Integ/Integ.thy
changeset 249 492493334e0f
parent 237 46532a866823
--- a/Integ/Integ.thy	Fri Apr 14 11:23:33 1995 +0200
+++ b/Integ/Integ.thy	Wed Jun 21 15:12:40 1995 +0200
@@ -46,9 +46,9 @@
       "zmagnitude(Z) == Abs_Integ(UN p:Rep_Integ(Z).split(%x y. intrel^^{<(y-x) + (x-y),0>},p))"
 
   zadd_def
-   "Z1 + Z2 == \
-\       Abs_Integ(UN p1:Rep_Integ(Z1). UN p2:Rep_Integ(Z2).   \
-\           split(%x1 y1. split(%x2 y2. intrel^^{<x1+x2, y1+y2>},p2),p1))"
+   "Z1 + Z2 == 
+       Abs_Integ(UN p1:Rep_Integ(Z1). UN p2:Rep_Integ(Z2).   
+           split(%x1 y1. split(%x2 y2. intrel^^{<x1+x2, y1+y2>},p2),p1))"
 
   zdiff_def "Z1 - Z2 == Z1 + zminus(Z2)"
 
@@ -57,21 +57,21 @@
   zle_def   "Z1 <= (Z2::int) == ~(Z2 < Z1)"
 
   zmult_def
-   "Z1 * Z2 == \
-\       Abs_Integ(UN p1:Rep_Integ(Z1). UN p2:Rep_Integ(Z2). split(%x1 y1.   \
-\           split(%x2 y2. intrel^^{<x1*x2 + y1*y2, x1*y2 + y1*x2>},p2),p1))"
+   "Z1 * Z2 == 
+       Abs_Integ(UN p1:Rep_Integ(Z1). UN p2:Rep_Integ(Z2). split(%x1 y1.   
+           split(%x2 y2. intrel^^{<x1*x2 + y1*y2, x1*y2 + y1*x2>},p2),p1))"
 
   zdiv_def
-   "Z1 zdiv Z2 ==   \
-\       Abs_Integ(UN p1:Rep_Integ(Z1). UN p2:Rep_Integ(Z2). split(%x1 y1.   \
-\           split(%x2 y2. intrel^^{<(x1-y1)div(x2-y2)+(y1-x1)div(y2-x2),   \
-\           (x1-y1)div(y2-x2)+(y1-x1)div(x2-y2)>},p2),p1))"
+   "Z1 zdiv Z2 ==   
+       Abs_Integ(UN p1:Rep_Integ(Z1). UN p2:Rep_Integ(Z2). split(%x1 y1.   
+           split(%x2 y2. intrel^^{<(x1-y1)div(x2-y2)+(y1-x1)div(y2-x2),   
+           (x1-y1)div(y2-x2)+(y1-x1)div(x2-y2)>},p2),p1))"
 
   zmod_def
-   "Z1 zmod Z2 ==   \
-\       Abs_Integ(UN p1:Rep_Integ(Z1).UN p2:Rep_Integ(Z2).split(%x1 y1.   \
-\           split(%x2 y2. intrel^^{<(x1-y1)mod((x2-y2)+(y2-x2)),   \
-\           (x1-y1)mod((x2-y2)+(x2-y2))>},p2),p1))"
+   "Z1 zmod Z2 ==   
+       Abs_Integ(UN p1:Rep_Integ(Z1).UN p2:Rep_Integ(Z2).split(%x1 y1.   
+           split(%x2 y2. intrel^^{<(x1-y1)mod((x2-y2)+(y2-x2)),   
+           (x1-y1)mod((x2-y2)+(x2-y2))>},p2),p1))"
 
   zsuc_def     "zsuc(Z) == Z + $# Suc(0)"