]> matita.cs.unibo.it Git - helm.git/blob - matitaB/matita/lib/basics/pts.ma
advances non lfsx ...
[helm.git] / matitaB / matita / lib / basics / pts.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 "basics/core_notation.ma".
16
17 universe constraint Type[0] < Type[1].
18 universe constraint Type[1] < Type[2].
19 universe constraint Type[2] < Type[3].
20 universe constraint Type[3] < Type[4].
21
22 (*inductive True : Prop ≝ I : True.
23
24 (*lemma fa : ∀X:Prop.X → X.
25 #X #p //
26 qed.
27
28 (* check fa*)
29
30 lemma ggr ≝ fa.*)
31
32 inductive False : Prop ≝ .
33
34 inductive bool : Prop ≝ True : bool | false : bool.
35  
36 inductive eq (A:Type[1]) (x:A) : A → Prop ≝
37     refl: eq A x x.
38
39 lemma provable_True : <A href="cic:/matita/basics/pts/True.ind(1,0,0)">True</A> → eq Prop True True.
40 #H %
41 qed.*)