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Theorems · Definition · category theory

CategoryTheory.CommRingObjCat.forget

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

The forgetful functor from the category of ring objects in C to C.

Defined in
Mathlib.CategoryTheory.Monoidal.Ring
Cited by
2 results in Mathlib
Foundations
Depth 15 from the axioms · uses propext, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.BraidedCategory
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.CommRingObjCat.forget_map · cited by 0CommRingObjCat.forget_mapCategoryTheory.CommRingObjCat.forget_obj · cited by 0CommRingObjCat.forget_objCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.CartesianMonoidalCategory · cited by 947CategoryTheory.CartesianM…CategoryTheory.BraidedCategory · cited by 779CategoryTheory.BraidedCat…CategoryTheory.CommRingObjCat · cited by 19CategoryTheory.CommRingOb…CategoryTheory.CommRingObjCat.X · cited by 16CommRingObjCat.XCategoryTheory.CommRingObjCat.Hom.hom · cited by 9Hom.homCommRingObjCat.forgetCITED BYCITES

Cites8

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Cited by2

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