OAI/Analysis/Mahler/SourceCoordinateExterior.lean

GitHub source file

3 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.Mahler.extDeriv_sourceCoordinateForm line 13
  2. theorem OAI.Mahler.MassHypotheses.coordinate_energy_extDeriv line 31
  3. theorem OAI.Mahler.MassHypotheses.coordinate_log_extDeriv_nonneg line 41

    Source documentation

    The punctured Stokes integrand is nonnegative, using the nonnegative logarithmic complex Hessian in the positive frame.

    theorem MassHypotheses.coordinate_log_extDeriv_nonneg (h : MassHypotheses (k+1) N m U f G)
        {x : Fin ((2*k+1)+1) → ℝ} (hx : sourceCoordinates k x ∈ U) (hne : x ≠ 0) :
        0 ≤ extDeriv (sourceCoordinateForm (sourceCoordinates k) (logTau f) k) x
          (MahlerStokes.coordinateBasis ((2*k+1)+1)) := by
    …

    Mentions: OAI.Mahler.MassHypotheses, OAI.Mahler.sourceCoordinates, OAI.Mahler.sourceCoordinateForm, OAI.Mahler.logTau, OAI.MahlerStokes.coordinateBasis