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Theorems · Theorem · general topology

UpperHemicontinuous.comp

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace γ]
  [inst_2 : TopologicalSpace β] {f : α → Set β} {g : γ → α},
  UpperHemicontinuous f → Continuous g → UpperHemicontinuous (f ∘ g)
Defined in
Mathlib.Topology.Semicontinuity.Defs
Cited by
1 results in Mathlib
Foundations
Depth 61 from the axioms · uses propext, Quot.sound
Assumes
TopologicalSpaceTopologicalSpaceTopologicalSpace
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upperHemicontinuous_quasispectrum · cited by 3upperHemicontinuous_quasi…Set · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceContinuous · cited by 2592ContinuousUpperHemicontinuous · cited by 30UpperHemicontinuousSemicontinuous.comp · cited by 5Semicontinuous.compUpperHemicontinuous.compCITED BYCITES

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