Theorems · Theorem · category theory
CategoryTheory.Equivalence.induced_unitIso
∀ {D : Type u₂} [inst : CategoryTheory.Category.{v₂, u₂} D] {T : Type u_2} (e : T ≃ D),
(CategoryTheory.Equivalence.induced e).unitIso =
CategoryTheory.NatIso.ofComponents (fun x => CategoryTheory.eqToIso ⋯) ⋯- Defined in
- Mathlib.CategoryTheory.EqToHom
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
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Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.Functorstatement · cited by 16,252
- Equivstatement and proof · cited by 8,337
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Isostatement · cited by 3,963
- Equiv.symmstatement · cited by 3,681
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.eqToHomstatement · cited by 860
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