Theorems · Theorem · manifolds

t2Space_of_properSMul_of_t1Group

∀ {G : Type u_1} {X : Type u_2} [inst : Group G] [inst_1 : MulAction G X] [inst_2 : TopologicalSpace G]
  [inst_3 : TopologicalSpace X] [h_proper : ProperSMul G X] [T1Space G], T2Space X

If a T1 group acts properly on a topological space, then this topological space is T2.

Defined in

Mathlib.Topology.Algebra.ProperAction.Basic

Cited by

0 results in Mathlib

Foundations

Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

GroupMulActionTopologicalSpaceTopologicalSpaceProperSMulT1Space