OAI/Algebra/Finitistic/Localization/CompletedShiftedCornerEvaluation.lean

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1 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.LittleFinitistic.QuadraticEncoding.completed_shifted_corner_square line 15

    Source documentation

    The same corner action evaluates correctly on every formal shift, including shift 3.

    theorem completed_shifted_corner_square (n : ℤ) :
        (completedDerivedEvaluation X).map
          (((functorExtension₂ (BoundedQ P) (BoundedQ P)).obj (shiftFunctor (BoundedQ P) n)).map
            (quotientCornerEnd e a he)) ≫ (completedShiftedSummandImageIso X e he n).hom =
        (completedShiftedSummandImageIso X e he n).hom ≫ (evaluatedCornerEnd X e a)⟦n⟧' := by
    …

    Mentions: OAI.LittleFinitistic.QuadraticEncoding.completedDerivedEvaluation, OAI.LittleFinitistic.QuadraticEncoding.BoundedQ, OAI.LittleFinitistic.QuadraticEncoding.quotientCornerEnd, OAI.LittleFinitistic.QuadraticEncoding.completedShiftedSummandImageIso, OAI.LittleFinitistic.QuadraticEncoding.evaluatedCornerEnd