OAI/Algebra/Finitistic/Ordinary/OrdinaryDerivedSquareComparison.lean

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1 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.LittleFinitistic.OrdinarySimulation.XResolution.derivedSquareComparison line 21

    Source documentation

    The actual native derived square comparison on every complex Z, with first-block support. Both tensor functors are the localization lifts of their verified bounded projective models.

    def derivedSquareComparison (Z : CochainComplex (ModuleCat.{u} B) ℤ) :
        (derivedTensor P a l).obj ((derivedTensor P a l).obj
          ((BlockModule.derivedFirst B (B ⊗[k] ChainAlgebra k l)).obj (DerivedCategory.Q.obj Z))) ≅
        (BlockModule.derivedFirst B (B ⊗[k] ChainAlgebra k l)).obj
          ((shiftedDerivedTensor P b l).obj (DerivedCategory.Q.obj Z)) :=
    …

    Mentions: OAI.LittleFinitistic.OrdinarySimulation.XResolution.derivedTensor, OAI.LittleFinitistic.BlockModule.derivedFirst, OAI.LittleFinitistic.OrdinarySimulation.ChainAlgebra, OAI.LittleFinitistic.OrdinarySimulation.shiftedDerivedTensor