Theorems · Theorem · Lie groups

ContinuousAt.const_mul

∀ {M : Type u_1} [inst : TopologicalSpace M] [inst_1 : Mul M] [SeparatelyContinuousMul M] {X : Type u_2}
  [inst_3 : TopologicalSpace X] {f : X → M} {x : X}, ContinuousAt f x → ∀ (b : M), ContinuousAt (fun x => b * f x) x

Defined in

Mathlib.Topology.Algebra.Monoid.Defs

Cited by

8 results in Mathlib

Foundations

Depth 60 from the axioms · uses propext, Quot.sound

Assumes

TopologicalSpaceMulSeparatelyContinuousMulTopologicalSpace