(no commit message)

[helm.git] / helm / software / matita / contribs / ng_assembly / common / sigma.ma

diff --git a/helm/software/matita/contribs/ng_assembly/common/sigma.ma b/helm/software/matita/contribs/ng_assembly/common/sigma.ma
deleted file mode 100755 (executable)
index 529ca7a..0000000
--- a/helm/software/matita/contribs/ng_assembly/common/sigma.ma
+++ /dev/null
@@ -1,52 +0,0 @@
-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||M||                                                             *)
-(*      ||A||       A project by Andrea Asperti                           *)
-(*      ||T||                                                             *)
-(*      ||I||       Developers:                                           *)
-(*      ||T||         The HELM team.                                      *)
-(*      ||A||         http://helm.cs.unibo.it                             *)
-(*      \   /                                                             *)
-(*       \ /        This file is distributed under the terms of the       *)
-(*        v         GNU General Public License Version 2                  *)
-(*                                                                        *)
-(**************************************************************************)
-
-(* ********************************************************************** *)
-(*                          Progetto FreeScale                            *)
-(*                                                                        *)
-(*   Sviluppato da: Ing. Cosimo Oliboni, oliboni@cs.unibo.it              *)
-(*   Sviluppo: 2008-2010                                                  *)
-(*                                                                        *)
-(* ********************************************************************** *)
-
-include "common/theory.ma".
-
-(* coppia dipendente *)
-
-ninductive sigma (A:Type) (P:A → Type) : Type ≝
-    sigma_intro: ∀x:A.P x → sigma A P.
-
-notation < "hvbox(\Sigma ident i opt (: tx) break . p)"
-  right associative with precedence 20
-for @{ 'Sigma ${default
-  @{\lambda ${ident i} : $tx. $p}  
-  @{\lambda ${ident i} . $p}}}.
-
-notation > "\Sigma list1 ident x sep , opt (: T). term 19 Px"
-  with precedence 20
-  for ${ default
-          @{ ${ fold right @{$Px} rec acc @{'Sigma (λ${ident x}:$T.$acc)} } }
-          @{ ${ fold right @{$Px} rec acc @{'Sigma (λ${ident x}.$acc)} } }
-       }.
-
-notation "\ll term 19 a, break term 19 b \gg"
-with precedence 90 for @{'dependent_pair (λx:?.? x) $a $b}.
-interpretation "dependent pair" 'dependent_pair \eta.c a b = (sigma_intro ? c a b).
-
-interpretation "sigma" 'Sigma \eta.x = (sigma ? x).
-
-ndefinition sigmaFst ≝
-λT:Type.λf:T → Type.λs:sigma T f.match s with [ sigma_intro x _ ⇒ x ].
-ndefinition sigmaSnd ≝
-λT:Type.λf:T → Type.λs:sigma T f.match s return λs.f (sigmaFst ?? s) with [ sigma_intro _ x ⇒ x ].