Theorems · Theorem · manifolds
ChartedSpace.sum_chartAt_inl
∀ {H : Type u} {M : Type u_2} {M' : Type u_3} [inst : TopologicalSpace H] [inst_1 : TopologicalSpace M]
[inst_2 : TopologicalSpace M'] [cm : ChartedSpace H M] [cm' : ChartedSpace H M'] (x : M),
chartAt H (Sum.inl x) = (chartAt H x).lift_openEmbedding ⋯- Defined in
- Mathlib.Geometry.Manifold.ChartedSpace
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- chartAtstatement · cited by 301
- OpenPartialHomeomorph.lift_openEmbeddingstatement and proof · cited by 14
- ChartedSpace.chartAtproof · cited by 12
- Topology.IsOpenEmbedding.inlstatement and proof · cited by 11
- nonempty_of_chartedSpacestatement and proof · cited by 4
Cited by7
Results whose statement or proof uses this declaration.
- sum_chartAt_inl_applyproof · cited by 6
- ContMDiff.sumElimproof · cited by 4
- ContMDiff.inlproof · cited by 3
- writtenInExtChartAt_sumInl_eventuallyEq_idproof · cited by 1
- writtenInExtChartAt_sumSwap_eventuallyEq_idproof · cited by 1
- ModelWithCorners.interiorPoint_inlproof · cited by 0
- ModelWithCorners.boundaryPoint_inlproof · cited by 0