Theorems · Theorem · global analysis

contMDiff_snd_tangentBundle_modelSpace

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {n : WithTop ℕ∞} {E : Type u_2} [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] (H : Type u_4) [inst_3 : TopologicalSpace H] (I : ModelWithCorners 𝕜 E H),
  ContMDiff I.tangent (modelWithCornersSelf 𝕜 E) n fun p => p.snd

In the tangent bundle to the model space, the second projection is C^n.

Defined in

Mathlib.Geometry.Manifold.VectorBundle.Tangent

Cited by

2 results in Mathlib

Foundations

Depth 220 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceTopologicalSpace