Theorems · Theorem · category theory
CategoryTheory.Comon.monoidal_tensorObj_comon_comul
∀ (C : Type u₁) [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C]
[inst_2 : CategoryTheory.BraidedCategory C] (X Y : CategoryTheory.Comon C),
CategoryTheory.ComonObj.comul = CategoryTheory.MonObj.mul.unop- Defined in
- Mathlib.CategoryTheory.Monoidal.Comon_
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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.Homstatement · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- Oppositestatement · cited by 8,081
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- Opposite.unopstatement · cited by 2,231
- CategoryTheory.Equivalence.inversestatement · cited by 1,130
- Quiver.Hom.unopstatement · cited by 903
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.Monstatement · cited by 465
- CategoryTheory.Mon.Xstatement · cited by 329
Cited by3
Results whose statement or proof uses this declaration.
- CoalgCat.MonoidalCategoryAux.tensorObj_comulproof · cited by 0
- CoalgCat.MonoidalCategoryAux.comul_tensorObj_tensorObj_rightproof · cited by 0
- CoalgCat.MonoidalCategoryAux.comul_tensorObjproof · cited by 0