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Lean-Workbook Plus 78333: An affine angle has a unique value in the first quadrant

Proved
WorkbookRestored.plus_78333

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

lean-workbookrestored-importssource-checked

For 0<θ<π/20<\theta<\pi/20<θ<π/2, there is exactly one u∈(0,π/2)u\in(0,\pi/2)u∈(0,π/2) satisfying u=(θ+π)/3u=(\theta+\pi)/3u=(θ+π)/3.

Source: Lean-Workbook row lean_workbook_plus_78333 (Apache-2.0), original record. This repair only restores required imports and namespaces; the mathematical declaration is unchanged.

Preamble
import Mathlib.Analysis.SpecialFunctions.Trigonometric.Basic
open Real
Formal statement
theorem WorkbookRestored.plus_78333 (n : ℕ) (θ_n : ℝ) (h₁ : 0 < θ_n ∧ θ_n < π/2) : ∃! θ_n1 : ℝ, θ_n1 = (θ_n + π)/3 ∧ 0 < θ_n1 ∧ θ_n1 < π/2   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, row lean_workbook_plus_78333; immutable original Prove2Me node 738decfb-7be2-4891-a5ba-f51b1225f8ad

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