Theorems · Theorem · category theory

CategoryTheory.yonedaCommRing_obj

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
  [inst_2 : CategoryTheory.BraidedCategory C] (R : CategoryTheory.CommRingObjCat C),
  CategoryTheory.yonedaCommRing.obj R = CategoryTheory.yonedaCommRingObj R.X

Defined in: Mathlib.CategoryTheory.Monoidal.Cartesian.Ring
Cited by: 0 results in Mathlib
Foundations: Depth 53 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
CategoryTheory.Functor.objstatement and proof · cited by 19,642
CategoryTheory.Functorstatement · cited by 16,252
Oppositestatement · cited by 8,081
CommRingCatstatement · cited by 2,333
CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
CategoryTheory.BraidedCategorystatement and proof · cited by 779
CategoryTheory.CommRingObjCatstatement and proof · cited by 19
CategoryTheory.CommRingObjCat.Xstatement · cited by 16
CategoryTheory.yonedaCommRingObjstatement · cited by 3
CategoryTheory.yonedaCommRingstatement and proof · cited by 2

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