Finite A5 five region height slack

import Lean.Elab.Tactic.Omega
import Mathlib.Algebra.BigOperators.Fin
import Mathlib.Analysis.Complex.Basic
import Mathlib.Analysis.Normed.Ring.Basic
import Mathlib.LinearAlgebra.Matrix.Determinant.Basic
import Mathlib.LinearAlgebra.Matrix.NonsingularInverse
import Mathlib.Tactic
import Mathlib.Tactic.Convert
import Mathlib.Tactic.GCongr
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.NormNum
import Mathlib.Tactic.Positivity
import Mathlib.Tactic.Ring
import Definitions.Def_D1Bound5_FiniteA5RatioHeight_Definitions
import Definitions.Def_D1Bound5_FiniteHomogeneousRatio_Definitions

section
noncomputable section

namespace D1Bound5









set_option maxHeartbeats 4000000 in

theorem _root_.D1Bound5.finiteA5_five_region_height_slack (region : Fin 5) (i : Fin 3) :
    (101/100 : ℝ)*(∑ ell : Fin 6,
      finiteA5RatioWeights (fiveRegionAnchorRatio region) i ell/(1000 : ℝ)^(5-(ell : ℕ))) <
      fiveRegionA5Height region := by sorry



end D1Bound5
end