| author | wenzelm |
| Mon, 29 Nov 1999 15:52:49 +0100 | |
| changeset 8039 | a901bafe4578 |
| parent 7219 | 4e3f386c2e37 |
| child 8856 | 435187ffc64e |
| permissions | -rw-r--r-- |
|
7077
60b098bb8b8a
heavily revised by Jacques: coercions have alphabetic names;
paulson
parents:
diff
changeset
|
1 |
(* Title : RealPow.thy |
| 7219 | 2 |
ID : $Id$ |
|
7077
60b098bb8b8a
heavily revised by Jacques: coercions have alphabetic names;
paulson
parents:
diff
changeset
|
3 |
Author : Jacques D. Fleuriot |
|
60b098bb8b8a
heavily revised by Jacques: coercions have alphabetic names;
paulson
parents:
diff
changeset
|
4 |
Copyright : 1998 University of Cambridge |
|
60b098bb8b8a
heavily revised by Jacques: coercions have alphabetic names;
paulson
parents:
diff
changeset
|
5 |
Description : Natural powers theory |
|
60b098bb8b8a
heavily revised by Jacques: coercions have alphabetic names;
paulson
parents:
diff
changeset
|
6 |
|
|
60b098bb8b8a
heavily revised by Jacques: coercions have alphabetic names;
paulson
parents:
diff
changeset
|
7 |
*) |
|
60b098bb8b8a
heavily revised by Jacques: coercions have alphabetic names;
paulson
parents:
diff
changeset
|
8 |
|
|
60b098bb8b8a
heavily revised by Jacques: coercions have alphabetic names;
paulson
parents:
diff
changeset
|
9 |
RealPow = WF_Rel + RealAbs + |
|
60b098bb8b8a
heavily revised by Jacques: coercions have alphabetic names;
paulson
parents:
diff
changeset
|
10 |
|
|
60b098bb8b8a
heavily revised by Jacques: coercions have alphabetic names;
paulson
parents:
diff
changeset
|
11 |
instance real :: {power}
|
|
60b098bb8b8a
heavily revised by Jacques: coercions have alphabetic names;
paulson
parents:
diff
changeset
|
12 |
|
|
60b098bb8b8a
heavily revised by Jacques: coercions have alphabetic names;
paulson
parents:
diff
changeset
|
13 |
primrec |
|
60b098bb8b8a
heavily revised by Jacques: coercions have alphabetic names;
paulson
parents:
diff
changeset
|
14 |
realpow_0 "r ^ 0 = 1r" |
|
60b098bb8b8a
heavily revised by Jacques: coercions have alphabetic names;
paulson
parents:
diff
changeset
|
15 |
realpow_Suc "r ^ (Suc n) = (r::real) * (r ^ n)" |
|
60b098bb8b8a
heavily revised by Jacques: coercions have alphabetic names;
paulson
parents:
diff
changeset
|
16 |
|
|
60b098bb8b8a
heavily revised by Jacques: coercions have alphabetic names;
paulson
parents:
diff
changeset
|
17 |
end |