Theorems · Theorem · category theory
CategoryTheory.unop_id
∀ {C : Type u₁} [inst : CategoryTheory.CategoryStruct.{v₁, u₁} C] {X : Cᵒᵖ},
(CategoryTheory.CategoryStruct.id X).unop = CategoryTheory.CategoryStruct.id (Opposite.unop X)- Defined in
- Mathlib.CategoryTheory.Opposites
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
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.
- Quiver.Homstatement · cited by 32,603
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- Opposite.unopstatement · cited by 2,231
- Quiver.Hom.unopstatement · cited by 903
- CategoryTheory.CategoryStructstatement and proof · cited by 343
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.unop_invproof · cited by 4
- CategoryTheory.Iso.unop_inv_hom_id_appproof · cited by 4
- CategoryTheory.Iso.unop_hom_inv_id_appproof · cited by 1