Theorems · Theorem · general topology

ContinuousMap.continuous_curry

∀ {X : Type u_2} {Y : Type u_3} {Z : Type u_4} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
  [inst_2 : TopologicalSpace Z] [LocallyCompactSpace (X × Y)], Continuous ContinuousMap.curry

The currying process is a continuous map between function spaces.

Defined in

Mathlib.Topology.CompactOpen

Cited by

1 results in Mathlib

Foundations

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

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpaceLocallyCompactSpace