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17644
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     1  | 
import
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     2  | 
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     3  | 
import_segment "hollight"
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     4  | 
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     5  | 
type_maps
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19093
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     6  | 
  "sum" > "+"
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17644
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     7  | 
  "recspace" > "HOLLight.hollight.recspace"
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     8  | 
  "real" > "HOLLight.hollight.real"
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     9  | 
  "prod" > "*"
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    10  | 
  "option" > "HOLLight.hollight.option"
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    11  | 
  "num" > "nat"
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    12  | 
  "nadd" > "HOLLight.hollight.nadd"
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    13  | 
  "list" > "HOLLight.hollight.list"
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    14  | 
  "int" > "HOLLight.hollight.int"
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    15  | 
  "ind" > "Nat.ind"
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    16  | 
  "hreal" > "HOLLight.hollight.hreal"
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    17  | 
  "fun" > "fun"
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    18  | 
  "finite_sum" > "HOLLight.hollight.finite_sum"
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    19  | 
  "finite_image" > "HOLLight.hollight.finite_image"
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    20  | 
  "cart" > "HOLLight.hollight.cart"
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    21  | 
  "bool" > "bool"
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    22  | 
  "N_3" > "HOLLight.hollight.N_3"
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    23  | 
  "N_2" > "HOLLight.hollight.N_2"
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    24  | 
  "N_1" > "Product_Type.unit"
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    25  | 
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    26  | 
const_maps
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    27  | 
  "~" > "Not"
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    28  | 
  "two_2" > "HOLLight.hollight.two_2"
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    29  | 
  "two_1" > "HOLLight.hollight.two_1"
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    30  | 
  "treal_of_num" > "HOLLight.hollight.treal_of_num"
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    31  | 
  "treal_neg" > "HOLLight.hollight.treal_neg"
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    32  | 
  "treal_mul" > "HOLLight.hollight.treal_mul"
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    33  | 
  "treal_le" > "HOLLight.hollight.treal_le"
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    34  | 
  "treal_inv" > "HOLLight.hollight.treal_inv"
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    35  | 
  "treal_eq" > "HOLLight.hollight.treal_eq"
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    36  | 
  "treal_add" > "HOLLight.hollight.treal_add"
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    37  | 
  "three_3" > "HOLLight.hollight.three_3"
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    38  | 
  "three_2" > "HOLLight.hollight.three_2"
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    39  | 
  "three_1" > "HOLLight.hollight.three_1"
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    40  | 
  "tailadmissible" > "HOLLight.hollight.tailadmissible"
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    41  | 
  "support" > "HOLLight.hollight.support"
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    42  | 
  "superadmissible" > "HOLLight.hollight.superadmissible"
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    43  | 
  "sum" > "HOLLight.hollight.sum"
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    44  | 
  "sndcart" > "HOLLight.hollight.sndcart"
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    45  | 
  "set_of_list" > "HOLLight.hollight.set_of_list"
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    46  | 
  "real_sub" > "HOLLight.hollight.real_sub"
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    47  | 
  "real_pow" > "HOLLight.hollight.real_pow"
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    48  | 
  "real_of_num" > "HOLLight.hollight.real_of_num"
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    49  | 
  "real_neg" > "HOLLight.hollight.real_neg"
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    50  | 
  "real_mul" > "HOLLight.hollight.real_mul"
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    51  | 
  "real_min" > "HOLLight.hollight.real_min"
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    52  | 
  "real_max" > "HOLLight.hollight.real_max"
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    53  | 
  "real_lt" > "HOLLight.hollight.real_lt"
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    54  | 
  "real_le" > "HOLLight.hollight.real_le"
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    55  | 
  "real_inv" > "HOLLight.hollight.real_inv"
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    56  | 
  "real_gt" > "HOLLight.hollight.real_gt"
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    57  | 
  "real_ge" > "HOLLight.hollight.real_ge"
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    58  | 
  "real_div" > "HOLLight.hollight.real_div"
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    59  | 
  "real_add" > "HOLLight.hollight.real_add"
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    60  | 
  "real_abs" > "HOLLight.hollight.real_abs"
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    61  | 
  "pastecart" > "HOLLight.hollight.pastecart"
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    62  | 
  "pairwise" > "HOLLight.hollight.pairwise"
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    63  | 
  "one" > "Product_Type.Unity"
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    64  | 
  "o" > "Fun.comp"
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    65  | 
  "nsum" > "HOLLight.hollight.nsum"
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    66  | 
  "neutral" > "HOLLight.hollight.neutral"
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    67  | 
  "nadd_rinv" > "HOLLight.hollight.nadd_rinv"
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    68  | 
  "nadd_of_num" > "HOLLight.hollight.nadd_of_num"
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    69  | 
  "nadd_mul" > "HOLLight.hollight.nadd_mul"
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    70  | 
  "nadd_le" > "HOLLight.hollight.nadd_le"
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    71  | 
  "nadd_inv" > "HOLLight.hollight.nadd_inv"
