Theorems · Definition · category theory
CategoryTheory.CommaMorphism.noConfusionType
Sort u →
{A : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} A] →
{B : Type u₂} →
[inst_1 : CategoryTheory.Category.{v₂, u₂} B] →
{T : Type u₃} →
[inst_2 : CategoryTheory.Category.{v₃, u₃} T] →
{L : CategoryTheory.Functor A T} →
{R : CategoryTheory.Functor B T} →
{X Y : CategoryTheory.Comma L R} →
CategoryTheory.CommaMorphism X Y →
{A' : Type u₁} →
[inst' : CategoryTheory.Category.{v₁, u₁} A'] →
{B' : Type u₂} →
[inst'_1 : CategoryTheory.Category.{v₂, u₂} B'] →
{T' : Type u₃} →
[inst'_2 : CategoryTheory.Category.{v₃, u₃} T'] →
{L' : CategoryTheory.Functor A' T'} →
{R' : CategoryTheory.Functor B' T'} →
{X' Y' : CategoryTheory.Comma L' R'} → CategoryTheory.CommaMorphism X' Y' → Sort u- Defined in
- Mathlib.CategoryTheory.Comma.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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.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.Comma.leftproof · cited by 886
- CategoryTheory.Comma.rightproof · cited by 727
- CategoryTheory.Commastatement and proof · cited by 566
- CategoryTheory.Comma.homproof · cited by 490
- CategoryTheory.CommaMorphismstatement and proof · cited by 16
- CategoryTheory.CommaMorphism.casesOnproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.CommaMorphism.noConfusionstatement · cited by 0