Theorems · Theorem · category theory
CategoryTheory.Functor.natTransEquiv_symm_apply_app
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {D : Type u'} [inst_1 : CategoryTheory.Category.{v', u'} D]
{F G : CategoryTheory.Functor C D} (f : F ⟶ G) (x : C),
(CategoryTheory.Functor.natTransEquiv.symm f).app x =
TypeCat.ofHom fun x_1 => CategoryTheory.Functor.HomObj.ofNatTrans f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 44 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.
- DFunLike.coestatement and proof · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- Equivstatement · cited by 8,337
- Oppositestatement · cited by 8,081
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- Equiv.symmstatement and proof · cited by 3,681
- Opposite.unopstatement · cited by 2,231
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement · cited by 1,384
- TypeCat.ofHomstatement · cited by 389
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