Theorems · Theorem · Lie groups

Filter.Tendsto.zero_vadd

∀ {M : Type u_1} {X : Type u_2} {α : Type u_4} [inst : TopologicalSpace M] [inst_1 : TopologicalSpace X]
  [inst_2 : AddMonoid M] [inst_3 : AddAction M X] [ContinuousVAdd M X] {f : α → M} {g : α → X} {l : Filter α} {a : X},
  Filter.Tendsto f l (nhds 0) → Filter.Tendsto g l (nhds a) → Filter.Tendsto (fun x => f x +ᵥ g x) l (nhds a)

Defined in

Mathlib.Topology.Algebra.MulAction

Cited by

1 results in Mathlib

Foundations

Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceAddMonoidAddActionContinuousVAdd