include "ground/arith/nat_pred_succ.ma".
include "ground/arith/nat_lt.ma".
-(* NON-NEGATIVE INTEGERS ****************************************************)
+(* STRICT ORDER FOR NON-NEGATIVE INTEGERS ***********************************)
-(* Basic constructions with pred ********************************************)
+(* Constructions with npred *************************************************)
lemma nlt_zero_sn (m): m = ↑↓m → 𝟎 < m.
// qed.
-(* Basic inversions with pred ***********************************************)
+(* Inversions with npred ****************************************************)
(*** S_pred *)
lemma nlt_inv_zero_sn (m): 𝟎 < m → m = ↑↓m.