Theory LaTeXsugar

(*  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
(*>*)