Theorems · Theorem · category theory

HomologicalComplex.shortComplexTruncLE_shortExact

∀ {ι : Type u_1} {ι' : Type u_2} {c : ComplexShape ι} {c' : ComplexShape ι'} {C : Type u_3}
  [inst : CategoryTheory.Category.{v_1, u_3} C] [inst_1 : CategoryTheory.Abelian C] (K : HomologicalComplex C c')
  (e : c.Embedding c') [inst_2 : e.IsTruncLE], (K.shortComplexTruncLE e).ShortExact

Defined in

Mathlib.Algebra.Homology.Embedding.TruncLEHomology

Cited by

4 results in Mathlib

Foundations

Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.AbelianComplexShape.Embedding.IsTruncLE