Theorems · Theorem · category theory

HomologicalComplex.extend_exactAt

∀ {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.Limits.HasZeroMorphisms C]
  [inst_2 : CategoryTheory.Limits.HasZeroObject C] (K : HomologicalComplex C c) (e : c.Embedding c') (j' : ι'),
  (∀ (j : ι), e.f j ≠ j') → (K.extend e).ExactAt j'

Defined in

Mathlib.Algebra.Homology.Embedding.ExtendHomology

Cited by

1 results in Mathlib

Foundations

Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Limits.HasZeroObject