OAI/Algebra/Finitistic/Localization/NativeSingleEvaluation.lean

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1 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.LittleFinitistic.BimoduleTotal.BoundedProjective.nativeSingleEvaluation line 15

    Source documentation

    Native degree-zero module embedding, with the module's original compatible scalar action.

    def nativeSingleEvaluation (N : Type u) [AddCommGroup N] [Module k N] [Module B N]
        [IsScalarTower k B N] :
        data.derived.obj ((DerivedCategory.singleFunctor (ModuleCat.{u} B) 0).obj (ModuleCat.of B N)) ≅
          DerivedCategory.Q.obj (((BimoduleBalancedTensor.functor k B N).mapHomologicalComplex (.up ℤ)).obj P) :=
    …

    Mentions: OAI.LittleFinitistic.BimoduleBalancedTensor.functor