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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 G

The identity CatCospanTransform

Defined in
Mathlib.CategoryTheory.Limits.Shapes.Pullback.Categorical.CatCospanTransform
Cited by
32 results in Mathlib
Foundations
Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.Limits.CatCospanTransform.leftUnitor · cited by 13CatCospanTransform.leftUn…CategoryTheory.Limits.CatCospanTransform.rightUnitor · cited by 13CatCospanTransform.rightU…CategoryTheory.Limits.CategoricalPullback.CatCommSqOver.transformObjId · cited by 7CatCommSqOver.transformOb…CategoryTheory.Limits.CatCospanTransform.triangle · cited by 1CatCospanTransform.triang…CategoryTheory.Limits.CatCospanTransform.triangle_inv · cited by 1CatCospanTransform.triang…CategoryTheory.Limits.CatCospanTransform.whiskerRight_id · cited by 1CatCospanTransform.whiske…CategoryTheory.Limits.CatCospanTransform.id_whiskerLeft · cited by 1CatCospanTransform.id_whi…CategoryTheory.Limits.CatCospanTransform.leftUnitor_hom_base_app · cited by 0CatCospanTransform.leftUn…CategoryTheory.Limits.CatCospanTransform.leftUnitor_hom_left_app · cited by 0CatCospanTransform.leftUn…CategoryTheory.Limits.CatCospanTransform.leftUnitor_hom_right_app · cited by 0CatCospanTransform.leftUn…CategoryTheory.Limits.CatCospanTransform.leftUnitor_inv_base_app · cited by 0CatCospanTransform.leftUn…CategoryTheory.Limits.CatCospanTransform.leftUnitor_inv_left_app · cited by 0CatCospanTransform.leftUn…CategoryTheory.Limits.CatCospanTransform.leftUnitor_inv_right_app · cited by 0CatCospanTransform.leftUn…CategoryTheory.Limits.CategoricalPullback.CatCommSqOver.transformObjId_hom_app_fst_app · cited by 0CatCommSqOver.transformOb…CategoryTheory.Limits.CategoricalPullback.CatCommSqOver.transformObjId_hom_app_snd_app · cited by 0CatCommSqOver.transformOb…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.Functor.id · cited by 3333Functor.idCategoryTheory.Limits.CatCospanTransform · cited by 132Limits.CatCospanTransformCatCospanTransform.idCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by35

Results whose statement or proof uses this declaration.