Frontier Table Row — parameters
ProvedD1Bound5.FrontierTableRow.parametersdiophantine-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