| author | wenzelm |
| Tue, 16 Dec 1997 17:58:03 +0100 | |
| changeset 4423 | a129b817b58a |
| parent 4098 | 71e05eb27fb6 |
| child 4721 | c8a8482a8124 |
| 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/Discrete.ML |
|
c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
2 |
ID: $Id$ |
|
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 |
*) |
|
c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
6 |
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c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
7 |
goalw thy [undiscr_def] "undiscr(Discr x) = x"; |
| 4423 | 8 |
by (Simp_tac 1); |
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2841
c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
9 |
qed "undiscr_Discr"; |
|
c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
10 |
Addsimps [undiscr_Discr]; |
|
c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
11 |
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c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
12 |
goal thy |
| 3842 | 13 |
"!!S::nat=>('a::term)discr. is_chain(S) ==> range(%i. f(S i)) = {f(S 0)}";
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| 4423 | 14 |
by (fast_tac (claset() addDs [discr_chain0] addEs [arg_cong]) 1); |
|
2841
c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
15 |
qed "discr_chain_f_range0"; |
|
c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
16 |
|
| 3842 | 17 |
goalw thy [cont,is_lub,is_ub] "cont(%x::('a::term)discr. f x)";
|
| 4423 | 18 |
by (simp_tac (simpset() addsimps [discr_chain_f_range0]) 1); |
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2841
c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
19 |
qed "cont_discr"; |
|
c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
20 |
AddIffs [cont_discr]; |