Theorems · Definition · category theory
CategoryTheory.Pseudofunctor.StrongTrans.app
{B : Type u₁} →
[inst : CategoryTheory.Bicategory B] →
{C : Type u₂} →
[inst_1 : CategoryTheory.Bicategory C] →
{F G : CategoryTheory.Pseudofunctor B C} → F.StrongTrans G → (a : B) → F.obj a ⟶ G.obj aThe component 1-morphisms of a strong transformation.
- Cited by
- 106 results in Mathlib
- Foundations
- Depth 4 from the axioms, rests on 19 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- Prefunctor.objstatement · cited by 1,241
- CategoryTheory.PrelaxFunctor.toPrelaxFunctorStructstatement · cited by 1,154
- CategoryTheory.PrelaxFunctorStruct.toPrefunctorstatement · cited by 1,142
- CategoryTheory.Pseudofunctor.toPrelaxFunctorstatement · cited by 640
- CategoryTheory.Pseudofunctorstatement and proof · cited by 571
- CategoryTheory.Pseudofunctor.StrongTransstatement and proof · cited by 13
Cited by123
Results whose statement or proof uses this declaration.
- CategoryTheory.Pseudofunctor.StrongTrans.naturalitystatement · cited by 81
- CategoryTheory.Pseudofunctor.StrongTrans.Modification.appstatement · cited by 32
- CategoryTheory.Pseudofunctor.StrongTrans.toOplaxproof · cited by 16
- CategoryTheory.Pseudofunctor.CoGrothendieck.mapproof · cited by 8
- CategoryTheory.Pseudofunctor.Grothendieck.mapproof · cited by 8
- CategoryTheory.Pseudofunctor.StrongTrans.isoMkstatement and proof · cited by 3
- CategoryTheory.Pseudofunctor.StrongTrans.naturality_comp_homstatement and proof · cited by 3
- CategoryTheory.Pseudofunctor.StrongTrans.naturality_id_homstatement and proof · cited by 3
- CategoryTheory.Pseudofunctor.StrongTrans.naturality_naturality_homstatement and proof · cited by 3
- CategoryTheory.Pseudofunctor.StrongTrans.Modification.extstatement and proof · cited by 2
- CategoryTheory.Pseudofunctor.StrongTrans.naturality_compstatement · cited by 2
- CategoryTheory.Pseudofunctor.StrongTrans.naturality_comp_invstatement and proof · cited by 2