Dummy dependent types are no longer cleaned in inductive type arities.

[helm.git] / helm / software / matita / library / Q / q.ma

diff --git a/helm/software/matita/library/Q/q.ma b/helm/software/matita/library/Q/q.ma
index af0161c2ac1f885a9c22edb80d672018cc09d875..072532d7bc7a4c8732486f5886a9147f082d5523 100644 (file)
--- a/helm/software/matita/library/Q/q.ma
+++ b/helm/software/matita/library/Q/q.ma
@@ -262,6 +262,7 @@ unfold symmetric2. intros.apply (fraction_elim2 (\lambda f,g.ftimes f g = ftimes
   intros.change with (frac (cons (x1 + neg m) f) = frac (cons (neg m + x1) f)).
    rewrite < sym_Zplus.reflexivity.
   intros.
+   (*CSC: simplify does something nasty here because of a redex in Zplus *)
    change with 
    (match ftimes f g with
    [ one \Rightarrow Z_to_ratio (x1 + y1)
@@ -278,6 +279,7 @@ intro.elim f.
    rewrite > Zplus_Zopp.reflexivity.
   change with (Z_to_ratio (neg n + - (neg n)) = one).
    rewrite > Zplus_Zopp.reflexivity.
+   (*CSC: simplify does something nasty here because of a redex in Zplus *)
 (* again: we would need something to help finding the right change *)
   change with 
   (match ftimes f1 (finv f1) with
@@ -317,3 +319,23 @@ intro.elim r.
 reflexivity.
 simplify.apply ftimes_finv.
 qed.
+
+definition Qtimes : Q \to Q \to Q \def
+\lambda p,q.
+  match p with
+  [OQ \Rightarrow OQ
+  |Qpos p1 \Rightarrow 
+    match q with
+    [OQ \Rightarrow OQ
+    |Qpos q1 \Rightarrow Qpos (rtimes p1 q1)
+    |Qneg q1 \Rightarrow Qneg (rtimes p1 q1)
+    ]
+  |Qneg p1 \Rightarrow 
+    match q with
+    [OQ \Rightarrow OQ
+    |Qpos q1 \Rightarrow Qneg (rtimes p1 q1)
+    |Qneg q1 \Rightarrow Qpos (rtimes p1 q1)
+    ]
+  ]
+.
+    
\ No newline at end of file