Theorems · Theorem · category theory
CategoryTheory.Equivalence.symmEquiv_unitIso
∀ (C : Type u_1) [inst : CategoryTheory.Category.{v_1, u_1} C] (D : Type u_2)
[inst_1 : CategoryTheory.Category.{v_2, u_2} D],
(CategoryTheory.Equivalence.symmEquiv C D).unitIso =
CategoryTheory.NatIso.ofComponents (fun e => CategoryTheory.Iso.refl ((CategoryTheory.Functor.id (C ≌ D)).obj e)) ⋯- Cited by
- 0 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
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 · cited by 16,252
- Oppositestatement · cited by 8,081
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.Iso.reflstatement · cited by 727
- CategoryTheory.Equivalencestatement · cited by 601
- CategoryTheory.Equivalence.unitIsostatement and proof · cited by 536
- CategoryTheory.NatIso.ofComponentsstatement · cited by 178
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