Theorems · Theorem · category theory

CategoryTheory.Comma.preLeft_map_left

∀ {A : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} A] {B : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} B]
  {T : Type u₃} [inst_2 : CategoryTheory.Category.{v₃, u₃} T] {C : Type u₄}
  [inst_3 : CategoryTheory.Category.{v₄, u₄} C] (F : CategoryTheory.Functor C A) (L : CategoryTheory.Functor A T)
  (R : CategoryTheory.Functor B T) {X Y : CategoryTheory.Comma (F.comp L) R} (f : X ⟶ Y),
  ((CategoryTheory.Comma.preLeft F L R).map f).left = F.map f.left

Defined in

Mathlib.CategoryTheory.Comma.Basic

Cited by

0 results in Mathlib

Foundations

Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category