Theorems · Theorem · category theory
CategoryTheory.unop_comp
∀ {C : Type u₁} [inst : CategoryTheory.CategoryStruct.{v₁, u₁} C] {X Y Z : Cᵒᵖ} {f : X ⟶ Y} {g : Y ⟶ Z},
(CategoryTheory.CategoryStruct.comp f g).unop = CategoryTheory.CategoryStruct.comp g.unop f.unop- Defined in
- Mathlib.CategoryTheory.Opposites
- Cited by
- 15 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 and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- Oppositestatement and proof · cited by 8,081
- Opposite.unopstatement · cited by 2,231
- Quiver.Hom.unopstatement · cited by 903
- CategoryTheory.CategoryStructstatement and proof · cited by 343
Cited by15
Results whose statement or proof uses this declaration.
- CategoryTheory.Iso.unop_inv_hom_id_appproof · cited by 4
- CategoryTheory.unop_invproof · cited by 4
- CategoryTheory.CostructuredArrow.unop_left_comp_underlyingIso_hom_unopproof · cited by 1
- CategoryTheory.Iso.unop_hom_inv_id_appproof · cited by 1
- CategoryTheory.Limits.opProdIsoCoprod_inv_inlproof · cited by 1
- CategoryTheory.Limits.opProdIsoCoprod_inv_inrproof · cited by 1