freescale porting, work in progress

[helm.git] / helm / software / matita / library / nat / div_and_mod.ma

diff --git a/helm/software/matita/library/nat/div_and_mod.ma b/helm/software/matita/library/nat/div_and_mod.ma
index fbf51276189b1524bb8418eb0f611606cd5f5f54..cbab87206ee5457cf967e25505b3772ed9180b15 100644 (file)
--- a/helm/software/matita/library/nat/div_and_mod.ma
+++ b/helm/software/matita/library/nat/div_and_mod.ma
@@ -147,11 +147,14 @@ apply le_plus_n.
 rewrite < sym_times.
 rewrite > distr_times_minus.
 rewrite > plus_minus.
+lapply(plus_to_minus ??? H3); demodulate all.
+(*
 rewrite > sym_times.
 rewrite < H5.
 rewrite < sym_times. 
 apply plus_to_minus.
 apply H3.
+*)
 apply le_times_r.
 apply lt_to_le.
 apply H6.
@@ -195,8 +198,8 @@ qed.
 
 theorem div_mod_spec_times : \forall n,m:nat.div_mod_spec ((S n)*m) (S n) m O.
 intros.constructor 1.
-unfold lt.apply le_S_S.apply le_O_n.
-rewrite < plus_n_O.rewrite < sym_times.reflexivity.
+unfold lt.apply le_S_S.apply le_O_n. demodulate. reflexivity.
+(*rewrite < plus_n_O.rewrite < sym_times.reflexivity.*)
 qed.
 
 lemma div_plus_times: \forall m,q,r:nat. r < m \to  (q*m+r)/ m = q. 
@@ -243,8 +246,8 @@ theorem div_n_n: \forall n:nat. O < n \to n / n = S O.
 intros.
 apply (div_mod_spec_to_eq n n (n / n) (n \mod n) (S O) O).
 apply div_mod_spec_div_mod.assumption.
-constructor 1.assumption.
-rewrite < plus_n_O.simplify.rewrite < plus_n_O.reflexivity.
+constructor 1.assumption. demodulate. reflexivity. (*
+rewrite < plus_n_O.simplify.rewrite < plus_n_O.reflexivity.*)
 qed.
 
 theorem eq_div_O: \forall n,m. n < m \to n / m = O.
@@ -260,8 +263,8 @@ theorem mod_n_n: \forall n:nat. O < n \to n \mod n = O.
 intros.
 apply (div_mod_spec_to_eq2 n n (n / n) (n \mod n) (S O) O).
 apply div_mod_spec_div_mod.assumption.
-constructor 1.assumption.
-rewrite < plus_n_O.simplify.rewrite < plus_n_O.reflexivity.
+constructor 1.assumption. demodulate. reflexivity.(*
+rewrite < plus_n_O.simplify.rewrite < plus_n_O.reflexivity.*)
 qed.
 
 theorem mod_S: \forall n,m:nat. O < m \to S (n \mod m) < m \to