Theorems · Theorem · global analysis

StructureGroupoid.chart_mem_maximalAtlas

∀ {H : Type u} {M : Type u_2} [inst : TopologicalSpace H] [inst_1 : TopologicalSpace M] [inst_2 : ChartedSpace H M]
  (G : StructureGroupoid H) [HasGroupoid M G] (x : M), chartAt H x ∈ StructureGroupoid.maximalAtlas M G

Defined in

Mathlib.Geometry.Manifold.HasGroupoid

Cited by

5 results in Mathlib

Foundations

Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceChartedSpaceHasGroupoid