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[helm.git] / matita / tests / fguidi.ma

diff --git a/matita/tests/fguidi.ma b/matita/tests/fguidi.ma
index 84d8cb4082bfd3d071986862abec6aa650d65b7e..a95e954c134375d95c4ec25539908f854c95673f 100644 (file)
--- a/matita/tests/fguidi.ma
+++ b/matita/tests/fguidi.ma
@@ -13,7 +13,7 @@
 (**************************************************************************)
 
 set "baseuri" "cic:/matita/tests/fguidi/".
-include "legacy/coq.ma".
+include "../legacy/coq.ma".
 
 alias id "O" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1/1)".
 alias id "nat" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1)".
@@ -42,20 +42,20 @@ definition pred: nat \to nat \def
       ]. 
 
 theorem eq_gen_S_O: \forall x. (S x = O) \to \forall P:Prop. P.
-intros. apply False_ind. cut (is_S O). auto new. elim H. exact I.
+intros. apply False_ind. cut (is_S O). elim Hcut. rewrite < H. apply I.
 qed.
 
 theorem eq_gen_S_O_cc: (\forall P:Prop. P) \to \forall x. (S x = O).
-intros. auto new.
+intros. apply H.
 qed.
 
 theorem eq_gen_S_S: \forall m,n. (S m) = (S n) \to m = n. 
 intros. cut ((pred (S m)) = (pred (S n))). 
-assumption. elim H. auto paramodulation.
+assumption. elim H. autobatch.
 qed.
 
 theorem eq_gen_S_S_cc: \forall m,n. m = n \to (S m) = (S n).
-intros. elim H. auto paramodulation.
+intros. elim H. autobatch.
 qed.
 
 inductive le: nat \to nat \to Prop \def
@@ -63,38 +63,40 @@ inductive le: nat \to nat \to Prop \def
    | le_succ: \forall m, n. (le m n) \to (le (S m) (S n)).
 
 theorem le_refl: \forall x. (le x x).
-intros. elim x; auto new.
+intros. elim x; autobatch.
 qed.
 
 theorem le_gen_x_O_aux: \forall x, y. (le x y) \to (y =O) \to 
                         (x = O).
-intros 3. elim H. auto paramodulation. apply eq_gen_S_O. exact n1. auto paramodulation.
+intros 3. elim H. autobatch. apply eq_gen_S_O. exact n1. autobatch.
 qed.
 
 theorem le_gen_x_O: \forall x. (le x O) \to (x = O).
-intros. apply le_gen_x_O_aux. exact O. auto paramodulation. auto paramodulation.
+intros. apply le_gen_x_O_aux. exact O. autobatch. autobatch.
 qed.
 
 theorem le_gen_x_O_cc: \forall x. (x = O) \to (le x O).
-intros. elim H. auto new.
+intros. elim H. autobatch.
 qed.
 
 theorem le_gen_S_x_aux: \forall m,x,y. (le y x) \to (y = S m) \to 
                         (\exists n. x = (S n) \land (le m n)).
-intros 4. elim H. 
-apply eq_gen_S_O. exact m. elim H1. auto paramodulation.
-cut (n = m). elim Hcut. apply ex_intro. exact n1. auto new.auto paramodulation.
+intros 4. elim H; clear H x y.
+apply eq_gen_S_O. exact m. elim H1. autobatch.
+clear H2. cut (n = m).
+elim Hcut. apply ex_intro. exact n1. split; autobatch.
+apply eq_gen_S_S. autobatch.
 qed.
 
 theorem le_gen_S_x: \forall m,x. (le (S m) x) \to 
                     (\exists n. x = (S n) \land (le m n)).
-intros. apply le_gen_S_x_aux. exact (S m). auto paramodulation. auto paramodulation.
+intros. apply le_gen_S_x_aux. exact (S m). autobatch. autobatch.
 qed.
 
 theorem le_gen_S_x_cc: \forall m,x. (\exists n. x = (S n) \land (le m n)) \to
                        (le (S m) x).
-intros. elim H. elim H1. cut ((S x1) = x). elim Hcut. auto new.
-elim H2. auto paramodulation.
+intros. elim H. elim H1. cut ((S x1) = x). elim Hcut. autobatch.
+elim H2. autobatch.
 qed.
 
 theorem le_gen_S_S: \forall m,n. (le (S m) (S n)) \to (le m n).
@@ -104,12 +106,12 @@ lapply eq_gen_S_S to H2 as H4. rewrite > H4. assumption.
 qed.
 
 theorem le_gen_S_S_cc: \forall m,n. (le m n) \to (le (S m) (S n)).
-intros. auto new.
+intros. autobatch.
 qed.
 
 (*
 theorem le_trans: \forall x,y. (le x y) \to \forall z. (le y z) \to (le x z).
 intros 1. elim x; clear H. clear x. 
-auto paramodulation.
-fwd H1 [H]. decompose H.
+autobatch.
+fwd H1 [H]. decompose.
 *)