Theorems · Theorem · category theory
CategoryTheory.Limits.sigmaFunctor_map_app
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasCoproducts C] {X Y : C}
(f : X ⟶ Y) (T : Type w),
(CategoryTheory.Limits.sigmaFunctor.map f).app T = CategoryTheory.Limits.Sigma.map fun x => f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- TypeCat.Funstatement · cited by 1,307
- CategoryTheory.Limits.sigmaObjstatement · cited by 302
- CategoryTheory.Limits.HasCoproductsstatement and proof · cited by 119
- CategoryTheory.Limits.Sigma.map'statement · cited by 24
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