Ordinary Log10 ge four

Proved

D1Bound5.ordinaryLog10_ge_four

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

diophantine-tuplesnumber-theory

Auxiliary result ordinaryLog10_ge_four 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.Algebra.Order.Floor.Semiring
import Mathlib.Analysis.SpecialFunctions.Log.Basic
import Mathlib.Tactic
import Definitions.Def_D1Bound5_OrdinaryLog10_Definitions

Formal statement

section
namespace D1Bound5



theorem _root_.D1Bound5.ordinaryLog10_ge_four {S : ℝ} (hS : 10000 ≤ S) :
    4 ≤ ordinaryLog10 S := by sorry





end D1Bound5
end

Source

D1Bound5/UnitPairHeightCutoff.lean, lines 11-15, SHA-256 0c2e2f5d6333fc3971f549ba84e0129a097627670f990f7ead321a035b9be11c. Project: https://github.com/tomislav-math/d1-bound5-lean

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