diff --git a/Mathlib/Geometry/Manifold/PoincareConjecture.lean b/Mathlib/Geometry/Manifold/PoincareConjecture.lean index 35a71bbd1c70bb..2d3161b21fd34f 100644 --- a/Mathlib/Geometry/Manifold/PoincareConjecture.lean +++ b/Mathlib/Geometry/Manifold/PoincareConjecture.lean @@ -38,6 +38,7 @@ open ContinuousMap /-- The smooth Poincaré conjecture; true for n = 1, 2, 3, 5, 6, 12, 56, and 61, open for n = 4, and it is conjectured that there are no other n > 4 for which it is true (Conjecture 1.17, https://annals.math.princeton.edu/2017/186-2/p03). -/ -def ContinuousMap.HomotopyEquiv.NonemptyDiffeomorphSphere (n : ℕ) : Prop := +@[nolint unusedArguments] +def ContinuousMap.HomotopyEquiv.NonemptyDiffeomorphSphere [T2Space M] (n : ℕ) : Prop := ∀ (_ : ChartedSpace ℝⁿ M) (_ : IsManifold (𝓡 n) ∞ M), M ≃ₕ 𝕊ⁿ → Nonempty (M ≃ₘ⟮𝓡 n, 𝓡 n⟯ 𝕊ⁿ)