| author | wenzelm |
| Thu, 15 Nov 2001 18:20:13 +0100 | |
| changeset 12207 | 4dff931b852f |
| parent 243 | c22b85994e17 |
| permissions | -rw-r--r-- |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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(* Title: HOLCF/fun1.ML |
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ID: $Id$ |
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Author: Franz Regensburger |
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Copyright 1993 Technische Universitaet Muenchen |
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Lemmas for fun1.thy |
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*) |
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open Fun1; |
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(* ------------------------------------------------------------------------ *) |
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(* less_fun is a partial order on 'a => 'b *) |
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(* ------------------------------------------------------------------------ *) |
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val refl_less_fun = prove_goalw Fun1.thy [less_fun_def] "less_fun(f,f)" |
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(fn prems => |
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[ |
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(fast_tac (HOL_cs addSIs [refl_less]) 1) |
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]); |
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val antisym_less_fun = prove_goalw Fun1.thy [less_fun_def] |
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"[|less_fun(f1,f2); less_fun(f2,f1)|] ==> f1 = f2" |
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(fn prems => |
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[ |
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(cut_facts_tac prems 1), |
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(rtac (expand_fun_eq RS ssubst) 1), |
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(fast_tac (HOL_cs addSIs [antisym_less]) 1) |
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]); |
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val trans_less_fun = prove_goalw Fun1.thy [less_fun_def] |
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"[|less_fun(f1,f2); less_fun(f2,f3)|] ==> less_fun(f1,f3)" |
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(fn prems => |
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[ |
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(cut_facts_tac prems 1), |
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(strip_tac 1), |
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(rtac trans_less 1), |
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(etac allE 1), |
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(atac 1), |
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((etac allE 1) THEN (atac 1)) |
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]); |
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(* |
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-------------------------------------------------------------------------- |
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Since less_fun :: "['a::term=>'b::po,'a::term=>'b::po] => bool" the |
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lemmas refl_less_fun, antisym_less_fun, trans_less_fun justify |
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the class arity fun::(term,po)po !! |
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-------------------------------------------------------------------------- |
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*) |
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