Theorems · Definition · category theory

CochainComplex.truncLEMap

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
      {K L : CochainComplex C ℤ} →
        (K ⟶ L) →
          [inst_2 : CategoryTheory.Limits.HasZeroObject C] →
            [inst_3 : ∀ (i : ℤ), HomologicalComplex.HasHomology K i] →
              [inst_4 : ∀ (i : ℤ), HomologicalComplex.HasHomology L i] → (n : ℤ) → K.truncLE n ⟶ L.truncLE n

The morphism K.truncLE n ⟶ L.truncLE n induced by a morphism K ⟶ L.

Defined in

Mathlib.Algebra.Homology.Embedding.CochainComplex

Cited by

5 results in Mathlib

Foundations

Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Limits.HasZeroObjectHomologicalComplex.HasHomologyHomologicalComplex.HasHomology