`BookProof.ChapterEulerNState.exists_sin_sq` {q : ℝ} (h0 : 0 ≤ q) (h1 : q ≤ 1) : ∃ θ : ℝ, Real.sin θ ^ 2 = q

Proved

BookProof.ChapterEulerNState.exists_sin_sq

by leonardopedro · Oct 8, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterEulerNState.

BookProof.ChapterEulerNState.exists_sin_sq {q : ℝ} (h0 : 0 ≤ q) (h1 : q ≤ 1) : ∃ θ : ℝ, Real.sin θ ^ 2 = q

Formalization note: Lean 4 identifier BookProof.ChapterEulerNState.exists_sin_sq.

Preamble

-- Generated from ChapterEulerNState.lean — theorem BookProof.ChapterEulerNState.exists_sin_sq
import Mathlib
import Definitions.Def_ChapterEulerNState
open BookProof.ChapterEulerNState


open scoped BigOperators

Formal statement

theorem BookProof.ChapterEulerNState.exists_sin_sq {q : ℝ} (h0 : 0 ≤ q) (h1 : q ≤ 1) :
    ∃ θ : ℝ, Real.sin θ ^ 2 = q := by sorry

View graph