Theorems · Theorem · general topology

CompactCoherentification.continuousOn_rng_of_isCompact

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
  {f : X → CompactCoherentification Y} {K : Set X},
  IsCompact K → (ContinuousOn f K ↔ ContinuousOn (⇑(CompactCoherentification.mk Y).symm ∘ f) K)

Defined in

Mathlib.Topology.Compactness.CompactlyCoherentSpace

Cited by

2 results in Mathlib

Foundations

Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace