X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=helm%2Fsoftware%2Fmatita%2Fdama%2Fconstructive_connectives.ma;h=78e2ec571639f54103b6df1632df9c9022c7d577;hb=10f29fdd78ee089a9a94446207b543d33d6c851c;hp=0a840d5a51837289f5f32337c2efbbdd3c0128cb;hpb=9791cd146bc0b8df953aee7bb8a3df60553b530c;p=helm.git diff --git a/helm/software/matita/dama/constructive_connectives.ma b/helm/software/matita/dama/constructive_connectives.ma index 0a840d5a5..78e2ec571 100644 --- a/helm/software/matita/dama/constructive_connectives.ma +++ b/helm/software/matita/dama/constructive_connectives.ma @@ -12,7 +12,7 @@ (* *) (**************************************************************************) -set "baseuri" "cic:/matita/constructive_connectives/". +include "logic/connectives.ma". inductive Or (A,B:Type) : Type ≝ Left : A → Or A B @@ -27,17 +27,24 @@ inductive And (A,B:Type) : Type ≝ interpretation "constructive and" 'and x y = (cic:/matita/constructive_connectives/And.ind#xpointer(1/1) x y). +inductive exT (A:Type) (P:A→Type) : Type ≝ + ex_introT: ∀w:A. P w → exT A P. + inductive ex (A:Type) (P:A→Prop) : Type ≝ ex_intro: ∀w:A. P w → ex A P. +(* notation < "hvbox(Σ ident i opt (: ty) break . p)" right associative with precedence 20 for @{ 'sigma ${default @{\lambda ${ident i} : $ty. $p)} @{\lambda ${ident i} . $p}}}. +*) -interpretation "constructive exists" 'sigma \eta.x = +interpretation "constructive exists" 'exists \eta.x = (cic:/matita/constructive_connectives/ex.ind#xpointer(1/1) _ x). +interpretation "constructive exists (Type)" 'exists \eta.x = + (cic:/matita/constructive_connectives/exT.ind#xpointer(1/1) _ x). alias id "False" = "cic:/matita/logic/connectives/False.ind#xpointer(1/1)". definition Not ≝ λx:Type.x → False.