| author | wenzelm |
| Fri, 06 Oct 2000 17:35:58 +0200 | |
| changeset 10168 | 50be659d4222 |
| parent 9508 | 4d01dbf6ded7 |
| child 11049 | 7eef34adb852 |
| permissions | -rw-r--r-- |
|
9508
4d01dbf6ded7
Chinese Remainder Theorem, Wilsons Theorem, etc., by T M Masmussen
paulson
parents:
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(* Title: WilsonBij.thy |
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4d01dbf6ded7
Chinese Remainder Theorem, Wilsons Theorem, etc., by T M Masmussen
paulson
parents:
diff
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ID: $Id$ |
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4d01dbf6ded7
Chinese Remainder Theorem, Wilsons Theorem, etc., by T M Masmussen
paulson
parents:
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Author: Thomas M. Rasmussen |
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Chinese Remainder Theorem, Wilsons Theorem, etc., by T M Masmussen
paulson
parents:
diff
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Copyright 2000 University of Cambridge |
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4d01dbf6ded7
Chinese Remainder Theorem, Wilsons Theorem, etc., by T M Masmussen
paulson
parents:
diff
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*) |
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4d01dbf6ded7
Chinese Remainder Theorem, Wilsons Theorem, etc., by T M Masmussen
paulson
parents:
diff
changeset
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4d01dbf6ded7
Chinese Remainder Theorem, Wilsons Theorem, etc., by T M Masmussen
paulson
parents:
diff
changeset
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WilsonBij = BijectionRel + IntFact + |
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4d01dbf6ded7
Chinese Remainder Theorem, Wilsons Theorem, etc., by T M Masmussen
paulson
parents:
diff
changeset
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4d01dbf6ded7
Chinese Remainder Theorem, Wilsons Theorem, etc., by T M Masmussen
paulson
parents:
diff
changeset
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consts |
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4d01dbf6ded7
Chinese Remainder Theorem, Wilsons Theorem, etc., by T M Masmussen
paulson
parents:
diff
changeset
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reciR :: "int => [int,int] => bool" |
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4d01dbf6ded7
Chinese Remainder Theorem, Wilsons Theorem, etc., by T M Masmussen
paulson
parents:
diff
changeset
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inv :: "[int,int] => int" |
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4d01dbf6ded7
Chinese Remainder Theorem, Wilsons Theorem, etc., by T M Masmussen
paulson
parents:
diff
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4d01dbf6ded7
Chinese Remainder Theorem, Wilsons Theorem, etc., by T M Masmussen
paulson
parents:
diff
changeset
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defs |
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4d01dbf6ded7
Chinese Remainder Theorem, Wilsons Theorem, etc., by T M Masmussen
paulson
parents:
diff
changeset
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reciR_def "reciR p == (%a b. zcong (a*b) #1 p & |
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4d01dbf6ded7
Chinese Remainder Theorem, Wilsons Theorem, etc., by T M Masmussen
paulson
parents:
diff
changeset
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#1<a & a<p-#1 & #1<b & b<p-#1)" |
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4d01dbf6ded7
Chinese Remainder Theorem, Wilsons Theorem, etc., by T M Masmussen
paulson
parents:
diff
changeset
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inv_def "inv p a == (if p:zprime & #0<a & a<p then |
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4d01dbf6ded7
Chinese Remainder Theorem, Wilsons Theorem, etc., by T M Masmussen
paulson
parents:
diff
changeset
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(@x. #0<=x & x<p & zcong (a*x) #1 p) |
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4d01dbf6ded7
Chinese Remainder Theorem, Wilsons Theorem, etc., by T M Masmussen
paulson
parents:
diff
changeset
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else #0)" |
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4d01dbf6ded7
Chinese Remainder Theorem, Wilsons Theorem, etc., by T M Masmussen
paulson
parents:
diff
changeset
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4d01dbf6ded7
Chinese Remainder Theorem, Wilsons Theorem, etc., by T M Masmussen
paulson
parents:
diff
changeset
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end |