# Theory LaTeXsugar

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theory LaTeXsugar
imports Main
begin

    (*  Title:      HOL/Library/LaTeXsugar.thy
        ID:         $Id: LaTeXsugar.thy,v 1.4 2005/05/30 06:22:54 nipkow Exp $
        Author:     Gerwin Klain, Tobias Nipkow, Norbert Schirmer
        Copyright   2005 NICTA and TUM
    *)

    (*<*)
    theory LaTeXsugar
    imports Main
    begin

    (* LOGIC *)
    syntax (latex output)
      If            :: "[bool, 'a, 'a] => 'a"
      ("(\textsf{if} (_)/ \textsf{then} (_)/ \textsf{else} (_))" 10)

      "_Let"        :: "[letbinds, 'a] => 'a"
      ("(\textsf{let} (_)/ \textsf{in} (_))" 10)

      "_case_syntax":: "['a, cases_syn] => 'b"
      ("(\textsf{case} _ \textsf{of}/ _)" 10)

    (* should become standard syntax once x-symbols supports it *)
    syntax (latex)
      nexists :: "('a => bool) => bool"           (binder "\<nexists>" 10)
    translations
      "\<nexists>x. P" <= "¬(∃x. P)"

    (* SETS *)

    (* empty set *)
    syntax (latex output)
      "_emptyset" :: "'a set"              ("∅")
    translations
      "_emptyset"      <= "{}"

    (* insert *)
    translations
      "{x} ∪ A" <= "insert x A"
      "{x,y}" <= "{x} ∪ {y}"
      "{x,y} ∪ A" <= "{x} ∪ ({y} ∪ A)"
      "{x}" <= "{x} ∪ _emptyset"

    (* set comprehension *)
    syntax (latex output)
      "_Collect" :: "pttrn => bool => 'a set"              ("(1{_ | _})")
    translations
      "_Collect p P"      <= "{p. P}"
      "_Collect p P"      <= "{p|xs. P}"

    (* LISTS *)

    (* Cons *)
    syntax (latex)
      Cons :: "'a => 'a list => 'a list" ("_·/_" [66,65] 65)

    (* length *)
    syntax (latex output)
      length :: "'a list => nat" ("|_|")

    (* nth *)
    syntax (latex output)
      nth :: "'a list => nat => 'a" ("_\ensuremath{_{[\mathit{_}]}}" [1000,0] 1000)

    (* DUMMY *)
    consts DUMMY :: 'a ("\_")

    (* THEOREMS *)
    syntax (Rule output)
      "==>" :: "prop => prop => prop"
      ("\mbox{}\inferrule{\mbox{_}}{\mbox{_}}")

      "_bigimpl" :: "asms => prop => prop"
      ("\mbox{}\inferrule{_}{\mbox{_}}")

      "_asms" :: "prop => asms => asms"
      ("\mbox{_}\\/ _")

      "_asm" :: "prop => asms" ("\mbox{_}")

    syntax (IfThen output)
      "==>" :: "prop => prop => prop"
      ("{\rmfamily\upshape\normalsize{}If\,} _/ {\rmfamily\upshape\normalsize \,then\,}/ _.")
      "_bigimpl" :: "asms => prop => prop"
      ("{\rmfamily\upshape\normalsize{}If\,} _ /{\rmfamily\upshape\normalsize \,then\,}/ _.")
      "_asms" :: "prop => asms => asms" ("\mbox{_} /{\rmfamily\upshape\normalsize \,and\,}/ _")
      "_asm" :: "prop => asms" ("\mbox{_}")

    syntax (IfThenNoBox output)
      "==>" :: "prop => prop => prop"
      ("{\rmfamily\upshape\normalsize{}If\,} _/ {\rmfamily\upshape\normalsize \,then\,}/ _.")
      "_bigimpl" :: "asms => prop => prop"
      ("{\rmfamily\upshape\normalsize{}If\,} _ /{\rmfamily\upshape\normalsize \,then\,}/ _.")
      "_asms" :: "prop => asms => asms" ("_ /{\rmfamily\upshape\normalsize \,and\,}/ _")
      "_asm" :: "prop => asms" ("_")

    end
    (*>*)