(* Title: HoTT/HoTT.thy Author: Josh Chen Homotopy type theory *) theory HoTT imports (* Basic theories *) HoTT_Base HoTT_Methods (* Types *) Coprod Equal Nat Prod Sum (* Derived definitions and properties *) EqualProps ProdProps Proj begin lemmas forms = Nat_form Prod_form Sum_form Coprod_form Equal_form Unit_form Empty_form lemmas intros = Nat_intro Prod_intro Sum_intro Equal_intro Coprod_intro Unit_intro lemmas elims = Nat_elim Prod_elim Sum_elim Equal_elim Coprod_elim Unit_elim Empty_elim lemmas routines = Nat_routine Prod_routine Sum_routine Equal_routine Coprod_routine Unit_routine Empty_routine end