OAI/Algebra/Finitistic/Ordinary/OrdinaryBimoduleResolutionProjective.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

  1. instance OAI.LittleFinitistic.OrdinarySimulation.TensorResolution.integerBimoduleRight_projective line 14

    Source documentation

    The actual genuine bimodule resolution is right-projective in every integer degree.

    instance integerBimoduleRight_projective (n : ℤ) :
        Module.Projective (B ⊗[k] ChainAlgebra k l)ᵐᵒᵖ
          (ComplexTensor.rightTerm k (B ⊗[k] ChainAlgebra k l)
            (BimoduleComplexTensor.rightComplex k B (B ⊗[k] ChainAlgebra k l) (integerBimoduleComplex k B l)) n) := by
    …

    Mentions: OAI.LittleFinitistic.OrdinarySimulation.ChainAlgebra, OAI.LittleFinitistic.ComplexTensor.rightTerm, OAI.LittleFinitistic.BimoduleComplexTensor.rightComplex, OAI.LittleFinitistic.OrdinarySimulation.TensorResolution.integerBimoduleComplex

  2. theorem OAI.LittleFinitistic.OrdinarySimulation.TensorResolution.integerBimodule_lower line 24
  3. theorem OAI.LittleFinitistic.OrdinarySimulation.TensorResolution.integerBimodule_upper line 30