Ordinary Log10 base pos

Proved

D1Bound5.ordinaryLog10_base_pos

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

diophantine-tuplesnumber-theory

Auxiliary result ordinaryLog10_base_pos 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

Formal statement

section
namespace D1Bound5



theorem _root_.D1Bound5.ordinaryLog10_base_pos : 0 < Real.log (10 : ℝ) := by sorry



















end D1Bound5
end

Source

D1Bound5/OrdinaryLog10.lean, lines 7-8, SHA-256 09aeaea7ebd8948074c88ecfb8ed793209871b3b024d7443a02f1048da4ea91c. Project: https://github.com/tomislav-math/d1-bound5-lean

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