src/HOLCF/Discrete1.ML
author berghofe
Fri, 10 Dec 2004 16:48:01 +0100
changeset 15394 a2c34e6ca4f8
parent 14981 e73f8140af78
permissions -rw-r--r--
New code generator for let and split.
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(*  Title:      HOLCF/Discrete1.ML
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    ID:         $Id$
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    Author:     Tobias Nipkow
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Proves that 'a discr is a cpo
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*)
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Goalw [less_discr_def] "((x::('a::type)discr) << y) = (x=y)";
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by (rtac refl 1);
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qed "discr_less_eq";
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AddIffs [discr_less_eq];
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Goalw [chain_def]
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 "!!S::nat=>('a::type)discr. chain S ==> S i = S 0";
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by (induct_tac "i" 1);
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by (rtac refl 1);
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by (etac subst 1);
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by (rtac sym 1);
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by (Fast_tac 1);
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qed "discr_chain0";
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Goal
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 "!!S::nat=>('a::type)discr. chain(S) ==> range(S) = {S 0}";
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by (fast_tac (claset() addEs [discr_chain0]) 1);
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qed "discr_chain_range0";
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Addsimps [discr_chain_range0];
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Goalw [is_lub_def,is_ub_def]
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 "!!S. chain S ==> ? x::('a::type)discr. range(S) <<| x";
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by (Asm_simp_tac 1);
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qed "discr_cpo";