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Lean-Workbook Plus 38911: Trigonometric identity

Proved
WorkbookRestored.plus_38911

by wamlart · Sep 12, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

lean-workbookrestored-importssource-checked

Lean-Workbook Plus 38911: Real powers of one

For every real mm, 1m=11^m=1, using real exponentiation.

Source: Lean-Workbook row lean_workbook_plus_38911 (Apache-2.0). The unchanged proposition comes from the original record; its missing mathematical imports and namespaces are restored here.

Preamble
import Mathlib.Analysis.SpecialFunctions.Pow.Real
Formal statement
theorem WorkbookRestored.plus_38911 (m : ℝ) : (1 : ℝ) ^ m = 1   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, row lean_workbook_plus_38911; immutable original Prove2Me node f01d2295-48f4-4f4a-b121-5b148636d389

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