Theorems · Theorem · general topology

ContinuousMonoidHom.continuous_of_continuous_uncurry

∀ {B : Type u_3} {C : Type u_4} [inst : Monoid B] [inst_1 : Monoid C] [inst_2 : TopologicalSpace B]
  [inst_3 : TopologicalSpace C] {A : Type u_7} [inst_4 : TopologicalSpace A] (f : A → B →ₜ* C),
  Continuous (Function.uncurry fun x y => (f x) y) → Continuous f

Defined in

Mathlib.Topology.Algebra.Group.CompactOpen

Cited by

0 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MonoidMonoidTopologicalSpaceTopologicalSpaceTopologicalSpace