lh-l4v/lib/GenericTag.thy

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(*
* Copyright 2019, Data61
* Commonwealth Scientific and Industrial Research Organisation (CSIRO)
* ABN 41 687 119 230.
* This software may be distributed and modified according to the terms of
* the BSD 2-Clause license. Note that NO WARRANTY is provided.
* See "LICENSE_BSD2.txt" for details.
* @TAG(DATA61_BSD)
*)
theory GenericTag
imports
HOL.HOL
begin
text \<open>
Generic annotation constant.
@{typ 'ns} is a namespace parameter and should be a different
type or constant for each distinct use of this constant.
@{typ 'tag} is an arbitrary annotation associated with the actual
value @{term x}.
\<close>
definition generic_tag :: "'ns \<Rightarrow> 'tag \<Rightarrow> 'a \<Rightarrow> 'a"
where remove_generic_tag[code del]: "generic_tag _ _ x \<equiv> x"
text \<open>Often the tagged value is a proposition to be proved.\<close>
lemma generic_tagP_I:
"P \<Longrightarrow> generic_tag ns tag P"
by (simp add: remove_generic_tag)
lemma generic_tag_True:
"generic_tag ns tag True"
by (simp add: remove_generic_tag)
text \<open>We often want to avoid rewriting under annotations.\<close>
lemma generic_tag_cong:
"x = x' \<Longrightarrow> generic_tag ns tag x = generic_tag ns tag x'"
by simp
end