Theorems · Theorem · Lie groups

exists_open_nhds_one_split

∀ {M : Type u_3} [inst : TopologicalSpace M] [inst_1 : MulOneClass M] [ContinuousMul M] {s : Set M},
  s ∈ nhds 1 → ∃ V, IsOpen V ∧ 1 ∈ V ∧ ∀ v ∈ V, ∀ w ∈ V, v * w ∈ s

Defined in

Mathlib.Topology.Algebra.Monoid

Cited by

2 results in Mathlib

Foundations

Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceMulOneClassContinuousMul