Theorems · Theorem · category theory

CategoryTheory.Subobject.lower_comm

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {X Y : C}
  (F : CategoryTheory.Functor (CategoryTheory.MonoOver Y) (CategoryTheory.MonoOver X)),
  (CategoryTheory.toThinSkeleton (CategoryTheory.MonoOver Y)).comp (CategoryTheory.Subobject.lower F) =
    F.comp (CategoryTheory.toThinSkeleton (CategoryTheory.MonoOver X))

Defined in

Mathlib.CategoryTheory.Subobject.Basic

Cited by

0 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category