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Theorems · Definition · general topology

PrespectralSpace.casesOn

{X : Type u_3} →
  [inst : TopologicalSpace X] →
    {motive : PrespectralSpace X → Sort u} →
      (t : PrespectralSpace X) →
        ((isTopologicalBasis : TopologicalSpace.IsTopologicalBasis {U | IsOpen U ∧ IsCompact U}) → motive ⋯) → motive t
Defined in
Mathlib.Topology.Spectral.Prespectral
Cited by
1 results in Mathlib
Foundations
Depth 52 from the axioms · uses propext, Quot.sound
Assumes
TopologicalSpace
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Around this declaration

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prespectralSpace_iff · cited by 0prespectralSpace_iffSet · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceSet.ofPred · cited by 6101Set.ofPredIsOpen · cited by 2400IsOpenIsCompact · cited by 1282IsCompactTopologicalSpace.IsTopologicalBasis · cited by 126TopologicalSpace.IsTopolo…PrespectralSpace · cited by 23PrespectralSpacePrespectralSpace.casesOnCITED BYCITES

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Cited by1

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