Theorems · Theorem · general topology

ContinuousMap.isOpen_setOfPred_range_subset

∀ {X : Type u_2} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {U : Set Y} [CompactSpace X],
  IsOpen U → IsOpen {f | Set.range ⇑f ⊆ U}

Defined in

Mathlib.Topology.CompactOpen

Cited by

2 results in Mathlib

Foundations

Depth 52 from the axioms · uses propext, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceCompactSpace