Theorems · Theorem · Lie groups
IsTopologicalGroup.t1Space
∀ (G : Type w) [inst : TopologicalSpace G] [inst_1 : Group G] [ContinuousMul G], IsClosed {1} → T1Space G- Defined in
- Mathlib.Topology.Algebra.Group.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Groupstatement and proof · cited by 6,238
- one_mulproof · cited by 2,841
- IsClosedstatement and proof · cited by 1,639
- ContinuousMulstatement and proof · cited by 343
- T1Spacestatement · cited by 275
- Set.image_singletonproof · cited by 174
- isClosedMap_mul_rightproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- IsTopologicalGroup.t2Space_iff_one_closedproof · cited by 1