Mathlib Map

Theorems · Theorem · Lie groups

AddSubmonoid.isOpen_addUnits

∀ {M : Type u_1} [inst : TopologicalSpace M] [inst_1 : AddMonoid M] {U : AddSubmonoid M}, IsOpen ↑U → IsOpen ↑U.addUnits

If a submonoid is open in a topological additive monoid, then its additive units form an open subset of the additive units of the monoid.

Defined in
Mathlib.Topology.Algebra.Group.Units
Cited by
0 results in Mathlib
Foundations
Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceAddMonoid

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites12

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.