Theorems · Theorem · category theory
CategoryTheory.Iso.ext
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y : C} ⦃α β : X ≅ Y⦄, α.hom = β.hom → α = β- Defined in
- Mathlib.CategoryTheory.Iso
- Cited by
- 166 results in Mathlib
- Foundations
- Depth 14 from the axioms, rests on 98 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.Iso.invproof · cited by 6,514
- CategoryTheory.Isostatement and proof · cited by 3,963
Cited by166
Results whose statement or proof uses this declaration.
- CategoryTheory.Iso.trans_assocproof · cited by 39
- CategoryTheory.Iso.refl_transproof · cited by 27
- CategoryTheory.shiftFunctorAdd'_eq_shiftFunctorAddproof · cited by 15
- CategoryTheory.Iso.trans_reflproof · cited by 13
- AlgebraicGeometry.Scheme.isoOfEq_rflproof · cited by 12
- CategoryTheory.Functor.mapIso_reflproof · cited by 8
- CategoryTheory.Core.hom_extproof · cited by 6
- CategoryTheory.Aut.extproof · cited by 5
- CategoryTheory.Limits.kernelIsoOfEq_reflproof · cited by 5
- CategoryTheory.Limits.cokernelIsoOfEq_reflproof · cited by 5
- CategoryTheory.Iso.self_symm_idproof · cited by 5
- CategoryTheory.LocalizerMorphism.homMap_applyproof · cited by 4