| author | wenzelm | 
| Wed, 04 Jan 2012 11:01:08 +0100 | |
| changeset 46111 | cd49d458b545 | 
| parent 39502 | cffceed8e7fa | 
| child 72004 | 913162a47d9f | 
| permissions | -rw-r--r-- | 
| 
23442
 
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
 
wenzelm 
parents:  
diff
changeset
 | 
1  | 
(* ========================================================================= *)  | 
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028e39e5e8f3
The Metis prover (slightly modified version from Larry);
 
wenzelm 
parents:  
diff
changeset
 | 
2  | 
(* ORDERED TYPES *)  | 
| 39502 | 3  | 
(* Copyright (c) 2004 Joe Hurd, distributed under the BSD License *)  | 
| 
23442
 
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
 
wenzelm 
parents:  
diff
changeset
 | 
4  | 
(* ========================================================================= *)  | 
| 
 
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
 
wenzelm 
parents:  
diff
changeset
 | 
5  | 
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028e39e5e8f3
The Metis prover (slightly modified version from Larry);
 
wenzelm 
parents:  
diff
changeset
 | 
6  | 
signature Ordered =  | 
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028e39e5e8f3
The Metis prover (slightly modified version from Larry);
 
wenzelm 
parents:  
diff
changeset
 | 
7  | 
sig  | 
| 
 
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
 
wenzelm 
parents:  
diff
changeset
 | 
8  | 
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028e39e5e8f3
The Metis prover (slightly modified version from Larry);
 
wenzelm 
parents:  
diff
changeset
 | 
9  | 
type t  | 
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028e39e5e8f3
The Metis prover (slightly modified version from Larry);
 
wenzelm 
parents:  
diff
changeset
 | 
10  | 
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028e39e5e8f3
The Metis prover (slightly modified version from Larry);
 
wenzelm 
parents:  
diff
changeset
 | 
11  | 
val compare : t * t -> order  | 
| 
 
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
 
wenzelm 
parents:  
diff
changeset
 | 
12  | 
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028e39e5e8f3
The Metis prover (slightly modified version from Larry);
 
wenzelm 
parents:  
diff
changeset
 | 
13  | 
(*  | 
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028e39e5e8f3
The Metis prover (slightly modified version from Larry);
 
wenzelm 
parents:  
diff
changeset
 | 
14  | 
PROVIDES  | 
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028e39e5e8f3
The Metis prover (slightly modified version from Larry);
 
wenzelm 
parents:  
diff
changeset
 | 
15  | 
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028e39e5e8f3
The Metis prover (slightly modified version from Larry);
 
wenzelm 
parents:  
diff
changeset
 | 
16  | 
!x : t. compare (x,x) = EQUAL  | 
| 
 
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
 
wenzelm 
parents:  
diff
changeset
 | 
17  | 
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| 
 
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
 
wenzelm 
parents:  
diff
changeset
 | 
18  | 
!x y : t. compare (x,y) = LESS <=> compare (y,x) = GREATER  | 
| 
 
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
 
wenzelm 
parents:  
diff
changeset
 | 
19  | 
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| 
 
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
 
wenzelm 
parents:  
diff
changeset
 | 
20  | 
!x y : t. compare (x,y) = EQUAL ==> compare (y,x) = EQUAL  | 
| 
 
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
 
wenzelm 
parents:  
diff
changeset
 | 
21  | 
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| 
 
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
 
wenzelm 
parents:  
diff
changeset
 | 
22  | 
!x y z : t. compare (x,y) = EQUAL ==> compare (x,z) = compare (y,z)  | 
| 
 
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
 
wenzelm 
parents:  
diff
changeset
 | 
23  | 
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028e39e5e8f3
The Metis prover (slightly modified version from Larry);
 
wenzelm 
parents:  
diff
changeset
 | 
24  | 
!x y z : t.  | 
| 
 
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
 
wenzelm 
parents:  
diff
changeset
 | 
25  | 
compare (x,y) = LESS andalso compare (y,z) = LESS ==>  | 
| 
 
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
 
wenzelm 
parents:  
diff
changeset
 | 
26  | 
compare (x,z) = LESS  | 
| 
 
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
 
wenzelm 
parents:  
diff
changeset
 | 
27  | 
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| 
 
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
 
wenzelm 
parents:  
diff
changeset
 | 
28  | 
!x y z : t.  | 
| 
 
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
 
wenzelm 
parents:  
diff
changeset
 | 
29  | 
compare (x,y) = GREATER andalso compare (y,z) = GREATER ==>  | 
| 
 
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
 
wenzelm 
parents:  
diff
changeset
 | 
30  | 
compare (x,z) = GREATER  | 
| 
 
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
 
wenzelm 
parents:  
diff
changeset
 | 
31  | 
*)  | 
| 
 
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
 
wenzelm 
parents:  
diff
changeset
 | 
32  | 
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028e39e5e8f3
The Metis prover (slightly modified version from Larry);
 
wenzelm 
parents:  
diff
changeset
 | 
33  | 
end  |