Theorems · Theorem · category theory
CategoryTheory.LaxBraidedFunctor.isoMk_hom
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C]
[inst_2 : CategoryTheory.BraidedCategory C] {D : Type u₂} [inst_3 : CategoryTheory.Category.{v₂, u₂} D]
[inst_4 : CategoryTheory.MonoidalCategory D] [inst_5 : CategoryTheory.BraidedCategory D]
{F G : CategoryTheory.LaxBraidedFunctor C D} (e : F.toFunctor ≅ G.toFunctor)
[inst_6 : CategoryTheory.NatTrans.IsMonoidal e.hom],
(CategoryTheory.LaxBraidedFunctor.isoMk e).hom = CategoryTheory.LaxBraidedFunctor.homMk e.hom- Cited by
- 0 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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.Functorstatement · cited by 16,252
- CategoryTheory.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.Isostatement and proof · cited by 3,963
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.LaxBraidedFunctorstatement and proof · cited by 33
- CategoryTheory.NatTrans.IsMonoidalstatement and proof · cited by 31
- CategoryTheory.LaxBraidedFunctor.toFunctorstatement and proof · cited by 13
- CategoryTheory.LaxBraidedFunctor.homMkstatement · cited by 4
- CategoryTheory.LaxBraidedFunctor.isoMkstatement and proof · cited by 2
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