Theorems · Definition · category theory

HomologicalComplex.shortComplexTruncLE

{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] →
              HomologicalComplex C c' →
                (e : c.Embedding c') → [e.IsTruncLE] → CategoryTheory.ShortComplex (HomologicalComplex C c')

The cokernel sequence of the monomorphism K.ιTruncLE e.

Defined in

Mathlib.Algebra.Homology.Embedding.TruncLEHomology

Cited by

13 results in Mathlib

Foundations

Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.AbelianComplexShape.Embedding.IsTruncLE