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[TMEEMT/Buthe]: Fill theorem_a/b from the existing Buthe.lean statements #1760

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@Chessing234

Description

The TMEEMT file says to fill sorrys that are already stated elsewhere. Close Buthe.theorem_a and Buthe.theorem_b in TMEEMT.lean as restatements of the existing Buthe.lean theorems:

  • theorem_a: |ψ(x) - x| ≤ 0.94 √x for 11 < x ≤ 10^19 is the absolute-error form of Buthe.theorem_2a (Eψ x ≤ 0.94 / √x).
  • theorem_b: 0 < li(x) - π(x) ≤ (√x / log x) (1.95 + 3.9/log x + 19.5/(log x)²) for 2 ≤ x ≤ 10^19 is Buthe.theorem_2f and Buthe.theorem_2e.

Blueprint

thm:buthe-a and thm:buthe-b in TMEEMT.lean.

Zulip

TBA

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