Theorems · Definition · global analysis
Pregroupoid.groupoid
{H : Type u_1} → [inst : TopologicalSpace H] → Pregroupoid H → StructureGroupoid HConstruct a groupoid of partial homeos for which the map and its inverse have some property, from a pregroupoid asserting that this property is stable under composition.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 87 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.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.ofPredproof · cited by 6,101
- IsOpenproof · cited by 2,400
- PartialEquiv.sourceproof · cited by 964
- PartialHomeomorph.toPartialEquivproof · cited by 917
- OpenPartialHomeomorph.toPartialHomeomorphproof · cited by 851
- OpenPartialHomeomorph.toFun'proof · cited by 745
- OpenPartialHomeomorphproof · cited by 664
- PartialEquiv.targetproof · cited by 650
- OpenPartialHomeomorph.symmproof · cited by 460
- StructureGroupoidstatement · cited by 121
Cited by8
Results whose statement or proof uses this declaration.
- contDiffGroupoidproof · cited by 28
- mem_groupoid_of_pregroupoidstatement · cited by 6
- contDiffGroupoid_leproof · cited by 2
- OpenPartialHomeomorph.mem_maximalAtlas_of_contMDiffOnproof · cited by 2
- continuousGroupoidproof · cited by 2
- groupoid_of_pregroupoid_lestatement and proof · cited by 1
- conformalGroupoidproof · cited by 0
- hasGroupoid_of_pregroupoidstatement · cited by 0