Theorems · Theorem · global analysis

IsManifold.chart_mem_maximalAtlas

∀ {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} {n : WithTop ℕ∞}
  {M : Type u_4} [inst_4 : TopologicalSpace M] [inst_5 : ChartedSpace H M] [IsManifold I n M] (x : M),
  chartAt H x ∈ IsManifold.maximalAtlas I n M

Defined in

Mathlib.Geometry.Manifold.IsManifold.Basic

Cited by

24 results in Mathlib

Foundations

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

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceTopologicalSpaceTopologicalSpaceChartedSpaceIsManifold