src/HOL/Library/LaTeXsugar.thy
author haftmann
Thu, 15 Jan 2009 14:52:24 +0100
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(*  Title:      HOL/Library/LaTeXsugar.thy
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    Author:     Gerwin Klain, Tobias Nipkow, Norbert Schirmer
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    Copyright   2005 NICTA and TUM
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*)
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(*<*)
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theory LaTeXsugar
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imports Plain "~~/src/HOL/List"
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begin
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(* LOGIC *)
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notation (latex output)
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  If  ("(\<^raw:\textsf{>if\<^raw:}> (_)/ \<^raw:\textsf{>then\<^raw:}> (_)/ \<^raw:\textsf{>else\<^raw:}> (_))" 10)
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syntax (latex output)
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  "_Let"        :: "[letbinds, 'a] => 'a"
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  ("(\<^raw:\textsf{>let\<^raw:}> (_)/ \<^raw:\textsf{>in\<^raw:}> (_))" 10)
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  "_case_syntax":: "['a, cases_syn] => 'b"
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  ("(\<^raw:\textsf{>case\<^raw:}> _ \<^raw:\textsf{>of\<^raw:}>/ _)" 10)
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(* should become standard syntax once x-symbols supports it *)
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syntax (latex)
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  nexists :: "('a => bool) => bool"           (binder "\<nexists>" 10)
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translations
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  "\<nexists>x. P" <= "\<not>(\<exists>x. P)"
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(* SETS *)
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(* empty set *)
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notation (latex)
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  "{}" ("\<emptyset>")
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(* insert *)
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translations 
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  "{x} \<union> A" <= "insert x A"
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  "{x,y}" <= "{x} \<union> {y}"
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  "{x,y} \<union> A" <= "{x} \<union> ({y} \<union> A)"
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  "{x}" <= "{x} \<union> \<emptyset>"
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(* set comprehension *)
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syntax (latex output)
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  "_Collect" :: "pttrn => bool => 'a set"              ("(1{_ | _})")
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translations
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  "_Collect p P"      <= "{p. P}"
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  "_Collect p P"      <= "{p|xs. P}"
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(* LISTS *)
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(* Cons *)
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notation (latex)
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  Cons  ("_\<cdot>/_" [66,65] 65)
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(* length *)
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notation (latex output)
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  length  ("|_|")
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(* nth *)
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notation (latex output)
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  nth  ("_\<^raw:\ensuremath{_{[\mathit{>_\<^raw:}]}}>" [1000,0] 1000)
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(* DUMMY *)
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consts DUMMY :: 'a ("\<^raw:\_>")
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(* THEOREMS *)
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syntax (Rule output)
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  "==>" :: "prop \<Rightarrow> prop \<Rightarrow> prop"
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  ("\<^raw:\mbox{}\inferrule{\mbox{>_\<^raw:}}>\<^raw:{\mbox{>_\<^raw:}}>")
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  "_bigimpl" :: "asms \<Rightarrow> prop \<Rightarrow> prop"
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  ("\<^raw:\mbox{}\inferrule{>_\<^raw:}>\<^raw:{\mbox{>_\<^raw:}}>")
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  "_asms" :: "prop \<Rightarrow> asms \<Rightarrow> asms" 
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  ("\<^raw:\mbox{>_\<^raw:}\\>/ _")
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  "_asm" :: "prop \<Rightarrow> asms" ("\<^raw:\mbox{>_\<^raw:}>")
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syntax (Axiom output)
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  "Trueprop" :: "bool \<Rightarrow> prop"
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  ("\<^raw:\mbox{}\inferrule{\mbox{}}{\mbox{>_\<^raw:}}>")
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syntax (IfThen output)
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  "==>" :: "prop \<Rightarrow> prop \<Rightarrow> prop"
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  ("\<^raw:{\normalsize{}>If\<^raw:\,}> _/ \<^raw:{\normalsize \,>then\<^raw:\,}>/ _.")
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  "_bigimpl" :: "asms \<Rightarrow> prop \<Rightarrow> prop"
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  ("\<^raw:{\normalsize{}>If\<^raw:\,}> _ /\<^raw:{\normalsize \,>then\<^raw:\,}>/ _.")
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  "_asms" :: "prop \<Rightarrow> asms \<Rightarrow> asms" ("\<^raw:\mbox{>_\<^raw:}> /\<^raw:{\normalsize \,>and\<^raw:\,}>/ _")
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  "_asm" :: "prop \<Rightarrow> asms" ("\<^raw:\mbox{>_\<^raw:}>")
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syntax (IfThenNoBox output)
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  "==>" :: "prop \<Rightarrow> prop \<Rightarrow> prop"
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  ("\<^raw:{\normalsize{}>If\<^raw:\,}> _/ \<^raw:{\normalsize \,>then\<^raw:\,}>/ _.")
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  "_bigimpl" :: "asms \<Rightarrow> prop \<Rightarrow> prop"
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  ("\<^raw:{\normalsize{}>If\<^raw:\,}> _ /\<^raw:{\normalsize \,>then\<^raw:\,}>/ _.")
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  "_asms" :: "prop \<Rightarrow> asms \<Rightarrow> asms" ("_ /\<^raw:{\normalsize \,>and\<^raw:\,}>/ _")
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  "_asm" :: "prop \<Rightarrow> asms" ("_")
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end
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(*>*)