Nominal/Ex/SingleLet.thy
author Christian Urban <urbanc@in.tum.de>
Mon, 31 May 2010 19:57:29 +0200
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permissions -rw-r--r--
all raw definitions are defined using function
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theory SingleLet
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imports "../NewParser"
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begin
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atom_decl name
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ML {*  Function.add_function *}
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ML {* print_depth 50 *}
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declare [[STEPS = 8]]
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nominal_datatype trm =
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  Var "name"
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| App "trm" "trm"
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| Lam x::"name" t::"trm"  bind_set x in t
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| Let a::"assg" t::"trm"  bind_set "bn a" in t
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| Foo x::"name" y::"name" t::"trm" bind_set x in y t
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| Bar x::"name" y::"name" t::"trm" bind y x in t x y
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and assg =
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  As "name" "trm"
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binder
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  bn::"assg \<Rightarrow> atom set"
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where
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  "bn (As x t) = {atom x}"
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thm permute_trm_raw_permute_assg_raw.simps[no_vars]
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thm fv_trm_raw.simps[no_vars] fv_assg_raw.simps[no_vars] fv_bn_raw.simps[no_vars] bn_raw.simps[no_vars]
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thm alpha_trm_raw_alpha_assg_raw_alpha_bn_raw.intros[no_vars]
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ML {* val {inducts, ... } = Function.get_info @{context} @{term "fv_trm_raw"}*}
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ML {* Rule_Cases.strict_mutual_rule @{context} (the inducts) *}
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lemma
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 shows "p1 \<bullet> fv_trm_raw trm_raw = fv_trm_raw (p1 \<bullet> trm_raw)"
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 and "p1 \<bullet> fv_assg_raw assg_raw = fv_assg_raw (p1 \<bullet> assg_raw)"
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 and "p1 \<bullet> fv_bn_raw assg_raw = fv_bn_raw (p1 \<bullet> assg_raw)"
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apply(induct trm_raw and assg_raw and assg_raw rule: fv_trm_raw_fv_assg_raw_fv_bn_raw.induct)
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apply(perm_simp add: fv_trm_raw.simps fv_assg_raw.simps fv_bn_raw.simps, rule refl)+
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done
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ML {* Inductive.the_inductive *}
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thm trm_assg.fv
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thm trm_assg.supp
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thm trm_assg.eq_iff
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thm trm_assg.bn
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thm trm_assg.perm
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thm trm_assg.induct
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thm trm_assg.inducts
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thm trm_assg.distinct
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ML {* Sign.of_sort @{theory} (@{typ trm}, @{sort fs}) *}
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(* TEMPORARY
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thm trm_assg.fv[simplified trm_assg.supp(1-2)]
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*)
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end
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