Theorems · Definition · manifolds
chartAt
(H : Type u_5) →
[inst : TopologicalSpace H] →
{M : Type u_6} → [inst_1 : TopologicalSpace M] → [ChartedSpace H M] → M → OpenPartialHomeomorph M HThe preferred chart at a point x in a charted space M.
- Defined in
- Mathlib.Geometry.Manifold.ChartedSpace
- Cited by
- 301 results in Mathlib
- Foundations
- Depth 3 from the axioms, rests on 5 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- ChartedSpacestatement and proof · cited by 2,397
- OpenPartialHomeomorphstatement · cited by 664
- ChartedSpace.chartAtproof · cited by 12
Cited by308
Results whose statement or proof uses this declaration.
- extChartAtproof · cited by 307
- SmoothBumpFunction.toFunproof · cited by 53
- mem_chart_sourcestatement · cited by 38
- extChartAt_sourcestatement and proof · cited by 32
- MDifferentiableWithinAt.hasMFDerivWithinAtproof · cited by 26
- achartproof · cited by 25
- IsManifold.chart_mem_maximalAtlasstatement · cited by 24
- ContMDiffWithinAt.compproof · cited by 18
- extChartAt_target_subset_rangeproof · cited by 15
- MDifferentiableAt.hasMFDerivAtproof · cited by 15
- uniqueMDiffWithinAt_univproof · cited by 14
- mfderivWithin_univproof · cited by 14
Showing the 200 most cited of 308.