Theorems · Theorem · global analysis
Topology.IsOpenEmbedding.singleton_hasGroupoid
∀ {H : Type u} [inst : TopologicalSpace H] {α : Type u_5} [inst_1 : TopologicalSpace α] [inst_2 : Nonempty α]
{f : α → H} (h : Topology.IsOpenEmbedding f) (G : StructureGroupoid H) [ClosedUnderRestriction G], HasGroupoid α G- Defined in
- Mathlib.Geometry.Manifold.HasGroupoid
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- Topology.IsOpenEmbeddingstatement and proof · cited by 231
- StructureGroupoidstatement and proof · cited by 121
- HasGroupoidstatement · cited by 19
- ClosedUnderRestrictionstatement and proof · cited by 15
- Topology.IsOpenEmbedding.toOpenPartialHomeomorphproof · cited by 14
- Topology.IsOpenEmbedding.singletonChartedSpacestatement · cited by 6
- Topology.IsOpenEmbedding.toOpenPartialHomeomorph_sourceproof · cited by 3
- OpenPartialHomeomorph.singleton_hasGroupoidproof · cited by 1
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