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Frontier Table Row — parameters

Proved
D1Bound5.FrontierTableRow.parameters

by tp · Oct 24, 2026 · Mathlib 0df444a (Lean v4.33.1)

diophantine-tuplesnumber-theory

All listed parameter rows satisfy the positivity and ordering conditions needed by the determinant estimate.

Preamble
import Mathlib.Data.Real.Basic
import Mathlib.Tactic.FieldSimp
import Mathlib.Tactic.GCongr
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Positivity
import Mathlib.Tactic.Ring
import Definitions.Def_D1Bound5_FrontierScalarReduction_Definitions
import Definitions.Def_D1Bound5_FrontierTableNumeric_Definitions

Formal statement
section
namespace D1Bound5




theorem _root_.D1Bound5.FrontierTableRow.parameters {alpha beta target : ℝ}
    (h : FrontierTableRow alpha beta target) :
    0 < alpha ∧ 3 ≤ beta ∧ alpha ≤ beta ∧ 5 < alpha*beta ∧
      0 ≤ frontierK alpha beta ∧ 0 ≤ frontierL alpha beta ∧
      0 ≤ frontierQ alpha beta := by sorry



end D1Bound5
end
Source
D1Bound5/FrontierTableNumeric.lean, lines 13-22, SHA-256 fdb5110fd7c01a02f52f2b7aca40f48eff76285798bc764522ee4ed8858163e4. Project: https://github.com/tomislav-math/d1-bound5-lean

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