Removed hardcoded include paths from matitadaemon.

[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 1b801a14bf8f339ef9fd20ff57072edd1022d595..6723cf2cc4bbca3d4a0797d50b8d97c8495d0fb2 100644 (file)
--- a/matita/matita/lib/basics/logic.ma
+++ b/matita/matita/lib/basics/logic.ma
@@ -55,6 +55,10 @@ 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 +145,7 @@ definition R0 ≝ λT:Type[0].λt:T.t.
   
 definition R1 ≝ eq_rect_Type0.
 
-(* useless stuff
+(* used for lambda-delta *)
 definition R2 :
   ∀T0:Type[0].
   ∀a0:T0.
@@ -216,7 +220,7 @@ definition R4 :
 @(eq_rect_Type0 ????? e3) 
 @(R3 ????????? e0 ? e1 ? e2) 
 @a4 
-qed. *)
+qed.
 
 (* TODO concrete definition by means of proof irrelevance *)
 axiom streicherK : ∀T:Type[1].∀t:T.∀P:t = t → Type[2].P (refl ? t) → ∀p.P p.