Theorems · Theorem · Lie groups
Submonoid.units_isCompact
∀ {α : Type u} [inst : Monoid α] [inst_1 : TopologicalSpace α] [T1Space α] [ContinuousMul α] {S : Submonoid α},
IsCompact ↑S → IsCompact ↑S.units- Defined in
- Mathlib.Topology.Algebra.Group.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites17
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
- SetLike.coestatement and proof · cited by 8,199
- Monoidstatement and proof · cited by 3,887
- Subgroupstatement · cited by 3,593
- Submonoidstatement and proof · cited by 3,086
- Unitsstatement · cited by 2,804
- SProd.sprodproof · cited by 1,750
- IsCompactstatement and proof · cited by 1,282
- ContinuousMulstatement and proof · cited by 343
- T1Spacestatement and proof · cited by 275
- Submonoid.unitsstatement · cited by 40
- Submonoid.opproof · cited by 38
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