Theorems · Theorem · manifolds
ChartedSpace.mem_chart_source
∀ {H : Type u_5} {inst : TopologicalSpace H} {M : Type u_6} {inst_1 : TopologicalSpace M} [self : ChartedSpace H M]
(x : M), x ∈ (ChartedSpace.chartAt x).source- Defined in
- Mathlib.Geometry.Manifold.ChartedSpace
- Cited by
- 2 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.
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
- PartialEquiv.sourcestatement · cited by 964
- PartialHomeomorph.toPartialEquivstatement · cited by 917
- OpenPartialHomeomorph.toPartialHomeomorphstatement · cited by 851
- ChartedSpace.chartAtstatement · cited by 12
Cited by2
Results whose statement or proof uses this declaration.
- mem_chart_sourceproof · cited by 38
- ChartedSpace.t1Spaceproof · cited by 1