matita/matita/contribs/limits/u0_apps.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
   7 (*      ||T||         The HELM team.                                      *)
   8 (*      ||A||         http://helm.cs.unibo.it                             *)
   9 (*      \   /                                                             *)
  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
  12 (*                                                                        *)
  13 (**************************************************************************)
  14
  15 include "preamble.ma".
  16
  17 (* APPLICATIONS *******************************************************)
  18
  19 definition u0_i: ∀T:Type[0]. T → T ≝
  20                  λT,a. a.
  21
  22 definition u0_k: ∀T,U:Type[0]. T → U → T ≝
  23                  λT,U,a,b. a.
  24
  25 definition u0_s: ∀T,U1,U2:Type[0]. (T → U1 → U2) → (T → U1) → (T → U2) ≝
  26                  λT,U1,U2,f,g,a. f a (g a).