Theorems · Theorem · category theory

CategoryTheory.CommMon.forget_obj

∀ (C : Type u₁) [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C]
  [inst_2 : CategoryTheory.BraidedCategory C] (X : CategoryTheory.CommMon C),
  (CategoryTheory.CommMon.forget C).obj X = X.X

Defined in: Mathlib.CategoryTheory.Monoidal.CommMon_
Cited by: 0 results in Mathlib
Foundations: Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.MonoidalCategory CategoryTheory.BraidedCategory

Mathlib docs Source Loogle LeanSearch

Around this declaration

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

Cites7

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.MonoidalCategorystatement and proof · cited by 3,095
CategoryTheory.BraidedCategorystatement and proof · cited by 779
CategoryTheory.CommMonstatement and proof · cited by 85
CategoryTheory.CommMon.Xstatement · cited by 50
CategoryTheory.CommMon.forgetstatement and proof · cited by 4

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.