Theorems · Theorem · general topology

ContinuousMap.isOpen_setOfPred_mapsTo

∀ {X : Type u_2} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {K : Set X} {U : Set Y},
  IsCompact K → IsOpen U → IsOpen {f | Set.MapsTo (⇑f) K U}

Defined in

Mathlib.Topology.CompactOpen

Cited by

9 results in Mathlib

Foundations

Depth 51 from the axioms · uses propext, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace