Theorems · Definition · category theory
CategoryTheory.Oplax.StrongTrans.id
{B : Type u₁} →
[inst : CategoryTheory.Bicategory B] →
{C : Type u₂} →
[inst_1 : CategoryTheory.Bicategory C] →
(F : CategoryTheory.OplaxFunctor B C) → CategoryTheory.Oplax.StrongTrans F FThe identity strong natural transformation.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.PrelaxFunctor.toPrelaxFunctorStructproof · cited by 1,154
- CategoryTheory.PrelaxFunctorStruct.toPrefunctorproof · cited by 1,142
- CategoryTheory.Iso.symmproof · cited by 993
- Prefunctor.mapproof · cited by 952
- CategoryTheory.Iso.transproof · cited by 566
- CategoryTheory.Bicategory.leftUnitorproof · cited by 309
- CategoryTheory.Bicategory.rightUnitorproof · cited by 308
- CategoryTheory.OplaxFunctorstatement and proof · cited by 253
- CategoryTheory.OplaxFunctor.toPrelaxFunctorproof · cited by 246
- CategoryTheory.Oplax.StrongTransstatement · cited by 37
Cited by6
Results whose statement or proof uses this declaration.
- CategoryTheory.Oplax.StrongTrans.categoryStructproof · cited by 33
- CategoryTheory.Oplax.StrongTrans.id_appstatement and proof · cited by 0
- CategoryTheory.Oplax.StrongTrans.id_naturality_homstatement and proof · cited by 0
- CategoryTheory.Oplax.StrongTrans.id_naturality_invstatement and proof · cited by 0
- CategoryTheory.Pseudofunctor.StrongTrans.id.toOplaxstatement · cited by 0
- CategoryTheory.Oplax.StrongTrans.id.toOplaxstatement · cited by 0