Theorems · Theorem · Lie groups
QuotientGroup.dense_image_mk
∀ {G : Type u_1} [inst : TopologicalSpace G] [inst_1 : Group G] [SeparatelyContinuousMul G] {N : Subgroup G}
{s : Set G}, Dense (QuotientGroup.mk '' s) ↔ Dense (s * ↑N)- Defined in
- Mathlib.Topology.Algebra.Group.Quotient
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
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
- SetLike.coestatement and proof · cited by 8,199
- Groupstatement and proof · cited by 6,238
- Set.imagestatement · cited by 5,609
- Subgroupstatement and proof · cited by 3,593
- HasQuotient.Quotientstatement · cited by 2,301
- Densestatement and proof · cited by 359
- Set.mulstatement · cited by 297
- QuotientGroup.mkstatement · cited by 196
- SeparatelyContinuousMulstatement and proof · cited by 133
- QuotientGroup.preimage_image_mk_eq_mulproof · cited by 3
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