Theorems · Definition · category theory
CategoryTheory.Lax.StrongTrans.app
{B : Type u₁} →
[inst : CategoryTheory.Bicategory B] →
{C : Type u₂} →
[inst_1 : CategoryTheory.Bicategory C] →
{F G : CategoryTheory.LaxFunctor B C} → CategoryTheory.Lax.StrongTrans F G → (a : B) → F.obj a ⟶ G.obj a- Cited by
- 15 results in Mathlib
- Foundations
- Depth 4 from the axioms · 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.LaxFunctor.toPrelaxFunctorstatement · cited by 216
- CategoryTheory.LaxFunctorstatement and proof · cited by 201
- CategoryTheory.Lax.StrongTransstatement and proof · cited by 16
Cited by18
Results whose statement or proof uses this declaration.
- CategoryTheory.Lax.StrongTrans.naturalitystatement · cited by 13
- CategoryTheory.Lax.StrongTrans.toLaxproof · cited by 8
- CategoryTheory.Lax.StrongTrans.vCompproof · cited by 3
- CategoryTheory.Lax.StrongTrans.naturality_compstatement · cited by 1
- CategoryTheory.Lax.StrongTrans.naturality_idstatement · cited by 1
- CategoryTheory.Lax.StrongTrans.naturality_naturalitystatement · cited by 1
- CategoryTheory.Lax.StrongTrans.toLax_appstatement · cited by 0
- CategoryTheory.Lax.StrongTrans.toLax_naturalitystatement · cited by 0
- CategoryTheory.Lax.StrongTrans.vComp_appstatement and proof · cited by 0
- CategoryTheory.Lax.StrongTrans.vComp_naturality_homstatement · cited by 0
- CategoryTheory.Lax.StrongTrans.vComp_naturality_invstatement and proof · cited by 0
- CategoryTheory.Lax.StrongTrans.categoryStruct_comp_appstatement and proof · cited by 0