Theorems · Theorem · category theory
CategoryTheory.Lax.LaxTrans.Modification.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} {x y : CategoryTheory.Lax.LaxTrans.Modification η θ},
x.app = y.app → x = y- Cited by
- 2 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.
Cites15
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.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- Prefunctor.objstatement · cited by 1,241
- CategoryTheory.PrelaxFunctor.toPrelaxFunctorStructstatement and proof · cited by 1,154
- CategoryTheory.PrelaxFunctorStruct.toPrefunctorstatement and proof · cited by 1,142
- Prefunctor.mapproof · cited by 952
- CategoryTheory.Bicategory.whiskerRightproof · cited by 531
- CategoryTheory.Bicategory.whiskerLeftproof · cited by 524
- CategoryTheory.LaxFunctor.toPrelaxFunctorstatement and proof · cited by 216
- CategoryTheory.LaxFunctorstatement and proof · cited by 201
- CategoryTheory.Lax.LaxTrans.appstatement and proof · cited by 61
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.Lax.LaxTrans.homCategory.extproof · cited by 1
- CategoryTheory.Lax.LaxTrans.Modification.ext_iffproof · cited by 0