Theorems · Definition · category theory

HomologicalComplex.IsStrictlySupportedOutside.casesOn

{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] →
              {K : HomologicalComplex C c'} →
                {e : c.Embedding c'} →
                  {motive : K.IsStrictlySupportedOutside e → Sort u} →
                    (t : K.IsStrictlySupportedOutside e) →
                      ((isZero : ∀ (i : ι), CategoryTheory.Limits.IsZero (K.X (e.f i))) → motive ⋯) → motive t

Defined in

Mathlib.Algebra.Homology.Embedding.IsSupported

Cited by

0 results in Mathlib

Foundations

Depth 6 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphisms