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nLab > Latest Changes: product extensionality

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  1. This is the extensionality principle for cartesian products in set theory and product types in type theory.

    Anonymous

    v1, current

  2. Added section on definitional product extensionality

    Anonymous

    v1, current

  3. added a sentence stating that product extensionality is usually assumed as an axiom in set theory with ordered pairing structure.

    Anonymous

    diff, v5, current

  4. editing definition to make it valid for positive product types, where the projection functions π 1\pi_1 and π 2\pi_2 in the negative product types don’t come with the elimination rules for the positive product types.

    Anonymous

    diff, v6, current

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