Theorems · Theorem · category theory

CategoryTheory.MonObj.ofRepresentableBy_yonedaMonObjRepresentableBy

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v, u_1} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
  (M : C) [inst_2 : CategoryTheory.MonObj M],
  CategoryTheory.MonObj.ofRepresentableBy M (CategoryTheory.yonedaMonObj M)
      (CategoryTheory.yonedaMonObjRepresentableBy M) =
    inst_2

Defined in: Mathlib.CategoryTheory.Monoidal.Cartesian.Mon
Cited by: 0 results in Mathlib
Foundations: Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.CartesianMonoidalCategory CategoryTheory.MonObj

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CategoryTheory.Categorystatement and proof · cited by 32,673
Quiver.Homproof · cited by 32,603
CategoryTheory.CategoryStruct.compproof · cited by 17,999
CategoryTheory.MonoidalCategoryStruct.tensorObjproof · cited by 3,106
CategoryTheory.Category.id_compproof · cited by 1,998
CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
CategoryTheory.MonObj.mulproof · cited by 230
CategoryTheory.MonObjstatement and proof · cited by 199
CategoryTheory.yonedaMonObjstatement and proof · cited by 12
CategoryTheory.CartesianMonoidalCategory.lift_fst_sndproof · cited by 10
CategoryTheory.MonObj.ofRepresentableBystatement and proof · cited by 7
CategoryTheory.MonObj.extproof · cited by 3

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