Theorems · Theorem · global analysis
StructureGroupoid.maximalAtlas_mono
∀ {H : Type u} {M : Type u_2} [inst : TopologicalSpace H] [inst_1 : TopologicalSpace M] [inst_2 : ChartedSpace H M]
{G G' : StructureGroupoid H}, G ≤ G' → StructureGroupoid.maximalAtlas M G ⊆ StructureGroupoid.maximalAtlas M G'- Defined in
- Mathlib.Geometry.Manifold.HasGroupoid
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
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 · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- ChartedSpacestatement and proof · cited by 2,397
- OpenPartialHomeomorphstatement and proof · cited by 664
- OpenPartialHomeomorph.symmproof · cited by 460
- StructureGroupoidstatement and proof · cited by 121
- OpenPartialHomeomorph.transproof · cited by 98
- atlasproof · cited by 60
- StructureGroupoid.maximalAtlasstatement and proof · cited by 28
Cited by1
Results whose statement or proof uses this declaration.
- IsManifold.maximalAtlas_subset_of_leproof · cited by 0