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Chou.not_hasExponentialGrowth_of_isExponentiallyBounded

Proved

by junyihjy · Sep 21, 2026 · Mathlib 0df444a (Lean v4.33.1)

A finitely generated group which is exponentially bounded does not have exponential growth.

Preamble
import Definitions.Def_Chou_Growth
import Mathlib
Formal statement
namespace Chou

theorem not_hasExponentialGrowth_of_isExponentiallyBounded {G : Type*} [Group G] [Group.FG G] (h : IsExponentiallyBounded G) : ¬ HasExponentialGrowth G := by sorry

end Chou

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