Theorems · Theorem · Lie groups

Filter.Tendsto.vsub

∀ {V : Type u_1} {P : Type u_2} {α : Type u_3} [inst : AddGroup V] [inst_1 : TopologicalSpace V]
  [inst_2 : AddTorsor V P] [inst_3 : TopologicalSpace P] [IsTopologicalAddTorsor P] {l : Filter α} {f g : α → P}
  {x y : P}, Filter.Tendsto f l (nhds x) → Filter.Tendsto g l (nhds y) → Filter.Tendsto (f -ᵥ g) l (nhds (x -ᵥ y))

Defined in

Mathlib.Topology.Algebra.Group.Torsor

Cited by

5 results in Mathlib

Foundations

Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddGroupTopologicalSpaceAddTorsorTopologicalSpaceIsTopologicalAddTorsor