Require
Rbase.
Recursive
Tactic
Definition
Isrealint trm:=
Match
trm With
| [``0``] -> Idtac
| [``1``] -> Idtac
| [``?1+?2``] -> (Isrealint ?1);(Isrealint ?2)
| [``?1-?2``] -> (Isrealint ?1);(Isrealint ?2)
| [``?1*?2``] -> (Isrealint ?1);(Isrealint ?2)
| [``-?1``] -> (Isrealint ?1)
| _ -> Fail.
Recursive
Tactic
Definition
Sup0 :=
Match
Context With
| [ |- ``1>0`` ] -> Unfold Rgt;Apply Rlt_R0_R1
| [ |- ``1+?1>0`` ] ->
Apply (Rgt_trans ``1+?1`` ?1 ``0``);
[Pattern 1 ``1+?1``;Rewrite Rplus_sym;Unfold Rgt;
Apply Rlt_r_r_plus_R1|Sup0].
Tactic
Definition
DiscrR :=
Try Match
Context With
| [ |- ~(?1==?2) ] ->
Isrealint ?1;Isrealint ?2;
Apply Rminus_not_eq; Ring ``?1-?2``;
(Match
Context With
| [ |- [``-1``] ] ->
Repeat Rewrite <- Ropp_distr1;Apply Ropp_neq
| _ -> Idtac);Apply Rgt_not_eq;Sup0.