instIsManifoldModelSpace — Mathlib

English

For any model with corners, the model space H is a C^n manifold.

Русский

Для любой модели с углами пространство модели H является C^n манйфолд.

LaTeX

$$$IsManifold I n H$ for all I$$

Lean4

/-- For any model with corners, the model space is a `C^n` manifold -/
instance instIsManifoldModelSpace {𝕜 : Type*} [NontriviallyNormedField 𝕜] {E : Type*} [NormedAddCommGroup E]
    [NormedSpace 𝕜 E] {H : Type*} [TopologicalSpace H] {I : ModelWithCorners 𝕜 E H} {n : WithTop ℕ∞} :
    IsManifold I n H :=
  { hasGroupoid_model_space _ _ with }

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