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feat(TMEEMT): fill Buthe.theorem_a/b from the Buthe.lean statements - #1764

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AlexKontorovich:mainfrom
Chessing234:feat/tmeemt-buthe-ab-from-buthe
Aug 30, 2026
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feat(TMEEMT): fill Buthe.theorem_a/b from the Buthe.lean statements#1764
teorth merged 3 commits into
AlexKontorovich:mainfrom
Chessing234:feat/tmeemt-buthe-ab-from-buthe

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@Chessing234 Chessing234 commented Aug 26, 2026

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Fixes #1760.

Motivation

TMEEMT asks to fill sorrys that are already stated elsewhere. Buthe.theorem_a and Buthe.theorem_b are the absolute-error / li−π forms of the existing Buthe.lean statements theorem_2a / theorem_2e+theorem_2f.

Scope

  • theorem_a: rewrite Eψ x ≤ 0.94 / √x as |ψ x - x| ≤ 0.94 √x on 11 < x ≤ 10^19.
  • theorem_b: conjunction of theorem_2f and theorem_2e on 2 ≤ x ≤ 10^19.
  • No other declaration touched.

Test plan

  • lake build PrimeNumberTheoremAnd.IEANTN.TMEEMT — not run locally yet (mathlib clone still in progress). CI covers it.
  • No new warnings other than declaration uses 'sorry'. The two TMEEMT Buthe sorrys go away; they still depend on the existing sorrys in Buthe.lean.

@github-actions github-actions Bot added ai Formalised using AI. cursor Formalized using Cursor labels Aug 26, 2026
@teorth
teorth merged commit 4632b5f into AlexKontorovich:main Aug 30, 2026
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[TMEEMT/Buthe]: Fill theorem_a/b from the existing Buthe.lean statements

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