Theorems · Theorem · category theory
CategoryTheory.Localization.Construction.uniq
∀ {C : Type uC} [inst : CategoryTheory.Category.{uC', uC} C] {W : CategoryTheory.MorphismProperty C} {D : Type uD}
[inst_1 : CategoryTheory.Category.{uD', uD} D] (G₁ G₂ : CategoryTheory.Functor W.Localization D),
W.Q.comp G₁ = W.Q.comp G₂ → G₁ = G₂- Cited by
- 2 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
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.Homproof · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.Functor.compstatement and proof · cited by 6,529
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.eqToHomproof · cited by 860
- CategoryTheory.MorphismProperty.Qstatement and proof · cited by 98
- CategoryTheory.Pathsproof · cited by 82
- CategoryTheory.MorphismProperty.Localizationstatement and proof · cited by 72
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.IsLocalization.mk'proof · cited by 6
- CategoryTheory.Localization.strictUniversalPropertyFixedTargetQproof · cited by 2
- CategoryTheory.Localization.StrictUniversalPropertyFixedTarget.prod_uniqproof · cited by 0