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nLab > Latest Changes: typal equality

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  1. starting disambiguation page for typal equality

    Anonymous

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJan 14th 2023

    The lead-in sentence is odd:

    Just as there are two notions of judgmental equality in dependent type theory, judgmental equality of terms and judgmental equality of types, there are two types in dependent type theory

    Probably you mean instead something like

    there are two kinds of identifications

    And then next:

    Typal equality of [X] is the [Y]-type

    probably is meant to read

    Typal equality of [X] is reflected by [Y]-types

    or similar.

    diff, v2, current

  3. Let’s describe how the actual type theory community uses the term “typal equality” - nobody actually uses it to refer to equivalences.

    Anonymouse

    diff, v4, current

    • CommentRowNumber4.
    • CommentAuthorMike Shulman
    • CommentTimeSep 15th 2023

    That’s much better, thanks!

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