Theorems · Theorem · category theory

CategoryTheory.ShortComplex.Exact.g_desc

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Preadditive C]
  {S : CategoryTheory.ShortComplex C} [inst_2 : CategoryTheory.Balanced C] (hS : S.Exact) {A : C} (k : S.X₂ ⟶ A)
  (hk : CategoryTheory.CategoryStruct.comp S.f k = 0) [inst_3 : CategoryTheory.Epi S.g],
  CategoryTheory.CategoryStruct.comp S.g (hS.desc k hk) = k

Defined in

Mathlib.Algebra.Homology.ShortComplex.Exact

Cited by

5 results in Mathlib

Foundations

Depth 48 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.PreadditiveCategoryTheory.BalancedCategoryTheory.Epi