Theorems · Theorem · category theory
CategoryTheory.Iso.core_inv_app_iso_inv
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
{F G : CategoryTheory.Functor C D} (α : F ≅ G) (X : CategoryTheory.Core C),
(α.core.inv.app X).iso.inv = α.hom.app X.of- Defined in
- Mathlib.CategoryTheory.Core
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 26 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 · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Iso.homstatement · cited by 7,684
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- CategoryTheory.Isostatement and proof · cited by 3,963
- CategoryTheory.Core.ofstatement · cited by 94
- CategoryTheory.Corestatement and proof · cited by 85
- CategoryTheory.CoreHom.isostatement and proof · cited by 76
- CategoryTheory.Functor.corestatement · cited by 36
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.