Theorems · Theorem · Lie groups
IsTopologicalGroup.completeSpace_rightUniformSpace_iff_leftUniformSpace
∀ (G : Type u_1) [inst : Group G] [inst_1 : TopologicalSpace G] [inst_2 : IsTopologicalGroup G], CompleteSpace G ↔ CompleteSpace G
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- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
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
- Groupstatement and proof · cited by 6,238
- CompleteSpacestatement · cited by 2,532
- IsTopologicalGroupstatement and proof · cited by 469
- IsTopologicalGroup.rightUniformSpacestatement · cited by 16
- IsTopologicalGroup.leftUniformSpacestatement · cited by 6
- UniformEquiv.completeSpace_iffproof · cited by 2
- UniformEquiv.invproof · cited by 1
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