Theorems · Theorem · category theory

CategoryTheory.WideSubcategory.tensorUnit_obj

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] (P : CategoryTheory.MorphismProperty C)
  [inst_1 : CategoryTheory.MonoidalCategory C] [inst_2 : P.IsMonoidalStable],
  (CategoryTheory.MonoidalCategoryStruct.tensorUnit (CategoryTheory.WideSubcategory P)).obj =
    CategoryTheory.MonoidalCategoryStruct.tensorUnit C

Defined in: Mathlib.CategoryTheory.Monoidal.Widesubcategory
Cited by: 0 results in Mathlib
Foundations: Depth 16 from the axioms · uses propext
Assumes: CategoryTheory.Category CategoryTheory.MonoidalCategory CategoryTheory.MorphismProperty.IsMonoidalStable

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement and proof · cited by 1,384
CategoryTheory.WideSubcategorystatement and proof · cited by 26
CategoryTheory.WideSubcategory.objstatement and proof · cited by 22
CategoryTheory.MorphismProperty.IsMonoidalStablestatement and proof · cited by 10

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