Theorems · Theorem · Lie groups

exists_nhds_half_neg

∀ {G : Type w} [inst : TopologicalSpace G] [inst_1 : AddGroup G] [IsTopologicalAddGroup G] {s : Set G},
  s ∈ nhds 0 → ∃ V ∈ nhds 0, ∀ v ∈ V, ∀ w ∈ V, v - w ∈ s

Defined in

Mathlib.Topology.Algebra.Group.Basic

Cited by

1 results in Mathlib

Foundations

Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceAddGroupIsTopologicalAddGroup