Theorems · Theorem · category theory
CategoryTheory.ShrinkHoms.functor_obj
∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.LocallySmall.{w, v, u} C] (X : C),
(CategoryTheory.ShrinkHoms.functor C).obj X = CategoryTheory.ShrinkHoms.toShrinkHoms X- Defined in
- Mathlib.CategoryTheory.EssentiallySmall
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
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
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.LocallySmallstatement and proof · cited by 242
- CategoryTheory.ShrinkHomsstatement · cited by 34
- CategoryTheory.ShrinkHoms.functorstatement and proof · cited by 5
- CategoryTheory.ShrinkHoms.toShrinkHomsstatement · cited by 3
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