modules numeral_simprocs, nat_numeral_simprocs; proper structures for numeral simprocs
(* Title: HOL/Record.thy
ID: $Id$
Author: Wolfgang Naraschewski, Norbert Schirmer and Markus Wenzel, TU Muenchen
*)
header {* Extensible records with structural subtyping *}
theory Record
imports Product_Type
uses ("Tools/record_package.ML")
begin
lemma prop_subst: "s = t \<Longrightarrow> PROP P t \<Longrightarrow> PROP P s"
by simp
lemma rec_UNIV_I: "\<And>x. x\<in>UNIV \<equiv> True"
by simp
lemma rec_True_simp: "(True \<Longrightarrow> PROP P) \<equiv> PROP P"
by simp
lemma K_record_comp: "(\<lambda>x. c) \<circ> f = (\<lambda>x. c)"
by (simp add: comp_def)
subsection {* Concrete record syntax *}
nonterminals
ident field_type field_types field fields update updates
syntax
"_constify" :: "id => ident" ("_")
"_constify" :: "longid => ident" ("_")
"_field_type" :: "[ident, type] => field_type" ("(2_ ::/ _)")
"" :: "field_type => field_types" ("_")
"_field_types" :: "[field_type, field_types] => field_types" ("_,/ _")
"_record_type" :: "field_types => type" ("(3'(| _ |'))")
"_record_type_scheme" :: "[field_types, type] => type" ("(3'(| _,/ (2... ::/ _) |'))")
"_field" :: "[ident, 'a] => field" ("(2_ =/ _)")
"" :: "field => fields" ("_")
"_fields" :: "[field, fields] => fields" ("_,/ _")
"_record" :: "fields => 'a" ("(3'(| _ |'))")
"_record_scheme" :: "[fields, 'a] => 'a" ("(3'(| _,/ (2... =/ _) |'))")
"_update_name" :: idt
"_update" :: "[ident, 'a] => update" ("(2_ :=/ _)")
"" :: "update => updates" ("_")
"_updates" :: "[update, updates] => updates" ("_,/ _")
"_record_update" :: "['a, updates] => 'b" ("_/(3'(| _ |'))" [900,0] 900)
syntax (xsymbols)
"_record_type" :: "field_types => type" ("(3\<lparr>_\<rparr>)")
"_record_type_scheme" :: "[field_types, type] => type" ("(3\<lparr>_,/ (2\<dots> ::/ _)\<rparr>)")
"_record" :: "fields => 'a" ("(3\<lparr>_\<rparr>)")
"_record_scheme" :: "[fields, 'a] => 'a" ("(3\<lparr>_,/ (2\<dots> =/ _)\<rparr>)")
"_record_update" :: "['a, updates] => 'b" ("_/(3\<lparr>_\<rparr>)" [900,0] 900)
use "Tools/record_package.ML"
setup RecordPackage.setup
end