OAI/Algebra/Finitistic/Localization/NativeBoundedDerived.lean
2 declarations, 0 contain sorry, 0 declared as axioms
- def
OAI.LittleFinitistic.BimoduleTotal.inducedBoundedProjectiveline 13Source documentation
Build the complete derived-tensor model from the actual native rectification, with no tensor-comparison assumption.
def inducedBoundedProjective {A J R : Type} [Fintype A] [Fintype J] [Fintype R] (s : Quadratic k B (A := A) (J := J) (R := R)) … - def
OAI.LittleFinitistic.BimoduleTotal.BoundedProjective.nativeEvaluationline 36Source documentation
The exact native module-valued degree-zero evaluation, using the module's original compatible k action.
def nativeEvaluation (N : Type u) [AddCommGroup N] [Module k N] [Module B N] [IsScalarTower k B N] : data.derived.obj (DerivedCategory.Q.obj (singleInput B (ModuleCat.of B N))) ≅ DerivedCategory.Q.obj (((BimoduleBalancedTensor.functor k B N).mapHomologicalComplex (.up ℤ)).obj P) := …Mentions: OAI.LittleFinitistic.BimoduleTotal.singleInput, OAI.LittleFinitistic.BimoduleBalancedTensor.functor