Theorems · Theorem · manifolds
chart_mem_atlas
∀ (H : Type u_5) {M : Type u_6} [inst : TopologicalSpace H] [inst_1 : TopologicalSpace M] [inst_2 : ChartedSpace H M]
(x : M), chartAt H x ∈ atlas H M- Defined in
- Mathlib.Geometry.Manifold.ChartedSpace
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- ChartedSpacestatement and proof · cited by 2,397
- OpenPartialHomeomorphstatement · cited by 664
- chartAtstatement · cited by 301
- atlasstatement · cited by 60
- ChartedSpace.chart_mem_atlasproof · cited by 5
Cited by10
Results whose statement or proof uses this declaration.
- achartproof · cited by 25
- StructureGroupoid.chart_mem_maximalAtlasproof · cited by 5
- ModelWithCorners.isInteriorPoint_iff_of_mem_atlasproof · cited by 2
- StructureGroupoid.compatible_of_mem_maximalAtlasproof · cited by 2
- mdifferentiable_chartproof · cited by 2
- ModelWithCorners.isOpen_interiorproof · cited by 1
- StructureGroupoid.subtypeRestr_mem_maximalAtlasproof · cited by 1
- tangentMap_chart_symmproof · cited by 0
- achart_defstatement · cited by 0
- tangentMap_chartproof · cited by 0