Theorems · Theorem · Lie groups

Filter.Tendsto.const_mul

∀ {M : Type u_1} [inst : TopologicalSpace M] [inst_1 : Mul M] [SeparatelyContinuousMul M] {α : Type u_2} {f : α → M}
  {x : Filter α} {a : M} (b : M), Filter.Tendsto f x (nhds a) → Filter.Tendsto (fun x => b * f x) x (nhds (b * a))

Defined in

Mathlib.Topology.Algebra.Monoid.Defs

Cited by

55 results in Mathlib

Foundations

Depth 59 from the axioms · uses propext, Quot.sound

Assumes

TopologicalSpaceMulSeparatelyContinuousMul