Theorems · Theorem · category theory
CategoryTheory.Quotient.natIsoLift_hom
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] (r : HomRel C) {D : Type u_2}
[inst_1 : CategoryTheory.Category.{v_2, u_2} D] {F G : CategoryTheory.Functor (CategoryTheory.Quotient r) D}
(τ : (CategoryTheory.Quotient.functor r).comp F ≅ (CategoryTheory.Quotient.functor r).comp G),
(CategoryTheory.Quotient.natIsoLift r τ).hom = CategoryTheory.Quotient.natTransLift r τ.hom- Defined in
- Mathlib.CategoryTheory.Quotient
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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.Functorstatement and proof · cited by 16,252
- CategoryTheory.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.Functor.compstatement and proof · cited by 6,529
- CategoryTheory.Isostatement and proof · cited by 3,963
- HomRelstatement and proof · cited by 49
- CategoryTheory.Quotientstatement and proof · cited by 48
- CategoryTheory.Quotient.functorstatement and proof · cited by 41
- CategoryTheory.Quotient.natTransLiftstatement · cited by 7
- CategoryTheory.Quotient.natIsoLiftstatement and proof · cited by 2
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