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Finite Homogeneous Two norm le ratio

Proved
D1Bound5.finiteHomogeneousTwo_norm_le_ratio

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

diophantine-tuplesnumber-theory

Retain the exact first-anchor ratio in each actual homogeneous coefficient polynomial, instead of replacing both anchor moduli by B.

Preamble
import Lean.Elab.Tactic.Omega
import Mathlib.Algebra.BigOperators.Fin
import Mathlib.Analysis.Complex.Basic
import Mathlib.Analysis.Normed.Ring.Basic
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_FiniteHomogeneousRatio_Definitions
import Definitions.Def_D1Bound5_FiniteHomogeneousTwo_Definitions

Formal statement
section
noncomputable section

namespace D1Bound5






theorem _root_.D1Bound5.finiteHomogeneousTwo_norm_le_ratio (n : ℕ) (v : Fin (n+1) → ℤ)
    (x y : ℂ) (r : ℝ) (hr : 0 ≤ r) (hxy : ‖x‖ ≤ r*‖y‖) :
    ‖finiteHomogeneousTwo n v x y‖ ≤ finiteHomogeneousRatioWeight n v r*‖y‖^n := by sorry







end D1Bound5
end
Source
D1Bound5/FiniteHomogeneousRatio.lean, lines 14-32, SHA-256 15c96a58b594b4317eb87dac7d3be380eb2b464b0233e171dc57af6894fda59b. Project: https://github.com/tomislav-math/d1-bound5-lean

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