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Theorems · Theorem · number theory

Bertrand.real_main_inequality

∀ {x : ℝ}, 512 ≤ x → x * (2 * x) ^ √(2 * x) * 4 ^ (2 * x / 3) ≤ 4 ^ x

A refined version of the Bertrand.main_inequality below. This is not best possible: it actually holds for 464 ≤ x.

Defined in
Mathlib.NumberTheory.Bertrand
Cited by
1 results in Mathlib
Foundations
Depth 213 from the axioms · uses propext, Classical.choice, Quot.sound

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