Theorems · Theorem · category theory
CategoryTheory.Bicategory.precomposing_map_app
∀ {B : Type u} [inst : CategoryTheory.Bicategory B] (a b c : B) {X Y : a ⟶ b} (η : X ⟶ Y) (x : b ⟶ c),
((CategoryTheory.Bicategory.precomposing a b c).map η).app x = CategoryTheory.Bicategory.whiskerRight η x- 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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- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Bicategory.whiskerRightstatement · cited by 531
- CategoryTheory.Bicategory.precompstatement · cited by 40
- CategoryTheory.Bicategory.precomposingstatement and proof · cited by 11
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