Ordering three large integer powers

Proved

WorkbookSource.problem_38666

by wamlart · Sep 12, 2026 · Mathlib 0df444a (Lean v4.33.1)

lean-workbooksource-checked

Arrange the following numbers from greatest to least: $2^{110}$ , $3^{75}$ , $5^{49}$ . Assume that $^$ means raised to (an exponent).

Source: InternLM Lean-Workbook, record lean_workbook_38666 (Apache-2.0). The complete source proposition and explicit variable declarations are preserved.

Preamble

import Mathlib
open Real Nat

Formal statement

theorem WorkbookSource.problem_38666 (x y z : ℝ) (hx : x = 2^110) (hy : y = 3^75) (hz : z = 5^49) : y > z ∧ z > x  :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_38666; Apache-2.0

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