| author | wenzelm |
| Thu, 31 Aug 2000 01:42:23 +0200 | |
| changeset 9762 | 66f7eefb3967 |
| parent 9435 | c3a13a7d4424 |
| child 10309 | a7f961fb62c6 |
| permissions | -rw-r--r-- |
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9435
c3a13a7d4424
lemmas [arith_split] = abs_split (*belongs to theory RealAbs*);
wenzelm
parents:
9013
diff
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(* Title : HOL/Real/RealPow.thy |
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ID : $Id$ |
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7077
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Author : Jacques D. Fleuriot |
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60b098bb8b8a
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Copyright : 1998 University of Cambridge |
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60b098bb8b8a
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Description : Natural powers theory |
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60b098bb8b8a
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60b098bb8b8a
heavily revised by Jacques: coercions have alphabetic names;
paulson
parents:
diff
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*) |
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60b098bb8b8a
heavily revised by Jacques: coercions have alphabetic names;
paulson
parents:
diff
changeset
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9435
c3a13a7d4424
lemmas [arith_split] = abs_split (*belongs to theory RealAbs*);
wenzelm
parents:
9013
diff
changeset
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theory RealPow = RealAbs: |
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7077
60b098bb8b8a
heavily revised by Jacques: coercions have alphabetic names;
paulson
parents:
diff
changeset
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9435
c3a13a7d4424
lemmas [arith_split] = abs_split (*belongs to theory RealAbs*);
wenzelm
parents:
9013
diff
changeset
|
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(*belongs to theory RealAbs*) |
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c3a13a7d4424
lemmas [arith_split] = abs_split (*belongs to theory RealAbs*);
wenzelm
parents:
9013
diff
changeset
|
12 |
lemmas [arith_split] = abs_split |
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c3a13a7d4424
lemmas [arith_split] = abs_split (*belongs to theory RealAbs*);
wenzelm
parents:
9013
diff
changeset
|
13 |
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c3a13a7d4424
lemmas [arith_split] = abs_split (*belongs to theory RealAbs*);
wenzelm
parents:
9013
diff
changeset
|
14 |
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c3a13a7d4424
lemmas [arith_split] = abs_split (*belongs to theory RealAbs*);
wenzelm
parents:
9013
diff
changeset
|
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instance real :: power |
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c3a13a7d4424
lemmas [arith_split] = abs_split (*belongs to theory RealAbs*);
wenzelm
parents:
9013
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by intro_classes |
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paulson
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primrec (realpow) |
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9435
c3a13a7d4424
lemmas [arith_split] = abs_split (*belongs to theory RealAbs*);
wenzelm
parents:
9013
diff
changeset
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realpow_0: "r ^ 0 = #1" |
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c3a13a7d4424
lemmas [arith_split] = abs_split (*belongs to theory RealAbs*);
wenzelm
parents:
9013
diff
changeset
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realpow_Suc: "r ^ (Suc n) = (r::real) * (r ^ n)" |
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7077
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heavily revised by Jacques: coercions have alphabetic names;
paulson
parents:
diff
changeset
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60b098bb8b8a
heavily revised by Jacques: coercions have alphabetic names;
paulson
parents:
diff
changeset
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end |