Theorems · Theorem · category theory
CategoryTheory.IsIso.inv_inv
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y : C} {f : X ⟶ Y} [inst_1 : CategoryTheory.IsIso f],
CategoryTheory.inv (CategoryTheory.inv f) = f- Defined in
- Mathlib.CategoryTheory.Iso
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.IsIsostatement and proof · cited by 1,156
- CategoryTheory.invstatement · cited by 467
- CategoryTheory.IsIso.inv_hom_idproof · cited by 88
- CategoryTheory.IsIso.inv_eq_of_hom_inv_idproof · cited by 24
Cited by10
Results whose statement or proof uses this declaration.
- CategoryTheory.Subgroupoid.IsNormal.conj'proof · cited by 2
- DerivedCategory.right_fac_of_isStrictlyLE_of_isStrictlyGEproof · cited by 0
- CategoryTheory.Functor.Monoidal.inv_εproof · cited by 0
- SSet.Subcomplex.image_invproof · cited by 0
- CategoryTheory.AddGrpObj.neg_negproof · cited by 0
- CategoryTheory.Subgroupoid.inv_mem_iffproof · cited by 0
- CategoryTheory.Functor.Monoidal.inv_δproof · cited by 0
- DerivedCategory.left_fac_of_isStrictlyLE_of_isStrictlyGEproof · cited by 0
- CategoryTheory.Functor.Monoidal.inv_μproof · cited by 0
- CategoryTheory.GrpObj.inv_invproof · cited by 0