Theorems · Theorem · category theory

CategoryTheory.composePath_id

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {X : CategoryTheory.Paths C},
  CategoryTheory.composePath (CategoryTheory.CategoryStruct.id X) =
    CategoryTheory.CategoryStruct.id
      (have this := X;
      this)

Defined in: Mathlib.CategoryTheory.PathCategory.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 13 from the axioms · uses propext
Assumes: CategoryTheory.Category

Mathlib docs Source Loogle LeanSearch

Around this declaration

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

Cites5

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.CategoryStruct.idstatement · cited by 6,235
CategoryTheory.Pathsstatement and proof · cited by 82
CategoryTheory.composePathstatement · cited by 16

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.