Theorems · Theorem · Lie groups

tendsto_neg_nhdsGE

∀ {H : Type x} [inst : TopologicalSpace H] [inst_1 : AddCommGroup H] [inst_2 : PartialOrder H] [IsOrderedAddMonoid H]
  [ContinuousNeg H] {a : H}, Filter.Tendsto Neg.neg (nhdsWithin a (Set.Ici a)) (nhdsWithin (-a) (Set.Iic (-a)))

Defined in

Mathlib.Topology.Algebra.Group.Basic

Cited by

1 results in Mathlib

Foundations

Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceAddCommGroupPartialOrderIsOrderedAddMonoidContinuousNeg