTheory.Comma R.op L.op)ᵒᵖThe canonical functor from Comma L R to (Comma R.op L.op)ᵒᵖ.
- Defined in
- Mathlib.CategoryTheory.Comma.Basic
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement and proof · cited by 16,252
- Oppositestatement · cited by 8,081
- CategoryTheory.Functor.opstatement · cited by 997
- CategoryTheory.Comma.leftproof · cited by 886
- CategoryTheory.Comma.rightproof · cited by 727
- CategoryTheory.Commastatement and proof · cited by 566
- CategoryTheory.CommaMorphism.leftproof · cited by 526
- CategoryTheory.Comma.homproof · cited by 490
- CategoryTheory.CommaMorphism.rightproof · cited by 391
Cited by14
Results whose statement or proof uses this declaration.
- CategoryTheory.Comma.opEquivproof · cited by 7
- CategoryTheory.Comma.opFunctorCompFststatement and proof · cited by 3
- CategoryTheory.Comma.opFunctorCompSndstatement and proof · cited by 3
- CategoryTheory.Comma.final_fst_of_isConnected_structuredArrowproof · cited by 0
- CategoryTheory.Comma.final_snd_of_isFiltered_structuredArrowproof · cited by 0
- CategoryTheory.Comma.opEquiv_counitIsostatement · cited by 0
- CategoryTheory.Comma.opEquiv_functorstatement · cited by 0
- CategoryTheory.Comma.opEquiv_unitIsostatement · cited by 0
- CategoryTheory.Comma.opFunctorCompFst_hom_appstatement · cited by 0
- CategoryTheory.Comma.opFunctorCompFst_inv_appstatement · cited by 0
- CategoryTheory.Comma.opFunctorCompSnd_hom_appstatement · cited by 0
- CategoryTheory.Comma.opFunctorCompSnd_inv_appstatement · cited by 0