Theorems · Theorem · category theory
CategoryTheory.Aut.ext
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X : C} {φ₁ φ₂ : CategoryTheory.Aut X},
φ₁.hom = φ₂.hom → φ₁ = φ₂- Defined in
- Mathlib.CategoryTheory.Endomorphism
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 15 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.
Cites5
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
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.Iso.extproof · cited by 166
- CategoryTheory.Autstatement and proof · cited by 96
Cited by5
Results whose statement or proof uses this declaration.
- CategoryTheory.PreGaloisCategory.evaluation_aut_injective_of_isConnectedproof · cited by 6
- TannakaDuality.FiniteGroup.toRightFDRepComp_injectiveproof · cited by 1
- CategoryTheory.PreGaloisCategory.autEmbedding_injectiveproof · cited by 1
- CategoryTheory.Iso.conjAut_applyproof · cited by 1
- CategoryTheory.Aut.ext_iffproof · cited by 0