Theorems · Theorem · category theory
CategoryTheory.Bicategory.precomp_map
∀ {B : Type u} [inst : CategoryTheory.Bicategory B] {a b : B} (c : B) (f : a ⟶ b) {X Y : b ⟶ c} (x : X ⟶ Y),
(CategoryTheory.Bicategory.precomp c f).map x = CategoryTheory.Bicategory.whiskerLeft f x- Defined in
- Mathlib.CategoryTheory.Bicategory.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
- Assumes
- CategoryTheory.Bicategory
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Bicategory.whiskerLeftstatement · cited by 524
- CategoryTheory.Bicategory.precompstatement and proof · cited by 40
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.Lan.CommuteWith.of_lan_comp_isoproof · cited by 0