Theorems · Theorem · global analysis

contDiffGroupoid_zero_eq

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] {H : Type u_3} [inst_3 : TopologicalSpace H] {I : ModelWithCorners 𝕜 E H},
  contDiffGroupoid 0 I = continuousGroupoid H

The groupoid of 0-times continuously differentiable maps is just the groupoid of all open partial homeomorphisms

Defined in

Mathlib.Geometry.Manifold.IsManifold.Basic

Cited by

1 results in Mathlib

Foundations

Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceTopologicalSpace