experiments
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@ -75,7 +75,8 @@ doc_class report =
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abstract ~~
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\<lbrakk>table_of_contents\<rbrakk> ~~
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\<lbrace>introduction\<rbrace>\<^sup>+ ~~
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\<lbrace>technical || figure \<rbrace>\<^sup>+ ~~
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\<lbrace>background\<rbrace>\<^sup>* ~~
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\<lbrace>technical || example \<rbrace>\<^sup>+ ~~
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\<lbrace>conclusion\<rbrace>\<^sup>+ ~~
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\<lbrace>index\<rbrace>\<^sup>* ~~
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bibliography)"
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@ -138,12 +139,23 @@ notation Times (infixr "~~" 60)
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notation Atom ("\<lfloor>_\<rfloor>" 65)
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lemma seq_cancel : "Lang (a ~~ b) \<subseteq> Lang (a ~~ c) = (Lang (b) \<subseteq> Lang (c))" sorry
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lemma seq_cancel : "Lang (a ~~ b) \<subseteq> Lang (a ~~ c) = (Lang (b) \<subseteq> Lang (c))"
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apply auto
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thm subsetCE
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apply(drule_tac c=x in subsetCE)
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prefer 3 apply assumption
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find_theorems subset_eq elim
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prefer 2
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sledgehammer
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sorry
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lemma seq_d1 : "Lang (opt b ~~ a) \<subseteq> Lang ( c) = (Lang (a) \<subseteq> Lang (c))" sorry
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lemma seq_d2 : "Lang (a) \<subseteq> Lang (opt b ~~ c) = (Lang (a) \<subseteq> Lang (c))" sorry
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lemma seq_d2 : "Lang (rep1 b ~~ a) \<subseteq> Lang ( c) = (Lang (a) \<subseteq> Lang (c))" sorry
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lemma seq_d3 : "Lang (a) \<subseteq> Lang (opt b ~~ c) = (Lang (a) \<subseteq> Lang (c))" sorry
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lemma seq_d4 : "Lang (a) \<subseteq> Lang (Star b ~~ c) = (Lang (a) \<subseteq> Lang (c))" sorry
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lemma \<open>(Lang article_monitor) \<subseteq> Lang report_monitor\<close>
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unfolding article_monitor_def report_monitor_def
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apply(simp only: seq_cancel seq_d1 seq_d2)
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apply(simp only: seq_cancel seq_d1 seq_d2 seq_d3)
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oops
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