(* Title: HOL/Statespace/StateSpaceLocale.thy
Author: Norbert Schirmer, TU Muenchen
*)
section \<open>Setup for State Space Locales \label{sec:StateSpaceLocale}\<close>
theory StateSpaceLocale imports StateFun
keywords "statespace" :: thy_decl
begin
ML_file "state_space.ML"
ML_file "state_fun.ML"
text \<open>For every type that is to be stored in a state space, an
instance of this locale is imported in order convert the abstract and
concrete values.\<close>
locale project_inject =
fixes project :: "'value \<Rightarrow> 'a"
and inject :: "'a \<Rightarrow> 'value"
assumes project_inject_cancel [statefun_simp]: "project (inject x) = x"
begin
lemma ex_project [statefun_simp]: "\<exists>v. project v = x"
proof
show "project (inject x) = x"
by (rule project_inject_cancel)
qed
lemma project_inject_comp_id [statefun_simp]: "project \<circ> inject = id"
by (rule ext) (simp add: project_inject_cancel)
lemma project_inject_comp_cancel[statefun_simp]: "f \<circ> project \<circ> inject = f"
by (rule ext) (simp add: project_inject_cancel)
end
end