Theorems · Theorem · category theory

CategoryTheory.Mon.limitConeIsLimit_lift_hom

∀ {J : Type w} [inst : CategoryTheory.Category.{v_1, w} J] {C : Type u} [inst_1 : CategoryTheory.Category.{v, u} C]
  [inst_2 : CategoryTheory.MonoidalCategory C] (F : CategoryTheory.Functor J (CategoryTheory.Mon C))
  (c : CategoryTheory.Limits.Cone (F.comp (CategoryTheory.Mon.forget C))) (hc : CategoryTheory.Limits.IsLimit c)
  (s : CategoryTheory.Limits.Cone F),
  ((CategoryTheory.Mon.limitConeIsLimit F c hc).lift s).hom = hc.lift ((CategoryTheory.Mon.forget C).mapCone s)

Defined in

Mathlib.CategoryTheory.Monoidal.Internal.Limits

Cited by

0 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategory