Theorems · Theorem · Lie groups

ContinuousWithinAt.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} {s : Set X} {x : X},
  ContinuousWithinAt f s x → ∀ (b : M), ContinuousWithinAt (fun x => b * f x) s x

Defined in

Mathlib.Topology.Algebra.Monoid.Defs

Cited by

2 results in Mathlib

Foundations

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

Assumes

TopologicalSpaceMulSeparatelyContinuousMulTopologicalSpace