X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FRELATIONAL%2FNLE%2Fdefs.ma;h=535b717aa21326eab8fa99d72316df68ff92c780;hb=700b170aa9b0377d33f1edd44de8d89129477fb8;hp=59c02653ef17d827cb897d817fbaef5dca6397bf;hpb=b531c938515b0ea6cb92df2e8732c587e0bc026b;p=helm.git diff --git a/helm/software/matita/contribs/RELATIONAL/NLE/defs.ma b/helm/software/matita/contribs/RELATIONAL/NLE/defs.ma index 59c02653e..535b717aa 100644 --- a/helm/software/matita/contribs/RELATIONAL/NLE/defs.ma +++ b/helm/software/matita/contribs/RELATIONAL/NLE/defs.ma @@ -12,22 +12,29 @@ (* *) (**************************************************************************) -set "baseuri" "cic:/matita/RELATIONAL/NLE/defs". -include "logic/equality.ma". -include "Nat/defs.ma". +include "NPlus/defs.ma". inductive NLE: Nat \to Nat \to Prop \def - | NLE_zero: \forall q. NLE zero q - | NLE_succ: \forall p,q. NLE p q \to NLE (succ p) (succ q) + | nle_zero_1: \forall q. NLE zero q + | nle_succ_succ: \forall p,q. NLE p q \to NLE (succ p) (succ q) . (*CSC: the URI must disappear: there is a bug now *) -interpretation "natural 'less or equal to'" 'leq x y = +interpretation "natural 'greater or equal to'" 'geq y x= + (cic:/matita/RELATIONAL/NLE/defs/NLE.ind#xpointer(1/1) x y). + +(*CSC: the URI must disappear: there is a bug now *) +interpretation "natural 'greater than'" 'gt y x = + (cic:/matita/RELATIONAL/NLE/defs/NLE.ind#xpointer(1/1) + (cic:/matita/RELATIONAL/datatypes/Nat/Nat.ind#xpointer(1/1/2) x) y). + +(*CSC: the URI must disappear: there is a bug now *) +interpretation "natural 'less or equal to'" 'leq x y = (cic:/matita/RELATIONAL/NLE/defs/NLE.ind#xpointer(1/1) x y). (*CSC: the URI must disappear: there is a bug now *) interpretation "natural 'less than'" 'lt x y = (cic:/matita/RELATIONAL/NLE/defs/NLE.ind#xpointer(1/1) - (cic:/matita/RELATIONAL/Nat/defs/Nat.ind#xpointer(1/1/2) x) y). + (cic:/matita/RELATIONAL/datatypes/Nat/Nat.ind#xpointer(1/1/2) x) y).