Theorems · Definition · category theory
CategoryTheory.Iso.conjAut
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] → {X Y : C} → (X ≅ Y) → CategoryTheory.Aut X ≃* CategoryTheory.Aut Yconj defines a group isomorphism between groups of automorphisms
- Defined in
- Mathlib.CategoryTheory.Conj
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Isostatement and proof · cited by 3,963
- MulEquivstatement · cited by 1,142
- MulEquiv.symmproof · cited by 482
- CategoryTheory.Autstatement · cited by 96
- MulEquiv.transproof · cited by 53
- CategoryTheory.Iso.conjproof · cited by 16
- Units.mapEquivproof · cited by 16
- CategoryTheory.Aut.unitsEndEquivAutproof · cited by 2
Cited by8
Results whose statement or proof uses this declaration.
- CategoryTheory.Iso.conjAut_applystatement and proof · cited by 1
- CategoryTheory.Iso.conjAut_mulstatement and proof · cited by 1
- CategoryTheory.Functor.map_conjAutstatement · cited by 0
- CategoryTheory.Iso.conjAut_homstatement · cited by 0
- CategoryTheory.Iso.conjAut_powstatement and proof · cited by 0
- CategoryTheory.Iso.conjAut_transstatement · cited by 0
- CategoryTheory.Iso.conjAut_zpowstatement and proof · cited by 0
- CategoryTheory.Iso.trans_conjAutstatement and proof · cited by 0