Theorems · Theorem · category theory
CategoryTheory.Functor.mapMatId_hom_app
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.Preadditive C]
(X : CategoryTheory.Mat_ C),
CategoryTheory.Functor.mapMatId.hom.app X =
CategoryTheory.CategoryStruct.id ((CategoryTheory.Functor.id C).mapMat_.obj X)- Defined in
- Mathlib.CategoryTheory.Preadditive.Mat
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- CategoryTheory.Mat_statement and proof · cited by 44
- CategoryTheory.Functor.mapMat_statement · cited by 9
- CategoryTheory.Functor.mapMatIdstatement and proof · cited by 2
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