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authorGravatar herbelin <herbelin@85f007b7-540e-0410-9357-904b9bb8a0f7>2003-01-19 22:48:33 +0000
committerGravatar herbelin <herbelin@85f007b7-540e-0410-9357-904b9bb8a0f7>2003-01-19 22:48:33 +0000
commit326617c10cc2e63d71d09300e7de0c7f4ea18f33 (patch)
tree585068061c617d7183594d701186b4c3fcb8880b /contrib/romega/ReflOmegaCore.v
parente0d2ea6fe56fbde0aafc023729d652ba73a14305 (diff)
Simplification de Simplify (plus de ())
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@3537 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'contrib/romega/ReflOmegaCore.v')
-rw-r--r--contrib/romega/ReflOmegaCore.v44
1 files changed, 22 insertions, 22 deletions
diff --git a/contrib/romega/ReflOmegaCore.v b/contrib/romega/ReflOmegaCore.v
index f4eea6c2f..469df1543 100644
--- a/contrib/romega/ReflOmegaCore.v
+++ b/contrib/romega/ReflOmegaCore.v
@@ -646,30 +646,30 @@ Recursive Tactic Definition loop t := (
(Case ?1; [ Intro; Intro | Intro; Intro | Idtac | Idtac
| Intro | Intro; Intro | Intro; Intro | Intro; Intro
| Intro; Intro ]);
- Auto; (Simplify ())
+ Auto; Simplify
| [(Case ?1 of ? ? ? ? ? ? end)] ->
(Case ?1; [ Intro | Intro; Intro | Intro; Intro | Intro; Intro |
- Intro | Intro ]); Auto; (Simplify ())
+ Intro | Intro ]); Auto; Simplify
| [(Case (Zcompare ?1 ?2) of ? ? ? end)] ->
- (Elim_Zcompare ?1 ?2) ; Intro ; Auto; (Simplify ())
+ (Elim_Zcompare ?1 ?2) ; Intro ; Auto; Simplify
| [(Case ?1 of ? ? ? end)] ->
- (Case ?1; [ Idtac | Intro | Intro ]); Auto; (Simplify ())
+ (Case ?1; [ Idtac | Intro | Intro ]); Auto; Simplify
| [(Case (eq_Z ?1 ?2) of ? ? end)] ->
((Elim_eq_Z ?1 ?2); Intro H; [Rewrite H; Clear H | Clear H]);
- Simpl; Auto; (Simplify ())
+ Simpl; Auto; Simplify
| [(Case (eq_term ?1 ?2) of ? ? end)] ->
((Elim_eq_term ?1 ?2); Intro H; [Rewrite H; Clear H | Clear H]);
- Simpl; Auto; (Simplify ())
+ Simpl; Auto; Simplify
| [(Case (eq_pos ?1 ?2) of ? ? end)] ->
((Elim_eq_pos ?1 ?2); Intro H; [Rewrite H; Clear H | Clear H]);
- Simpl; Auto; (Simplify ())
+ Simpl; Auto; Simplify
| _ -> Fail)
-And Simplify () := (
+And Simplify := (
Match Context With [|- ?1 ] -> Try (loop ?1) | _ -> Idtac).
(* L'utilisation de Match n'est qu'un hack pour contourner un bug de la 7.0 *)
Tactic Definition ProveStable x th :=
- (Match x With [?1] -> Unfold term_stable ?1; Intros; (Simplify ()); Simpl; Apply th).
+ (Match x With [?1] -> Unfold term_stable ?1; Intros; Simplify; Simpl; Apply th).
(* \subsubsection{Les règles elle mêmes} *)
Definition Tplus_assoc_l [t: term] :=
@@ -805,7 +805,7 @@ Definition T_OMEGA13 [t: term] :=
Theorem T_OMEGA13_stable : (term_stable T_OMEGA13).
-Unfold term_stable T_OMEGA13; Intros; (Simplify ()); Simpl;
+Unfold term_stable T_OMEGA13; Intros; Simplify; Simpl;
[ Apply OMEGA13 | Apply OMEGA14 ].
Save.
@@ -1314,7 +1314,7 @@ Theorem constant_not_nul_valid :
(i:nat) (valid_hyps (constant_not_nul i)).
Unfold valid_hyps constant_not_nul; Intros;
-Generalize (nth_valid e i lp); (Simplify ()); Simpl; (Elim_eq_Z z0 ZERO); Auto;
+Generalize (nth_valid e i lp); Simplify; Simpl; (Elim_eq_Z z0 ZERO); Auto;
Simpl; Intros H1 H2; Elim H1; Symmetry; Auto.
Save.
@@ -1329,7 +1329,7 @@ Definition constant_neg [i:nat; h: hyps] :=
Theorem constant_neg_valid : (i:nat) (valid_hyps (constant_neg i)).
Unfold valid_hyps constant_neg; Intros;
-Generalize (nth_valid e i lp); (Simplify ()); Simpl; Unfold Zle; Simpl;
+Generalize (nth_valid e i lp); Simplify; Simpl; Unfold Zle; Simpl;
Intros H1; Elim H1; [ Assumption | Trivial ].
Save.
