Theorems · Definition · category theory
CategoryTheory.Oplax.LaxTrans.Modification.app
{B : Type u₁} →
[inst : CategoryTheory.Bicategory B] →
{C : Type u₂} →
[inst_1 : CategoryTheory.Bicategory C] →
{F G : CategoryTheory.OplaxFunctor B C} →
{η θ : F ⟶ G} → CategoryTheory.Oplax.LaxTrans.Modification η θ → (a : B) → η.app a ⟶ θ.app aThe underlying family of 2-morphisms.
- Cited by
- 32 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · 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.OplaxFunctorstatement and proof · cited by 253
- CategoryTheory.OplaxFunctor.toPrelaxFunctorstatement · cited by 246
- CategoryTheory.Oplax.LaxTrans.appstatement · cited by 48
- CategoryTheory.Oplax.LaxTrans.Modificationstatement and proof · cited by 18
Cited by35
Results whose statement or proof uses this declaration.
- CategoryTheory.Oplax.LaxTrans.Modification.naturalitystatement · cited by 3
- CategoryTheory.Oplax.LaxTrans.Modification.extstatement and proof · cited by 2
- CategoryTheory.Oplax.LaxTrans.Modification.vcompproof · cited by 1
- CategoryTheory.Oplax.LaxTrans.Modification.whiskerLeft_naturalitystatement and proof · cited by 1
- CategoryTheory.Oplax.LaxTrans.Modification.whiskerRight_naturalitystatement and proof · cited by 1
- CategoryTheory.Oplax.LaxTrans.whiskerLeftproof · cited by 1
- CategoryTheory.Oplax.LaxTrans.homCategory.extstatement and proof · cited by 1
- CategoryTheory.Oplax.LaxTrans.whiskerRightproof · cited by 1
- CategoryTheory.Oplax.LaxTrans.associator_hom_as_appstatement and proof · cited by 0
- CategoryTheory.Oplax.LaxTrans.associator_inv_as_appstatement and proof · cited by 0
- CategoryTheory.Oplax.LaxTrans.homCategory_comp_as_appstatement and proof · cited by 0
- CategoryTheory.Oplax.LaxTrans.homCategory_id_as_appstatement and proof · cited by 0