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Generalized Lindelöf Theorem #41

Merged
merged 2 commits into from
Aug 20, 2023

Commits on Aug 20, 2023

  1. [B] Change def of subbasis and countability axioms

    And adapt the proofs as necessary.
    
    Also, split proof of 2.countability of `RTop`.
    
    The fact that a countable subbasis implies 2. countability and the fact
    that the rays in ℝ starting at rational numbers form a subbasis might be
    used in other situations as well.
    Columbus240 committed Aug 20, 2023
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  2. Prove the generalized Lindelöf Lemma

    The proof is incomplete, because it needs `le_cardinal_ens_wf`.
    Adds files `ZornsLemma/FunctionPropertiesEns.v`,
    `ZornsLemma/CardinalsEns.v` and an alternate notion of cardinality for
    `Ensemble`.
    Columbus240 committed Aug 20, 2023
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