Theorems · Definition · category theory
CategoryTheory.Lax.LaxTrans.id
{B : Type u₁} →
[inst : CategoryTheory.Bicategory B] →
{C : Type u₂} →
[inst_1 : CategoryTheory.Bicategory C] → (F : CategoryTheory.LaxFunctor B C) → CategoryTheory.Lax.LaxTrans F FThe identity lax transformation.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.Iso.invproof · cited by 6,514
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- Prefunctor.objproof · cited by 1,241
- CategoryTheory.PrelaxFunctor.toPrelaxFunctorStructproof · cited by 1,154
- CategoryTheory.PrelaxFunctorStruct.toPrefunctorproof · cited by 1,142
- Prefunctor.mapproof · cited by 952
- CategoryTheory.Bicategory.leftUnitorproof · cited by 309
- CategoryTheory.Bicategory.rightUnitorproof · cited by 308
Cited by7
Results whose statement or proof uses this declaration.
- CategoryTheory.Lax.StrongTrans.idproof · cited by 4
- CategoryTheory.Lax.StrongTrans.id_naturality_invstatement · cited by 0
- CategoryTheory.Lax.StrongTrans.id.toLaxstatement · cited by 0
- CategoryTheory.Lax.StrongTrans.categoryStruct_id_appstatement · cited by 0
- CategoryTheory.Lax.StrongTrans.categoryStruct_id_naturalitystatement · cited by 0
- CategoryTheory.Lax.StrongTrans.id_appstatement · cited by 0
- CategoryTheory.Lax.StrongTrans.id_naturality_homstatement · cited by 0