src/HOLCF/HOLCF.thy
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(*  Title:      HOLCF/HOLCF.thy
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    Author:     Franz Regensburger
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HOLCF -- a semantic extension of HOL by the LCF logic.
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*)
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theory HOLCF
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imports
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  Main
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  Domain
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  Powerdomains
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  Sum_Cpo
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begin
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defaultsort pcpo
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text {* Legacy theorem names *}
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lemmas sq_ord_less_eq_trans = below_eq_trans
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lemmas sq_ord_eq_less_trans = eq_below_trans
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lemmas refl_less = below_refl
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lemmas trans_less = below_trans
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lemmas antisym_less = below_antisym
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lemmas antisym_less_inverse = below_antisym_inverse
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lemmas box_less = box_below
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lemmas rev_trans_less = rev_below_trans
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lemmas not_less2not_eq = not_below2not_eq
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lemmas less_UU_iff = below_UU_iff
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lemmas flat_less_iff = flat_below_iff
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lemmas adm_less = adm_below
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lemmas adm_not_less = adm_not_below
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lemmas adm_compact_not_less = adm_compact_not_below
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lemmas less_fun_def = below_fun_def
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lemmas expand_fun_less = expand_fun_below
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lemmas less_fun_ext = below_fun_ext
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lemmas less_discr_def = below_discr_def
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lemmas discr_less_eq = discr_below_eq
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lemmas less_unit_def = below_unit_def
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lemmas less_cprod_def = below_prod_def
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lemmas prod_lessI = prod_belowI
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lemmas Pair_less_iff = Pair_below_iff
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lemmas fst_less_iff = fst_below_iff
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lemmas snd_less_iff = snd_below_iff
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lemmas expand_cfun_less = expand_cfun_below
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lemmas less_cfun_ext = below_cfun_ext
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lemmas injection_less = injection_below
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lemmas approx_less = approx_below
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lemmas profinite_less_ext = profinite_below_ext
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lemmas less_up_def = below_up_def
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lemmas not_Iup_less = not_Iup_below
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lemmas Iup_less = Iup_below
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lemmas up_less = up_below
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lemmas cpair_less = cpair_below
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lemmas less_cprod = below_cprod
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lemmas cfst_less_iff = cfst_below_iff
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lemmas csnd_less_iff = csnd_below_iff
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lemmas Def_inject_less_eq = Def_below_Def
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lemmas Def_less_is_eq = Def_below_iff
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lemmas spair_less_iff = spair_below_iff
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lemmas less_sprod = below_sprod
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lemmas spair_less = spair_below
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lemmas sfst_less_iff = sfst_below_iff
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lemmas ssnd_less_iff = ssnd_below_iff
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lemmas fix_least_less = fix_least_below
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lemmas dist_less_one = dist_below_one
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lemmas less_ONE = below_ONE
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lemmas ONE_less_iff = ONE_below_iff
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lemmas less_sinlD = below_sinlD
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lemmas less_sinrD = below_sinrD
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end