- nnAuto.ml: width overflows are warnings, not errors

[helm.git] / matita / matita / lib / basics / logic.ma

diff --git a/matita/matita/lib/basics/logic.ma b/matita/matita/lib/basics/logic.ma
index 0754d7afc147ee1c806ccafe9fa3c2a92bdaf0c1..261cd77a84ab7770205ef49756dd6ce7f91754e9 100644 (file)
--- a/matita/matita/lib/basics/logic.ma
+++ b/matita/matita/lib/basics/logic.ma
@@ -27,6 +27,11 @@ lemma eq_ind_r :
  ∀A.∀a.∀P: ∀x:A. x = a → Prop. P a (refl A a) → ∀x.∀p:eq ? x a.P x p.
  #A #a #P #p #x0 #p0; @(eq_rect_r ? ? ? p0) //; qed.
 
+lemma eq_rect_Type0_r:
+  ∀A.∀a.∀P: ∀x:A. eq ? x a → Type[0]. P a (refl A a) → ∀x.∀p:eq ? x a.P x p.
+  #A #a #P #H #x #p (generalize in match H) (generalize in match P)
+  cases p; //; qed.
+  
 lemma eq_rect_Type2_r:
   ∀A.∀a.∀P: ∀x:A. eq ? x a → Type[2]. P a (refl A a) → ∀x.∀p:eq ? x a.P x p.
   #A #a #P #H #x #p (generalize in match H) (generalize in match P)
@@ -55,6 +60,10 @@ theorem eq_f2: ∀A,B,C.∀f:A→B→C.
 ∀x1,x2:A.∀y1,y2:B. x1=x2 → y1=y2 → f x1 y1 = f x2 y2.
 #A #B #C #f #x1 #x2 #y1 #y2 #E1 #E2 >E1; >E2; //; qed. 
 
+lemma eq_f3: ∀A,B,C,D.∀f:A→B→C->D.
+∀x1,x2:A.∀y1,y2:B. ∀z1,z2:C. x1=x2 → y1=y2 → z1=z2 → f x1 y1 z1 = f x2 y2 z2.
+#A #B #C #D #f #x1 #x2 #y1 #y2 #z1 #z2 #E1 #E2 #E3 >E1; >E2; >E3 //; qed.
+
 (* hint to genereric equality 
 definition eq_equality: equality ≝
  mk_equality eq refl rewrite_l rewrite_r.
@@ -141,7 +150,7 @@ definition R0 ≝ λT:Type[0].λt:T.t.
   
 definition R1 ≝ eq_rect_Type0.
 
-
+(* used for lambda-delta *)
 definition R2 :
   ∀T0:Type[0].
   ∀a0:T0.