Theorems · Theorem · category theory
CategoryTheory.Monoidal.CommMonFunctorCategoryEquivalence.functor_obj_obj_mon_mul
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
[inst_2 : CategoryTheory.MonoidalCategory D] [inst_3 : CategoryTheory.BraidedCategory D]
(A : CategoryTheory.CommMon (CategoryTheory.Functor C D)) (X : C),
CategoryTheory.MonObj.mul = CategoryTheory.MonObj.mul.app X- Cited by
- 0 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites17
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
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.NatTrans.appstatement · cited by 7,406
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Equivalence.functorstatement · cited by 1,268
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.Monstatement · cited by 465
- CategoryTheory.Mon.Xstatement · cited by 329
- CategoryTheory.MonObj.mulstatement and proof · cited by 230
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