Theorems · Theorem · Lie groups

Filter.map_add_right_nhdsLT

∀ {H : Type x} [inst : TopologicalSpace H] [inst_1 : AddCommGroup H] [inst_2 : PartialOrder H] [IsOrderedAddMonoid H]
  [ContinuousAdd H] {c a : H},
  Filter.map (fun x => x + c) (nhdsWithin a (Set.Iio a)) = nhdsWithin (a + c) (Set.Iio (a + c))

Defined in

Mathlib.Topology.Algebra.Group.Basic

Cited by

0 results in Mathlib

Foundations

Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceAddCommGroupPartialOrderIsOrderedAddMonoidContinuousAdd