Theorems · Theorem · manifolds
ChartedSpace.chart_mem_atlas
∀ {H : Type u_5} {inst : TopologicalSpace H} {M : Type u_6} {inst_1 : TopologicalSpace M} [self : ChartedSpace H M]
(x : M), ChartedSpace.chartAt x ∈ ChartedSpace.atlas- Defined in
- Mathlib.Geometry.Manifold.ChartedSpace
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- ChartedSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- ChartedSpace.chartAtstatement · cited by 12
- ChartedSpace.atlasstatement · cited by 5
Cited by5
Results whose statement or proof uses this declaration.
- chart_mem_atlasproof · cited by 9
- mdifferentiableWithinAt_extChartAt_symmproof · cited by 7
- mfderiv_chartAt_eq_tangentCoordChangeproof · cited by 2
- StructureGroupoid.compatible_of_mem_maximalAtlas_rightproof · cited by 2
- StructureGroupoid.compatible_of_mem_maximalAtlas_leftproof · cited by 0