Theorems · Theorem · global analysis
hasGroupoid_inf_iff
∀ {H : Type u} {M : Type u_2} [inst : TopologicalSpace H] [inst_1 : TopologicalSpace M] [inst_2 : ChartedSpace H M]
{G₁ G₂ : StructureGroupoid H}, HasGroupoid M (G₁ ⊓ G₂) ↔ HasGroupoid M G₁ ∧ HasGroupoid M G₂- 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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Cites10
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
- ChartedSpacestatement and proof · cited by 2,397
- OpenPartialHomeomorphproof · cited by 664
- inf_le_leftproof · cited by 286
- inf_le_rightproof · cited by 238
- StructureGroupoidstatement and proof · cited by 121
- atlasproof · cited by 60
- HasGroupoidstatement and proof · cited by 19
- HasGroupoid.compatibleproof · cited by 3
- hasGroupoid_of_leproof · cited by 2
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