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nLab > Latest Changes: strongly extensional function

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  1. Removed the sentence

    “If XX has decidable equality, then the negation of equality is a (in fact the unique) tight apartness on XX, and any function from XX to any set YY (with any tight apartness on YY) must be strongly extensional.”

    because is not true. Assuming WLPO, Cantor space has decidable equality but the negation of equality is still not the tight apartness relation on Cantor space.

    Anonymouse

    diff, v4, current

  2. Rather we have that

    If XX has decidable equality and negation of equality is an apartness relation, then the negation of equality is a (in fact the unique) tight apartness on XX.

    Anonymouse

    diff, v4, current

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