Theorems · Theorem · category theory
CategoryTheory.Preadditive.commGrpEquivalence_functor_obj_grp_mul
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
[inst_2 : CategoryTheory.CartesianMonoidalCategory C] [inst_3 : CategoryTheory.BraidedCategory C] (X : C),
CategoryTheory.MonObj.mul =
CategoryTheory.SemiCartesianMonoidalCategory.fst X X + CategoryTheory.SemiCartesianMonoidalCategory.snd X X- Cited by
- 0 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
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.Preadditivestatement and proof · cited by 3,309
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.Equivalence.functorstatement · cited by 1,268
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.MonObj.mulstatement and proof · cited by 230
- CategoryTheory.SemiCartesianMonoidalCategory.fststatement · cited by 184
- CategoryTheory.SemiCartesianMonoidalCategory.sndstatement · cited by 181
- CategoryTheory.CommGrpstatement · cited by 74
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