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existsWeaklyFirstCountableCompactBig

Specification

Problem 2 in [Ar2013]: Give an example in ZFC of a weakly first- countable compact space X such that $𝔠 < |X|$.

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Lean 4 Statement 
theorem existsWeaklyFirstCountableCompactBig : answer(sorry) ↔
    ∃ (X : Type) (_ : TopologicalSpace X),
      WeaklyFirstCountableTopology X ∧ CompactSpace X ∧ 𝔠 < #X
ID: Paper__WeaklyFirstCountable__existsWeaklyFirstCountableCompactBig
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