Theorems · Theorem · category theory

HomologicalComplex.exactAt_of_isSupported

∀ {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') [K.IsSupported e] (i' : ι'), (∀ (i : ι), e.f i ≠ i') → K.ExactAt i'

Defined in

Mathlib.Algebra.Homology.Embedding.IsSupported

Cited by

11 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsHomologicalComplex.IsSupported