Theorems · Theorem · category theory
CategoryTheory.GradedObject.Monoidal.id_tensorHom_id
∀ {I : Type u} [inst : AddMonoid I] {C : Type u_1} [inst_1 : CategoryTheory.Category.{v_1, u_1} C]
[inst_2 : CategoryTheory.MonoidalCategory C] (X Y : CategoryTheory.GradedObject I C) [inst_3 : X.HasTensor Y],
CategoryTheory.GradedObject.Monoidal.tensorHom (CategoryTheory.CategoryStruct.id X)
(CategoryTheory.CategoryStruct.id Y) =
CategoryTheory.CategoryStruct.id (CategoryTheory.GradedObject.Monoidal.tensorObj X Y)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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.objproof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.NatTrans.appproof · cited by 7,406
- CategoryTheory.CategoryStruct.idstatement and proof · cited by 6,235
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- AddMonoidstatement and proof · cited by 2,864
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.Functor.map_idproof · cited by 616
- CategoryTheory.GradedObjectstatement and proof · cited by 239
- CategoryTheory.MonoidalCategory.curriedTensorproof · cited by 170
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.GradedObject.Monoidal.pentagonproof · cited by 0