Theorems · Theorem · category theory
Types.monoOverEquivalenceSet_unitIso
∀ (α : Type u),
(Types.monoOverEquivalenceSet α).unitIso =
CategoryTheory.NatIso.ofComponents
(fun f =>
CategoryTheory.MonoOver.isoMk (Equiv.ofInjective ⇑(CategoryTheory.ConcreteCategory.hom f.obj.hom) ⋯).toIso ⋯)
⋯- Defined in
- Mathlib.CategoryTheory.Subobject.Types
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites29
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- Set.Elemstatement · cited by 7,166
- CategoryTheory.Functor.compstatement · cited by 6,529
- Set.rangestatement · cited by 4,705
- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.ObjectProperty.FullSubcategory.objstatement · cited by 1,316
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