File size: 882 Bytes
d7f9a33 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 | import OAI.Algebra.AuslanderReiten.Ext.AExtActions
import OAI.Algebra.AuslanderReiten.Bar.ModuleBarTensorProducts
namespace OAI
noncomputable section
open CategoryTheory CategoryTheory.Abelian
open scoped TensorProduct ModuleCat.Algebra
namespace ArExplicit.Resolution
universe u
variable {k : Type u} [Field k] [CharP k 2] (q : k)
variable [HasDerivedCategory (ModuleCat.{u} (ArExplicit.T k q ⊗[k] ArExplicit.T k q))]
local notation "T" => ArExplicit.T k q
theorem aFirst_second_commute :
type_of% (ModuleBar.tensorCubics_commute k T T (Simple q) (Simple q)
(CocycleData.p q) (CocycleData.p_isCocycle3 q)
(CocycleData.p q) (CocycleData.p_isCocycle3 q)) :=
ModuleBar.tensorCubics_commute k T T (Simple q) (Simple q)
(CocycleData.p q) (CocycleData.p_isCocycle3 q)
(CocycleData.p q) (CocycleData.p_isCocycle3 q)
end ArExplicit.Resolution
end
end OAI
|