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Theorems · Theorem · category theory

CategoryTheory.SemiCartesianMonoidalCategory.toUnit_unit

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.SemiCartesianMonoidalCategory C],
  CategoryTheory.SemiCartesianMonoidalCategory.toUnit (CategoryTheory.MonoidalCategoryStruct.tensorUnit C) =
    CategoryTheory.CategoryStruct.id (CategoryTheory.MonoidalCategoryStruct.tensorUnit C)
Defined in
Mathlib.CategoryTheory.Monoidal.Cartesian.Basic
Cited by
1 results in Mathlib
Foundations
Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.SemiCartesianMonoidalCategory
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AlgebraicGeometry.isCommMonObj_of_isProper_of_isIntegral_tensorObj_of_isAlgClosed · cited by 1AlgebraicGeometry.isCommM…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idCategoryTheory.MonoidalCategoryStruct.tensorUnit · cited by 1384MonoidalCategoryStruct.te…CategoryTheory.SemiCartesianMonoidalCategory.toUnit · cited by 103SemiCartesianMonoidalCate…CategoryTheory.SemiCartesianMonoidalCategory.toUnit_unique · cited by 26SemiCartesianMonoidalCate…CategoryTheory.SemiCartesianMonoidalCategory · cited by 14CategoryTheory.SemiCartes…SemiCartesianMonoidalCategory…CITED BYCITES

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Cited by1

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