Theorems · Definition · category theory
CategoryTheory.Limits.CatCospanTransform.id
{A : Type u₁} →
{B : Type u₂} →
{C : Type u₃} →
[inst : CategoryTheory.Category.{v₁, u₁} A] →
[inst_1 : CategoryTheory.Category.{v₂, u₂} B] →
[inst_2 : CategoryTheory.Category.{v₃, u₃} C] →
(F : CategoryTheory.Functor A B) →
(G : CategoryTheory.Functor C B) → CategoryTheory.Limits.CatCospanTransform F G F GThe identity CatCospanTransform
- Cited by
- 32 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.idproof · cited by 3,333
- CategoryTheory.Limits.CatCospanTransformstatement · cited by 132
Cited by35
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.CatCospanTransform.leftUnitorstatement · cited by 13
- CategoryTheory.Limits.CatCospanTransform.rightUnitorstatement · cited by 13
- CategoryTheory.Limits.CategoricalPullback.CatCommSqOver.transformObjIdstatement · cited by 7
- CategoryTheory.Limits.CatCospanTransform.trianglestatement · cited by 1
- CategoryTheory.Limits.CatCospanTransform.triangle_invstatement · cited by 1
- CategoryTheory.Limits.CatCospanTransform.whiskerRight_idstatement · cited by 1
- CategoryTheory.Limits.CatCospanTransform.id_whiskerLeftstatement · cited by 1
- CategoryTheory.Limits.CatCospanTransform.leftUnitor_hom_base_appstatement · cited by 0
- CategoryTheory.Limits.CatCospanTransform.leftUnitor_hom_left_appstatement · cited by 0
- CategoryTheory.Limits.CatCospanTransform.leftUnitor_hom_right_appstatement · cited by 0
- CategoryTheory.Limits.CatCospanTransform.leftUnitor_inv_base_appstatement · cited by 0
- CategoryTheory.Limits.CatCospanTransform.leftUnitor_inv_left_appstatement · cited by 0