Prove2Me

Ordinary Log10 unit parameters

Proved
D1Bound5.ordinaryLog10_unit_parameters

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

diophantine-tuplesnumber-theory

Auxiliary result ordinaryLog10_unit_parameters 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_unit_parameters :
    ordinaryLog10 42 < (163/100 : ℝ) ∧
    -(2/5 : ℝ) < ordinaryLog10 (2/5) ∧
    ordinaryLog10 253 < (241/100 : ℝ) := by sorry

end D1Bound5
end
Source
D1Bound5/OrdinaryLog10.lean, lines 47-58, SHA-256 09aeaea7ebd8948074c88ecfb8ed793209871b3b024d7443a02f1048da4ea91c. Project: https://github.com/tomislav-math/d1-bound5-lean

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