Theorems · Theorem · global analysis

ModelWithCorners.isSmoothEmbedding

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E₁ : Type u_2} [inst_1 : NormedAddCommGroup E₁]
  [inst_2 : NormedSpace 𝕜 E₁] {H : Type u_6} [inst_3 : TopologicalSpace H] {I : ModelWithCorners 𝕜 E₁ H} {n : ℕ},
  Manifold.IsSmoothEmbedding I (modelWithCornersSelf 𝕜 E₁) ↑n ↑I

Every ModelWithCorners 𝕜 E H is a smooth embedding when viewed as a map H → E.

Defined in

Mathlib.Geometry.Manifold.SmoothEmbedding

Cited by

0 results in Mathlib

Foundations

Depth 211 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceTopologicalSpace