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Jun 17, 2016 at 10:13 comment added Andrej Bauer No, you need both $\prod$-types and inductive typed (data) to get identity types.
Jun 17, 2016 at 1:44 vote accept isekaijin
Jun 16, 2016 at 16:59 comment added isekaijin So, basically, if you have $\Pi$-types, identity types are “already there”, and it doesn't make sense to constrain how identity types can be used without constraining how $\Pi$-types can be used?
Jun 16, 2016 at 10:15 review First posts
Jun 17, 2016 at 4:47
Jun 16, 2016 at 10:14 history answered Jesper CC BY-SA 3.0