Two small large T lower window impossible

Proved

D1Bound5.two_small_large_T_lower_window_impossible

by tp · Oct 23, 2026 · Mathlib 0df444a (Lean v4.33.1)

diophantine-tuplesnumber-theory

Auxiliary result two_small_large_T_lower_window_impossible in the proof of the bound five for Diophantine D(1) sets in imaginary quadratic integer rings. The formal statement specifies its hypotheses and conclusion; a mathematical prose description remains to be supplied.

Preamble

import Mathlib.Data.Real.Basic
import Mathlib.Tactic

Formal statement

section
namespace D1Bound5

theorem _root_.D1Bound5.two_small_large_T_lower_window_impossible
    (B S T C : ℝ) (hB : 0 < B) (hB3 : B < 3) (hS : 0 < S)
    (hS8 : S < (10 : ℝ)^8) (hT : (10 : ℝ)^72 ≤ T) (hTC : T ≤ C) :
    ¬ C < 101*B^2*S^4/T := by sorry







end D1Bound5
end

Source

D1Bound5/TwoSmallLargeTScalar.lean, lines 6-22, SHA-256 1b6203efdcea0221de771d1a60328cc585980bd3f0ccf1c486409156e649ed47. Project: https://github.com/tomislav-math/d1-bound5-lean

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