Theorems · Theorem · category theory
CategoryTheory.inv_eqToHom
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {X Y : C} (h : X = Y),
CategoryTheory.inv (CategoryTheory.eqToHom h) = CategoryTheory.eqToHom ⋯- Defined in
- Mathlib.CategoryTheory.EqToHom
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.eqToHomstatement · cited by 860
- CategoryTheory.invstatement · cited by 467
- CategoryTheory.IsIso.inv_idproof · cited by 9
Cited by5
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.IdealSheafData.subschemeι_appproof · cited by 5
- AlgebraicGeometry.Scheme.Hom.toNormalization_app_preimageproof · cited by 2
- AlgebraicGeometry.Scheme.Hom.toImage_appproof · cited by 1
- CategoryTheory.Functor.congr_inv_of_congr_homproof · cited by 1