Theorems · Theorem · Lie groups
IsClosed.mul_left_of_isCompact
∀ {G : Type w} [inst : TopologicalSpace G] [inst_1 : Group G] [IsTopologicalGroup G] {s t : Set G},
IsClosed t → IsCompact s → IsClosed (s * t)- Defined in
- Mathlib.Topology.Algebra.Group.Pointwise
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 92 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.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Groupstatement and proof · cited by 6,238
- IsClosedstatement and proof · cited by 1,639
- IsCompactstatement and proof · cited by 1,282
- IsTopologicalGroupstatement and proof · cited by 469
- Set.mulstatement · cited by 297
- IsClosed.smul_left_of_isCompactproof · cited by 5
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