Theorems · Theorem · Lie groups

Topology.IsClosedEmbedding.units_map

∀ {α : Type u} {β : Type v} [inst : Monoid α] [inst_1 : TopologicalSpace α] [inst_2 : Monoid β]
  [inst_3 : TopologicalSpace β] [ContinuousMul α] [T1Space α] {f : α →* β},
  Topology.IsClosedEmbedding ⇑f → Topology.IsClosedEmbedding ⇑(Units.map f)

Defined in

Mathlib.Topology.Algebra.Group.Basic

Cited by

1 results in Mathlib

Foundations

Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MonoidTopologicalSpaceMonoidTopologicalSpaceContinuousMulT1Space