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ComplexShape.Associative

When we have six complex shapes c₁, c₂, c₃, c₁₂, c₂₃, c, and total functors HomologicalComplex₂ C c₁ c₂ ⥤ HomologicalComplex C c₁₂, HomologicalComplex₂ C c₁₂ c₃ ⥤ HomologicalComplex C c, HomologicalComplex₂ C c₂ c₃ ⥤ HomologicalComplex C c₂₃, HomologicalComplex₂ C c₁ c₂₂₃ ⥤ HomologicalComplex C c, we get two ways to compute the total complex of a triple complex in HomologicalComplex₃ C c₁ c₂ c₃, then under this assumption [Associative c₁ c₂ c₃ c₁₂ c₂₃ c], these two complexes canonically identify (without introducing signs).

Defined in
Mathlib.Algebra.Homology.ComplexShapeSigns
Shape
6 explicit arguments · adds assoc, ε₁_eq_mul, ε₂_ε₁, ε₂_eq_mul

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