Nominal/Ex/CPS/CPS3_DanvyFilinski.thy
changeset 3197 25d11b449e92
parent 3192 14c7d7e29c44
child 3231 188826f1ccdb
equal deleted inserted replaced
3196:ca6ca6fc28af 3197:25d11b449e92
    11 | "eqvt k \<Longrightarrow> atom c \<sharp> (x, M) \<Longrightarrow> (Lam x M)*k = k (Lam x (Lam c (M^(c~))))"
    11 | "eqvt k \<Longrightarrow> atom c \<sharp> (x, M) \<Longrightarrow> (Lam x M)*k = k (Lam x (Lam c (M^(c~))))"
    12 | "\<not>eqvt k \<Longrightarrow> (CPS1 t k) = t"
    12 | "\<not>eqvt k \<Longrightarrow> (CPS1 t k) = t"
    13 | "(x~)^l = l $$ (x~)"
    13 | "(x~)^l = l $$ (x~)"
    14 | "(M$$N)^l = M*(%m. (N*(%n.((m $$ n) $$ l))))"
    14 | "(M$$N)^l = M*(%m. (N*(%n.((m $$ n) $$ l))))"
    15 | "atom c \<sharp> (x, M) \<Longrightarrow> (Lam x M)^l = l $$ (Lam x (Lam c (M^(c~))))"
    15 | "atom c \<sharp> (x, M) \<Longrightarrow> (Lam x M)^l = l $$ (Lam x (Lam c (M^(c~))))"
    16   apply (simp only: eqvt_def CPS1_CPS2_graph_def)
    16   apply (simp add: eqvt_def CPS1_CPS2_graph_aux_def)
    17   apply (rule, perm_simp, rule)
       
    18   using [[simproc del: alpha_lst]]
    17   using [[simproc del: alpha_lst]]
    19   apply auto
    18   apply auto
    20   apply (case_tac x)
    19   apply (case_tac x)
    21   apply (case_tac a)
    20   apply (case_tac a)
    22   apply (case_tac "eqvt b")
    21   apply (case_tac "eqvt b")