Theorems · Theorem · category theory
CategoryTheory.Limits.FormalCoproduct.evalCompInclIsoId_inv_app_app
∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C] (A : Type u₁) [inst_1 : CategoryTheory.Category.{v₁, u₁} A]
[inst_2 : CategoryTheory.Limits.HasCoproducts A] (X : CategoryTheory.Functor C A) (X_1 : C),
((CategoryTheory.Limits.FormalCoproduct.evalCompInclIsoId C A).inv.app X).app X_1 =
CategoryTheory.Limits.Sigma.ι (fun x => X.obj X_1) PUnit.unit- Cited by
- 0 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.Functor.whiskeringLeftstatement · cited by 395
- CategoryTheory.Limits.Sigma.ιstatement · cited by 205
- CategoryTheory.Limits.FormalCoproductstatement · cited by 122
- CategoryTheory.Limits.HasCoproductsstatement and proof · cited by 119
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