Theorems · Theorem · category theory
CategoryTheory.Bicategory.precomposing_obj
∀ {B : Type u} [inst : CategoryTheory.Bicategory B] (a b c : B) (f : a ⟶ b),
(CategoryTheory.Bicategory.precomposing a b c).obj f = CategoryTheory.Bicategory.precomp c f- Defined in
- Mathlib.CategoryTheory.Bicategory.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Bicategory
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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.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Bicategory.precompstatement · cited by 40
- CategoryTheory.Bicategory.precomposingstatement and proof · cited by 11
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