Theorems · Theorem · category theory
CategoryTheory.ShrinkHoms.functor_map
∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.LocallySmall.{w, v, u} C] {X Y : C}
(f : X ⟶ Y), (CategoryTheory.ShrinkHoms.functor C).map f = (equivShrink (X ⟶ Y)) f- 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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Cites10
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 and proof · cited by 32,603
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- Equivstatement · cited by 8,337
- CategoryTheory.LocallySmallstatement and proof · cited by 242
- Shrinkstatement · cited by 132
- equivShrinkstatement · cited by 118
- CategoryTheory.ShrinkHomsstatement · cited by 34
- CategoryTheory.ShrinkHoms.functorstatement and proof · cited by 5
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