@@ -1356,10 +1356,10 @@ Theorem not_exact_divide_valid : (k1,k2:Z; body:term; t:nat; i:nat)
(valid_hyps (not_exact_divide k1 k2 body t i)).
Unfold valid_hyps not_exact_divide; Intros; Generalize (nth_valid e i lp);
-(Simplify ());
+Simplify;
(Elim_eq_term '(scalar_norm_add t (Tplus (Tmult body (Tint k1)) (Tint k2)))
't1); Auto;
-(Simplify ());
+Simplify;
Intro H2; Elim H2; Simpl; Elim (scalar_norm_add_stable t e); Simpl;
Intro H4; Absurd `(interp_term e body)*k1+k2 = 0`; [
Apply OMEGA4; Assumption | Symmetry; Auto ].
@@ -1590,7 +1590,7 @@ Save.
Theorem sum_valid : (k1,k2:Z; t:(list t_fusion)) (valid2 (sum k1 k2 t)).
-Unfold valid2; Intros k1 k2 t e p1 p2; Unfold sum; (Simplify ()); Simpl; Auto;
+Unfold valid2; Intros k1 k2 t e p1 p2; Unfold sum; Simplify; Simpl; Auto;
Try (Elim (fusion_stable t)); Simpl; Intros; [
Apply sum1; Assumption
| Apply sum2; Try Assumption; Apply sum4; Assumption
@@ -1620,7 +1620,7 @@ Theorem exact_divide_valid :
(k:Z) (t:term) (n:nat) (valid1 (exact_divide k t n)).
-Unfold valid1 exact_divide; Intros k1 k2 t e p1; (Simplify ());Simpl; Auto;
+Unfold valid1 exact_divide; Intros k1 k2 t e p1; Simplify;Simpl; Auto;
(Elim_eq_term '(scalar_norm t (Tmult k2 (Tint k1))) 't1); Simpl; Auto;
(Elim_eq_Z 'k1 '(ZERO)); Simpl; Auto; Intros H1 H2; Elim H2;
Elim scalar_norm_stable; Simpl; Generalize H1; Case (interp_term e k2);
@@ -1658,8 +1658,8 @@ Definition divide_and_approx [k1,k2:Z; body:term; t:nat; prop:proposition] :=
Theorem divide_and_approx_valid : (k1,k2:Z; body:term; t:nat)
(valid1 (divide_and_approx k1 k2 body t)).
-Unfold valid1 divide_and_approx; Intros k1 k2 body t e p1;(Simplify ());
-(Elim_eq_term '(scalar_norm_add t (Tplus (Tmult body (Tint k1)) (Tint k2))) 't1); (Simplify ()); Auto; Intro E; Elim E; Simpl;
+Unfold valid1 divide_and_approx; Intros k1 k2 body t e p1;Simplify;
+(Elim_eq_term '(scalar_norm_add t (Tplus (Tmult body (Tint k1)) (Tint k2))) 't1); Simplify; Auto; Intro E; Elim E; Simpl;
Elim (scalar_norm_add_stable t e); Simpl; Intro H1;
Apply Zmult_le_approx with 3 := H1; Assumption.
Save.
@@ -1682,7 +1682,7 @@ Definition merge_eq [t: nat; prop1, prop2: proposition] :=
Theorem merge_eq_valid : (n:nat) (valid2 (merge_eq n)).
-Unfold valid2 merge_eq; Intros n e p1 p2; (Simplify ()); Simpl; Auto;
+Unfold valid2 merge_eq; Intros n e p1 p2; Simplify; Simpl; Auto;
Elim (scalar_norm_stable n e); Simpl; Intros; Symmetry;
Apply OMEGA8 with 2 := H0; [ Assumption | Elim Zopp_one; Trivial ].
Save.
@@ -1701,7 +1701,7 @@ Theorem constant_nul_valid :
(i:nat) (valid_hyps (constant_nul i)).
Unfold valid_hyps constant_nul; Intros; Generalize (nth_valid e i lp);
-(Simplify ()); Simpl; Unfold Zne; Intro H1; Absurd `0=0`; Auto.
+Simplify; Simpl; Unfold Zne; Intro H1; Absurd `0=0`; Auto.
Save.
(* \paragraph{[O_STATE]} *)
@@ -1719,7 +1719,7 @@ Definition state [m:Z;s:step; prop1,prop2:proposition] :=
Theorem state_valid : (m:Z; s:step) (valid2 (state m s)).
-Unfold valid2; Intros m s e p1 p2; Unfold state; (Simplify ()); Simpl;Auto;
+Unfold valid2; Intros m s e p1 p2; Unfold state; Simplify; Simpl;Auto;
Elim (rewrite_stable s e); Simpl; Intros H1 H2; Elim H1;
Rewrite (Zplus_sym `-(interp_term e t5)` `(interp_term e t3)`);
Elim H2; Simpl; Reflexivity.
@@ -1873,7 +1873,7 @@ Save.
Theorem move_right_valid : (s: step) (valid1 (move_right s)).
-Unfold valid1 move_right; Intros s e p; (Simplify ()); Simpl;
+Unfold valid1 move_right; Intros s e p; Simplify; Simpl;
Elim (rewrite_stable s e); Simpl; [
Symmetry; Apply Zegal_left; Assumption
| Intro; Apply Zle_left; Assumption