Theorems · Theorem · category theory

ComplexShape.Embedding.truncLEFunctor_map

∀ {ι : Type u_1} {ι' : Type u_2} {c : ComplexShape ι} {c' : ComplexShape ι'} (e : c.Embedding c') [inst : e.IsTruncLE]
  (C : Type u_4) [inst_1 : CategoryTheory.Category.{v_2, u_4} C] [inst_2 : CategoryTheory.Limits.HasZeroMorphisms C]
  [inst_3 : CategoryTheory.Limits.HasZeroObject C] [inst_4 : CategoryTheory.CategoryWithHomology C]
  {X Y : HomologicalComplex C c'} (φ : X ⟶ Y), (e.truncLEFunctor C).map φ = HomologicalComplex.truncLEMap φ e

Defined in

Mathlib.Algebra.Homology.Embedding.TruncLE

Cited by

0 results in Mathlib

Foundations

Depth 47 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

ComplexShape.Embedding.IsTruncLECategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Limits.HasZeroObjectCategoryTheory.CategoryWithHomology