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Theorems · Theorem · category theory

CategoryTheory.CartesianMonoidalCategory.prodComparison_id

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
  {A B : C},
  CategoryTheory.CartesianMonoidalCategory.prodComparison (CategoryTheory.Functor.id C) A B =
    CategoryTheory.CategoryStruct.id (CategoryTheory.MonoidalCategoryStruct.tensorObj A B)
Defined in
Mathlib.CategoryTheory.Monoidal.Cartesian.Basic
Cited by
2 results in Mathlib
Foundations
Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategory
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Around this declaration

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CategoryTheory.CartesianMonoidalCategory.prodComparisonNatTrans_id · cited by 0CartesianMonoidalCategory…CategoryTheory.CartesianMonoidalCategory.prodComparisonIso_id · cited by 0CartesianMonoidalCategory…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idCategoryTheory.Functor.id · cited by 3333Functor.idCategoryTheory.MonoidalCategoryStruct.tensorObj · cited by 3106MonoidalCategoryStruct.te…CategoryTheory.CartesianMonoidalCategory · cited by 947CategoryTheory.CartesianM…CategoryTheory.CartesianMonoidalCategory.prodComparison · cited by 41CartesianMonoidalCategory…CategoryTheory.CartesianMonoidalCategory.lift_fst_snd · cited by 10CartesianMonoidalCategory…CartesianMonoidalCategory.pro…CITED BYCITES

Cites9

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Cited by2

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