Theorems · Definition · general topology
OpenPartialHomeomorph.refl
(X : Type u_7) → [inst : TopologicalSpace X] → OpenPartialHomeomorph X X
The identity on the whole space as an open partial homeomorphism.
- Cited by
- 33 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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
- OpenPartialHomeomorphstatement · cited by 664
- Homeomorph.toOpenPartialHomeomorphproof · cited by 28
- Homeomorph.reflproof · cited by 25
Cited by41
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.polarCoordproof · cited by 15
- NumberField.mixedEmbedding.polarCoordRealproof · cited by 13
- chartedSpaceSelf_prodproof · cited by 9
- OpenPartialHomeomorph.refl_applystatement and proof · cited by 9
- FiberBundle.chartedSpace_chartAtstatement and proof · cited by 6
- tangentBundle_model_space_chartAtproof · cited by 4
- StructureGroupoid.LocalInvariantProp.liftPropAt_of_mem_maximalAtlasproof · cited by 3
- FiberBundle.extChartAtproof · cited by 3
- ModelWithCorners.isImmersionAtOfComplementproof · cited by 2
- StructureGroupoid.id_memstatement · cited by 2
- StructureGroupoid.id_mem_maximalAtlasstatement and proof · cited by 2
- closedUnderRestriction_iff_id_leproof · cited by 1