X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fcontribs%2FRELATIONAL%2FNLE%2Fdefs.ma;h=18fc87b107ddc038b0b997322d0a9a5501283239;hb=c4df237cf74270f9e4aa164d5fe0415181406a49;hp=59c02653ef17d827cb897d817fbaef5dca6397bf;hpb=ac54ae2a52c5e5bda881d2d94f62548202184856;p=helm.git diff --git a/matita/contribs/RELATIONAL/NLE/defs.ma b/matita/contribs/RELATIONAL/NLE/defs.ma index 59c02653e..18fc87b10 100644 --- a/matita/contribs/RELATIONAL/NLE/defs.ma +++ b/matita/contribs/RELATIONAL/NLE/defs.ma @@ -14,20 +14,27 @@ 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).