Theorems · Theorem · Lie groups

Filter.HasBasis.add_self

∀ {ι : Type u_1} {M : Type u_3} [inst : TopologicalSpace M] [inst_1 : AddZeroClass M] [ContinuousAdd M] {p : ι → Prop}
  {s : ι → Set M}, (nhds 0).HasBasis p s → (nhds 0).HasBasis p fun i => s i + s i

Defined in

Mathlib.Topology.Algebra.Monoid

Cited by

1 results in Mathlib

Foundations

Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceAddZeroClassContinuousAdd