Theorems · Theorem · category theory
CategoryTheory.Lax.LaxTrans.homCategory.ext
∀ {B : Type u₁} [inst : CategoryTheory.Bicategory B] {C : Type u₂} [inst_1 : CategoryTheory.Bicategory C]
{F G : CategoryTheory.LaxFunctor B C} {η θ : F ⟶ G} {Γ Δ : η ⟶ θ}, (∀ (a : B), Γ.as.app a = Δ.as.app a) → Γ = Δ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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.LaxFunctor.toPrelaxFunctorstatement · cited by 216
- CategoryTheory.LaxFunctorstatement and proof · cited by 201
- CategoryTheory.Lax.LaxTrans.appstatement · cited by 61
- CategoryTheory.Lax.LaxTrans.Modification.appstatement and proof · cited by 28
- CategoryTheory.Lax.LaxTrans.Hom.asstatement and proof · cited by 24
- CategoryTheory.Lax.LaxTrans.homCategorystatement · cited by 22
- CategoryTheory.Lax.LaxTrans.Modification.extproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Lax.LaxTrans.homCategory.ext_iffproof · cited by 0