| author | wenzelm |
| Sat, 03 Nov 2001 01:38:39 +0100 | |
| changeset 12027 | 1281e9bf57f6 |
| parent 5068 | fb28eaa07e01 |
| child 12030 | 46d57d0290a2 |
| permissions | -rw-r--r-- |
|
2841
c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
1 |
(* Title: HOLCF/Discrete0.ML |
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c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
2 |
ID: $Id$ |
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c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
3 |
Author: Tobias Nipkow |
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c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
4 |
Copyright 1997 TUM |
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c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
5 |
|
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c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
6 |
Proves that 'a discr is a po |
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c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
7 |
*) |
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c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
8 |
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| 5068 | 9 |
Goalw [less_discr_def] "(x::('a::term)discr) << x";
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| 3018 | 10 |
by (rtac refl 1); |
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2841
c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
11 |
qed "less_discr_refl"; |
|
c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
12 |
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| 5068 | 13 |
Goalw [less_discr_def] |
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3323
194ae2e0c193
eliminated the constant less by the introduction of the axclass sq_ord
slotosch
parents:
3018
diff
changeset
|
14 |
"!!x. [| (x::('a::term)discr) << y; y << z |] ==> x << z";
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| 3018 | 15 |
by (etac trans 1); |
16 |
by (assume_tac 1); |
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2841
c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
17 |
qed "less_discr_trans"; |
|
c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
18 |
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| 5068 | 19 |
Goalw [less_discr_def] |
|
3323
194ae2e0c193
eliminated the constant less by the introduction of the axclass sq_ord
slotosch
parents:
3018
diff
changeset
|
20 |
"!!x. [| (x::('a::term)discr) << y; y << x |] ==> x=y";
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| 3018 | 21 |
by (assume_tac 1); |
|
2841
c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
22 |
qed "less_discr_antisym"; |