Theorems · Definition · category theory

CategoryTheory.yonedaRing

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.CartesianMonoidalCategory C] →
      [inst_2 : CategoryTheory.BraidedCategory C] →
        CategoryTheory.Functor (CategoryTheory.RingObjCat C) (CategoryTheory.Functor Cᵒᵖ RingCat)

The yoneda embedding of RingObjCat C into presheaves of rings.

Defined in: Mathlib.CategoryTheory.Monoidal.Cartesian.Ring
Cited by: 0 results in Mathlib
Foundations: Depth 50 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.CartesianMonoidalCategory CategoryTheory.BraidedCategory

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

CategoryTheory.Categorystatement and proof · cited by 32,673
Quiver.Homproof · cited by 32,603
CategoryTheory.CategoryStruct.compproof · cited by 17,999
CategoryTheory.Functorstatement · cited by 16,252
Oppositestatement and proof · cited by 8,081
Opposite.unopproof · cited by 2,231
CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
CategoryTheory.BraidedCategorystatement and proof · cited by 779
RingCatstatement · cited by 473
CategoryTheory.RingObjCatstatement and proof · cited by 23
CategoryTheory.RingObjCat.Xproof · cited by 19
CategoryTheory.RingObjCat.Hom.homproof · cited by 10

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