ι : Type u_1
V : Type u
inst✝¹ : Category V
inst✝ : HasZeroMorphisms V
c : ComplexShape ι
C : HomologicalComplex V c
j : ι
r : ComplexShape.Rel c (ComplexShape.prev c j) j
⊢ dTo C j = (xPrevIso C r).hom ≫ d C (ComplexShape.prev c j) j
ι : Type u_1
V : Type u
inst✝¹ : Category V
inst✝ : HasZeroMorphisms V
c : ComplexShape ι
C : HomologicalComplex V c
i j : ι
r : ComplexShape.Rel c i j
⊢ dTo C j = (xPrevIso C r).hom ≫ d C i j
obtain rfl := c.prev_eq' r
no goals
ι : Type u_1
V : Type u
inst✝¹ : Category V
inst✝ : HasZeroMorphisms V
c : ComplexShape ι
C : HomologicalComplex V c
j : ι
r : ComplexShape.Rel c (ComplexShape.prev c j) j
⊢ dTo C j = (xPrevIso C r).hom ≫ d C (ComplexShape.prev c j) j
exact (Category.id_comp _).symm