matita/matita/contribs/RELATIONAL/NLE/defs.ma

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  14
  15
  16
  17 include "NPlus/defs.ma".
  18
  19 inductive NLE: Nat \to Nat \to Prop \def
  20    | nle_zero_1: \forall q. NLE zero q
  21    | nle_succ_succ: \forall p,q. NLE p q \to NLE (succ p) (succ q)
  22 .
  23
  24 (*CSC: the URI must disappear: there is a bug now *)
  25 interpretation "natural 'greater or equal to'" 'geq y x=
  26    (cic:/matita/RELATIONAL/NLE/defs/NLE.ind#xpointer(1/1) x y).
  27
  28 (*CSC: the URI must disappear: there is a bug now *)
  29 interpretation "natural 'greater than'" 'gt y x =
  30    (cic:/matita/RELATIONAL/NLE/defs/NLE.ind#xpointer(1/1)
  31       (cic:/matita/RELATIONAL/datatypes/Nat/Nat.ind#xpointer(1/1/2) x) y).
  32
  33 (*CSC: the URI must disappear: there is a bug now *)
  34 interpretation "natural 'less or equal to'" 'leq x y =
  35    (cic:/matita/RELATIONAL/NLE/defs/NLE.ind#xpointer(1/1) x y).
  36
  37 (*CSC: the URI must disappear: there is a bug now *)
  38 interpretation "natural 'less than'" 'lt x y =
  39    (cic:/matita/RELATIONAL/NLE/defs/NLE.ind#xpointer(1/1)
  40       (cic:/matita/RELATIONAL/datatypes/Nat/Nat.ind#xpointer(1/1/2) x) y).