Theorems · Theorem · category theory

HomologicalComplex.acyclic_op_iff

∀ {ι : Type u_1} {V : Type u_2} [inst : CategoryTheory.Category.{v_1, u_2} V] {c : ComplexShape ι}
  [inst_1 : CategoryTheory.Limits.HasZeroMorphisms V] (K : HomologicalComplex V c), K.op.Acyclic ↔ K.Acyclic

Defined in

Mathlib.Algebra.Homology.Opposite

Cited by

1 results in Mathlib

Foundations

Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphisms