Theorems · Theorem · Lie groups

Filter.inv_nhdsGT

∀ {H : Type x} [inst : TopologicalSpace H] [inst_1 : CommGroup H] [inst_2 : PartialOrder H] [IsOrderedMonoid H]
  [ContinuousInv H] {a : H}, (nhdsWithin a (Set.Ioi a))⁻¹ = nhdsWithin a⁻¹ (Set.Iio a⁻¹)

Defined in

Mathlib.Topology.Algebra.Group.Basic

Cited by

0 results in Mathlib

Foundations

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

Assumes

TopologicalSpaceCommGroupPartialOrderIsOrderedMonoidContinuousInv