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(* Title: HOL/Ord.ML
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ID: $Id$
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Author: Tobias Nipkow, Cambridge University Computer Laboratory
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Copyright 1993 University of Cambridge
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The type class for ordered types
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*)
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open Ord;
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val [prem] = goalw Ord.thy [mono_def]
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"[| !!A B. A <= B ==> f(A) <= f(B) |] ==> mono(f)";
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by (REPEAT (ares_tac [allI, impI, prem] 1));
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qed "monoI";
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val [major,minor] = goalw Ord.thy [mono_def]
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"[| mono(f); A <= B |] ==> f(A) <= f(B)";
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by (rtac (major RS spec RS spec RS mp) 1);
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by (rtac minor 1);
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qed "monoD";
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