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nLab > Latest Changes: dependent sum type

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  1. adding a section on defining quantifiers in dependent type theory using the dependent sum type

    Anonymous

    diff, v13, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJan 21st 2023

    added a more pleasant typesetting of the extensionality principle: here

    Also added a reference.

    diff, v15, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeJan 21st 2023

    added also the corresponding dual rendering of function extensionality, to bring out the direct analogy: here

    diff, v15, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeJan 21st 2023

    adjusted the previous wording in the Idea-section, for clarity (here), highlighted the duality to dependent products and !include-d the table dependent functions and dependent pairs – table, for overview.

    diff, v16, current

  5. Added Per Martin-Löf’s original definition of dependent sum types from universes, dependent product types, and function types which appeared in his 1971 paper on dependent type theory.

    James Wainwright

    diff, v22, current

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