Theorems · Theorem · category theory
CategoryTheory.prodOpEquiv_unitIso_hom_app
∀ (C : Type u₃) [inst : CategoryTheory.Category.{v₃, u₃} C] {D : Type u₄} [inst_1 : CategoryTheory.Category.{v₄, u₄} D]
(X : (C × D)ᵒᵖ), (CategoryTheory.prodOpEquiv C).unitIso.hom.app X = CategoryTheory.CategoryStruct.id X- Defined in
- Mathlib.CategoryTheory.Products.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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 · cited by 16,252
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.Equivalence.unitIsostatement and proof · cited by 536
- CategoryTheory.prodOpEquivstatement and proof · cited by 8
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