author | clasohm |
Wed, 02 Nov 1994 11:50:09 +0100 | |
changeset 156 | fd1be45b64bf |
parent 145 | a9f7ff3a464c |
permissions | -rw-r--r-- |
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(* Title: HOL/Ord.thy |
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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 (* FIXME improve comment *) |
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*) |
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Ord = HOL + |
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axclass |
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ord < term |
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consts |
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"<", "<=" :: "['a::ord, 'a] => bool" (infixl 50) |
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mono :: "['a::ord => 'b::ord] => bool" (*monotonicity*) |
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min, max :: "['a::ord, 'a] => 'a" |
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defs |
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mono_def "mono(f) == (!A B. A <= B --> f(A) <= f(B))" |
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min_def "min(a, b) == if(a <= b, a, b)" |
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max_def "max(a, b) == if(a <= b, b, a)" |
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end |
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