Theorems · Theorem · Lie groups

ContinuousOn.fun_mul

∀ {M : Type u_1} [inst : TopologicalSpace M] [inst_1 : Mul M] [ContinuousMul M] {X : Type u_2}
  [inst_3 : TopologicalSpace X] {f g : X → M} {s : Set X},
  ContinuousOn f s → ContinuousOn g s → ContinuousOn (fun i => f i * g i) s

Eta-expanded form of ContinuousOn.mul

Defined in

Mathlib.Topology.Algebra.Monoid.Defs

Cited by

11 results in Mathlib

Foundations

Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceMulContinuousMulTopologicalSpace