Theorems · Theorem · category theory
CategoryTheory.piEquivalenceFunctorDiscreteCompEvaluationIso_hom_app
∀ (C : Type u_1) [inst : CategoryTheory.Category.{v_1, u_1} C] {J : Type u_2} (j : J) (X : J → C),
(CategoryTheory.piEquivalenceFunctorDiscreteCompEvaluationIso C j).hom.app X = CategoryTheory.CategoryStruct.id (X j)- Defined in
- Mathlib.CategoryTheory.Discrete.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites14
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
- CategoryTheory.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.Discretestatement · cited by 2,447
- CategoryTheory.Equivalence.functorstatement · cited by 1,268
- CategoryTheory.evaluationstatement · cited by 173
- CategoryTheory.Pi.evalstatement · cited by 37
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