author | wenzelm |
Mon, 03 Nov 1997 14:06:27 +0100 | |
changeset 4098 | 71e05eb27fb6 |
parent 3842 | b55686a7b22c |
child 4423 | a129b817b58a |
permissions | -rw-r--r-- |
2841
c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
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parents:
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1 |
(* Title: HOLCF/Discrete.ML |
c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
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parents:
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ID: $Id$ |
c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
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3 |
Author: Tobias Nipkow |
c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
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Copyright 1997 TUM |
c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
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parents:
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5 |
*) |
c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
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6 |
|
c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
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7 |
goalw thy [undiscr_def] "undiscr(Discr x) = x"; |
c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
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diff
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8 |
by(Simp_tac 1); |
c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
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9 |
qed "undiscr_Discr"; |
c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
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10 |
Addsimps [undiscr_Discr]; |
c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
11 |
|
c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
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12 |
goal thy |
3842 | 13 |
"!!S::nat=>('a::term)discr. is_chain(S) ==> range(%i. f(S i)) = {f(S 0)}"; |
4098 | 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
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16 |
|
3842 | 17 |
goalw thy [cont,is_lub,is_ub] "cont(%x::('a::term)discr. f x)"; |
4098 | 18 |
by(simp_tac (simpset() addsimps [discr_chain_f_range0]) 1); |
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]; |