Theorems · Theorem · Lie groups
IsTopologicalAddGroup.t2Space_of_zero_sep
∀ {G : Type w} [inst : TopologicalSpace G] [inst_1 : AddGroup G] [IsTopologicalAddGroup G],
(∀ (x : G), x ≠ 0 → ∃ U ∈ nhds 0, x ∉ U) → T2Space G- Defined in
- Mathlib.Topology.Algebra.Group.Pointwise
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
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
- Filterstatement · cited by 8,121
- nhdsstatement and proof · cited by 5,554
- AddGroupstatement and proof · cited by 4,410
- IsTopologicalAddGroupstatement and proof · cited by 1,394
- T2Spacestatement · cited by 1,351
- T1Spaceproof · cited by 275
- add_neg_cancelproof · cited by 213
- Specializesproof · cited by 176
- mem_of_mem_nhdsproof · cited by 126
- by_contraproof · cited by 60
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