Theorems · Theorem · category theory
CategoryTheory.ObjectProperty.hom_inv
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {P : CategoryTheory.ObjectProperty C} {X Y : P.FullSubcategory}
(f : X ⟶ Y) [inst_1 : CategoryTheory.IsIso f], (CategoryTheory.inv f).hom = CategoryTheory.inv f.hom- Cited by
- 0 results in Mathlib
- Foundations
- Depth 20 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.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.ObjectProperty.FullSubcategory.objstatement · cited by 1,316
- CategoryTheory.IsIsostatement and proof · cited by 1,156
- CategoryTheory.InducedCategory.Hom.homstatement · cited by 850
- CategoryTheory.ObjectPropertystatement and proof · cited by 798
- CategoryTheory.ObjectProperty.FullSubcategorystatement and proof · cited by 726
- CategoryTheory.invstatement · cited by 467
- CategoryTheory.Iso.hom_inv_idproof · cited by 264
- CategoryTheory.asIsoproof · cited by 177
- CategoryTheory.ObjectProperty.ιproof · cited by 95
- CategoryTheory.Functor.congr_mapproof · cited by 50
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.