Theorems · Definition · category theory
CategoryTheory.ShrinkHoms.inverse
(C : Type u) →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.LocallySmall.{w, v, u} C] → CategoryTheory.Functor (CategoryTheory.ShrinkHoms.{u} C) CImplementation of ShrinkHoms.equivalence.
- Defined in
- Mathlib.CategoryTheory.EssentiallySmall
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- Equiv.symmproof · cited by 3,681
- CategoryTheory.LocallySmallstatement and proof · cited by 242
- equivShrinkproof · cited by 118
- CategoryTheory.ShrinkHomsstatement and proof · cited by 34
- CategoryTheory.ShrinkHoms.fromShrinkHomsproof · cited by 8
Cited by7
Results whose statement or proof uses this declaration.
- CategoryTheory.ShrinkHoms.equivalenceproof · cited by 26
- CategoryTheory.ShrinkHoms.equivalence_inversestatement · cited by 2
- CategoryTheory.ShrinkHoms.inverse_objstatement and proof · cited by 2
- CategoryTheory.ObjectProperty.ind_indproof · cited by 1
- CategoryTheory.ShrinkHoms.equivalence_counitIsostatement · cited by 0
- CategoryTheory.ShrinkHoms.equivalence_unitIsostatement · cited by 0
- CategoryTheory.ShrinkHoms.inverse_mapstatement and proof · cited by 0