Theorems · Definition · category theory

ComplexShape.Embedding.HasLift

{ι : Type u_1} →
  {ι' : Type u_2} →
    {c : ComplexShape ι} →
      {c' : ComplexShape ι'} →
        (e : c.Embedding c') →
          {C : Type u_3} →
            [inst : CategoryTheory.Category.{v_1, u_3} C] →
              [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
                {K : HomologicalComplex C c'} →
                  {L : HomologicalComplex C c} → [inst_2 : e.IsRelIff] → (K.restriction e ⟶ L) → Prop

The condition on a morphism K.restriction e ⟶ L which allows to extend it as a morphism K ⟶ L.extend e, see Embedding.homEquiv.

Defined in

Mathlib.Algebra.Homology.Embedding.HomEquiv

Cited by

13 results in Mathlib

Foundations

Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsComplexShape.Embedding.IsRelIff