Theorems · Theorem · manifolds
mem_chart_target
∀ (H : Type u) {M : Type u_2} [inst : TopologicalSpace H] [inst_1 : TopologicalSpace M] [inst_2 : ChartedSpace H M]
(x : M), ↑(chartAt H x) x ∈ (chartAt H x).target- Defined in
- Mathlib.Geometry.Manifold.ChartedSpace
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- PartialHomeomorph.toPartialEquivstatement · cited by 917
- OpenPartialHomeomorph.toPartialHomeomorphstatement · cited by 851
- OpenPartialHomeomorph.toFun'statement · cited by 745
- PartialEquiv.targetstatement · cited by 650
- chartAtstatement and proof · cited by 301
- mem_chart_sourceproof · cited by 38
- OpenPartialHomeomorph.map_sourceproof · cited by 21
Cited by5
Results whose statement or proof uses this declaration.
- ModelWithCorners.isInteriorPoint_iffproof · cited by 6
- StructureGroupoid.LocalInvariantProp.liftProp_idproof · cited by 3
- chart_target_mem_nhdsproof · cited by 1
- ChartedSpace.locallyConnectedSpaceproof · cited by 0