Theorems · Theorem · category theory

HomologicalComplex.stupidTruncMap_id

∀ {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]
  [inst_2 : CategoryTheory.Limits.HasZeroObject C] (K : HomologicalComplex C c') (e : c.Embedding c')
  [inst_3 : e.IsRelIff],
  HomologicalComplex.stupidTruncMap (CategoryTheory.CategoryStruct.id K) e =
    CategoryTheory.CategoryStruct.id (K.stupidTrunc e)

Defined in

Mathlib.Algebra.Homology.Embedding.StupidTrunc

Cited by

0 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Limits.HasZeroObjectComplexShape.Embedding.IsRelIff