Theorems · Theorem · Lie groups
QuotientAddGroup.dense_image_mk
∀ {G : Type u_1} [inst : TopologicalSpace G] [inst_1 : AddGroup G] [SeparatelyContinuousAdd G] {N : AddSubgroup G}
{s : Set G}, Dense (QuotientAddGroup.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
- Set.imagestatement · cited by 5,609
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- HasQuotient.Quotientstatement · cited by 2,301
- Densestatement and proof · cited by 359
- QuotientAddGroup.mkstatement · cited by 348
- Set.addstatement · cited by 338
- SeparatelyContinuousAddstatement and proof · cited by 83
- QuotientAddGroup.preimage_image_mk_eq_addproof · cited by 3
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