Theorems · Theorem · category theory

CategoryTheory.shrinkYonedaMon_map

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.LocallySmall.{w, v, u} C]
  [inst_2 : CategoryTheory.CartesianMonoidalCategory C] {X Y : CategoryTheory.Mon C} (f : X ⟶ Y),
  CategoryTheory.shrinkYonedaMon.{w, v, u}.map f = MonCat.shrinkFunctorMap (CategoryTheory.yonedaMon.map f)

Defined in: Mathlib.CategoryTheory.Monoidal.Cartesian.ShrinkYoneda
Cited by: 0 results in Mathlib
Foundations: Depth 47 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.LocallySmall CategoryTheory.CartesianMonoidalCategory

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CategoryTheory.Categorystatement and proof · cited by 32,673
Quiver.Homstatement and proof · cited by 32,603
CategoryTheory.Functor.objstatement · cited by 19,642
CategoryTheory.Functorstatement · cited by 16,252
CategoryTheory.Functor.mapstatement and proof · cited by 8,698
Oppositestatement · cited by 8,081
CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
CategoryTheory.Monstatement and proof · cited by 465
CategoryTheory.LocallySmallstatement and proof · cited by 242
MonCatstatement · cited by 127
CategoryTheory.yonedaMonstatement · cited by 10
MonCat.shrinkFunctorstatement · cited by 6

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