Theorems · Theorem · category theory

HomologicalComplex.mono_homologyMap_shortComplexTruncLE_g

∀ {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] (i' : ι'),
  (∀ (i : ι), e.f i ≠ i') → CategoryTheory.Mono (HomologicalComplex.homologyMap (K.shortComplexTruncLE e).g i')

Defined in

Mathlib.Algebra.Homology.Embedding.TruncLEHomology

Cited by

1 results in Mathlib

Foundations

Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.AbelianComplexShape.Embedding.IsTruncLE