Theorems · Theorem · category theory

CategoryTheory.Functor.ShiftSequence.leftComp_sequence

∀ {C : Type u_1} {D : Type u_2} {A : Type u_3} [inst : CategoryTheory.Category.{v_1, u_1} C]
  [inst_1 : CategoryTheory.Category.{v_2, u_2} D] [inst_2 : CategoryTheory.Category.{v_3, u_3} A]
  {F : CategoryTheory.Functor C A} {π : CategoryTheory.Functor C D} {H : CategoryTheory.Functor D A} (e : π.comp H ≅ F)
  (M : Type u_4) [inst_3 : AddMonoid M] [inst_4 : CategoryTheory.HasShift C M] [inst_5 : CategoryTheory.HasShift D M]
  [inst_6 : π.CommShift M] [inst_7 : H.ShiftSequence M] (n : M),
  CategoryTheory.Functor.ShiftSequence.sequence F n = π.comp (H.shift n)

Defined in

Mathlib.CategoryTheory.Shift.ShiftSequence

Cited by

0 results in Mathlib

Foundations

Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryAddMonoidCategoryTheory.HasShiftCategoryTheory.HasShiftCategoryTheory.Functor.CommShiftCategoryTheory.Functor.ShiftSequence