Theorems · Theorem · category theory

CategoryTheory.MorphismProperty.CostructuredArrow.toOver_map

∀ {C : Type u_1} {D : Type u_2} [inst : CategoryTheory.Category.{u_3, u_1} C]
  [inst_1 : CategoryTheory.Category.{u_4, u_2} D] (P : CategoryTheory.MorphismProperty D)
  (F : CategoryTheory.Functor C D) (X : D) {X_1 Y : P.CostructuredArrow ⊤ F X} (f : X_1 ⟶ Y),
  (CategoryTheory.MorphismProperty.CostructuredArrow.toOver P F X).map f =
    CategoryTheory.MorphismProperty.Over.homMk (F.map f.left) ⋯ ⋯

Defined in

Mathlib.CategoryTheory.MorphismProperty.Comma

Cited by

0 results in Mathlib

Foundations

Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category