Theorems · Theorem · manifolds
ChartedSpace.ext
∀ {H : Type u_5} {inst : TopologicalSpace H} {M : Type u_6} {inst_1 : TopologicalSpace M} {x y : ChartedSpace H M},
ChartedSpace.atlas = ChartedSpace.atlas → ChartedSpace.chartAt = ChartedSpace.chartAt → x = y- Defined in
- Mathlib.Geometry.Manifold.ChartedSpace
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- ChartedSpacestatement and proof · cited by 2,397
- PartialEquiv.sourceproof · cited by 964
- PartialHomeomorph.toPartialEquivproof · cited by 917
- OpenPartialHomeomorph.toPartialHomeomorphproof · cited by 851
- OpenPartialHomeomorphstatement and proof · cited by 664
- ChartedSpace.chartAtstatement and proof · cited by 12
- ChartedSpace.atlasstatement and proof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- chartedSpaceSelf_prodproof · cited by 9
- ChartedSpace.ext_iffproof · cited by 0