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Theorems · Theorem · general topology

lowerHemicontinuous_iff

∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] {f : α → Set β},
  LowerHemicontinuous f ↔ ∀ (x : α), LowerHemicontinuousAt f x
Defined in
Mathlib.Topology.Semicontinuity.Defs
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Foundations
Depth 22 from the axioms · uses propext, Quot.sound
Assumes
TopologicalSpaceTopologicalSpace
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Set · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceLowerHemicontinuous · cited by 21LowerHemicontinuousLowerHemicontinuousAt · cited by 15LowerHemicontinuousAtlowerHemicontinuous_iffCITED BYCITES

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