Theorems · Theorem · category theory
CategoryTheory.CartesianMonoidalCategory.prodComparisonNatTrans_id
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C] {A : C},
CategoryTheory.CartesianMonoidalCategory.prodComparisonNatTrans (CategoryTheory.Functor.id C) A =
CategoryTheory.CategoryStruct.id
(((CategoryTheory.MonoidalCategory.curriedTensor C).obj A).comp (CategoryTheory.Functor.id C))- Cited by
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- Foundations
- Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
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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 · cited by 16,252
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.CategoryStruct.idstatement and proof · cited by 6,235
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.MonoidalCategoryStruct.tensorObjproof · cited by 3,106
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.NatTrans.ext'proof · cited by 340
- CategoryTheory.MonoidalCategory.curriedTensorstatement · cited by 170
- CategoryTheory.CartesianMonoidalCategory.prodComparisonNatTransstatement · cited by 10
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