Theorems · Theorem · category theory
Types.monoOverEquivalenceSet_functor_obj
∀ (α : Type u) (f : CategoryTheory.MonoOver α), (Types.monoOverEquivalenceSet α).functor.obj f = Set.range ⇑(CategoryTheory.ConcreteCategory.hom f.obj.hom)
- 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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Cites14
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
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- Set.rangestatement · cited by 4,705
- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- CategoryTheory.ObjectProperty.FullSubcategory.objstatement · cited by 1,316
- TypeCat.Funstatement · cited by 1,307
- CategoryTheory.Equivalence.functorstatement and proof · cited by 1,268
- CategoryTheory.Overstatement · cited by 935
- CategoryTheory.Over.leftstatement · cited by 541
- CategoryTheory.Over.homstatement · cited by 370
- CategoryTheory.MonoOverstatement and proof · cited by 115
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