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    72  | 
  "nadd_eq" > "HOLLight.hollight.nadd_eq"
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    73  | 
  "nadd_add" > "HOLLight.hollight.nadd_add"
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    74  | 
  "monoidal" > "HOLLight.hollight.monoidal"
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    75  | 
  "mod_real" > "HOLLight.hollight.mod_real"
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    76  | 
  "mod_nat" > "HOLLight.hollight.mod_nat"
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    77  | 
  "mod_int" > "HOLLight.hollight.mod_int"
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    78  | 
  "mk_pair" > "Product_Type.Pair_Rep"
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    79  | 
  "minimal" > "HOLLight.hollight.minimal"
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    80  | 
  "measure" > "HOLLight.hollight.measure"
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    81  | 
  "list_of_set" > "HOLLight.hollight.list_of_set"
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    82  | 
  "lambda" > "HOLLight.hollight.lambda"
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    83  | 
  "iterate" > "HOLLight.hollight.iterate"
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    84  | 
  "is_nadd" > "HOLLight.hollight.is_nadd"
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    85  | 
  "is_int" > "HOLLight.hollight.is_int"
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    86  | 
  "int_sub" > "HOLLight.hollight.int_sub"
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    87  | 
  "int_pow" > "HOLLight.hollight.int_pow"
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    88  | 
  "int_of_num" > "HOLLight.hollight.int_of_num"
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    89  | 
  "int_neg" > "HOLLight.hollight.int_neg"
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    90  | 
  "int_mul" > "HOLLight.hollight.int_mul"
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    91  | 
  "int_min" > "HOLLight.hollight.int_min"
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    92  | 
  "int_max" > "HOLLight.hollight.int_max"
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    93  | 
  "int_lt" > "HOLLight.hollight.int_lt"
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    94  | 
  "int_le" > "HOLLight.hollight.int_le"
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    95  | 
  "int_gt" > "HOLLight.hollight.int_gt"
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    96  | 
  "int_ge" > "HOLLight.hollight.int_ge"
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    97  | 
  "int_add" > "HOLLight.hollight.int_add"
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    98  | 
  "int_abs" > "HOLLight.hollight.int_abs"
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    99  | 
  "hreal_of_num" > "HOLLight.hollight.hreal_of_num"
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   100  | 
  "hreal_mul" > "HOLLight.hollight.hreal_mul"
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   101  | 
  "hreal_le" > "HOLLight.hollight.hreal_le"
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   102  | 
  "hreal_inv" > "HOLLight.hollight.hreal_inv"
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   103  | 
  "hreal_add" > "HOLLight.hollight.hreal_add"
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   104  | 
  "fstcart" > "HOLLight.hollight.fstcart"
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   105  | 
  "finite_index" > "HOLLight.hollight.finite_index"
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   106  | 
  "eqeq" > "HOLLight.hollight.eqeq"
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   107  | 
  "dotdot" > "HOLLight.hollight.dotdot"
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   108  | 
  "dist" > "HOLLight.hollight.dist"
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   109  | 
  "dimindex" > "HOLLight.hollight.dimindex"
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   110  | 
  "admissible" > "HOLLight.hollight.admissible"
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   111  | 
  "_FALSITY_" > "HOLLight.hollight._FALSITY_"
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19093
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   112  | 
  "_10328" > "HOLLight.hollight._10328"
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   113  | 
  "_10327" > "HOLLight.hollight._10327"
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   114  | 
  "_10326" > "HOLLight.hollight._10326"
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   115  | 
  "_10303" > "HOLLight.hollight._10303"
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   116  | 
  "_10302" > "HOLLight.hollight._10302"
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17644
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   117  | 
  "_0" > "0" :: "nat"
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   118  | 
  "\\/" > "op |"
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   119  | 
  "ZRECSPACE" > "HOLLight.hollight.ZRECSPACE"
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   120  | 
  "ZIP" > "HOLLight.hollight.ZIP"
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   121  | 
  "ZCONSTR" > "HOLLight.hollight.ZCONSTR"
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   122  | 
  "ZBOT" > "HOLLight.hollight.ZBOT"
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   123  | 
  "WF" > "HOLLight.hollight.WF"
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   124  | 
  "UNIV" > "HOLLight.hollight.UNIV"
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   125  | 
  "UNIONS" > "HOLLight.hollight.UNIONS"
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   126  | 
  "UNION" > "HOLLight.hollight.UNION"
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   127  | 
  "UNCURRY" > "HOLLight.hollight.UNCURRY"
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   128  | 
  "TL" > "HOLLight.hollight.TL"
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   129  | 
  "T" > "True"
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   130  | 
  "SURJ" > "HOLLight.hollight.SURJ"
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   131  | 
  "SUC" > "Suc"
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   132  | 
  "SUBSET" > "HOLLight.hollight.SUBSET"
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   133  | 
  "SOME" > "HOLLight.hollight.SOME"
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   134  | 
  "SND" > "snd"
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   135  | 
  "SING" > "HOLLight.hollight.SING"
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   136  | 
  "SETSPEC" > "HOLLight.hollight.SETSPEC"
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   137  | 
  "REVERSE" > "HOLLight.hollight.REVERSE"
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   138  | 
  "REST" > "HOLLight.hollight.REST"
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   139  | 
  "REP_prod" > "Rep_Prod"
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   140  | 
  "REPLICATE" > "HOLLight.hollight.REPLICATE"
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   141  | 
  "PSUBSET" > "HOLLight.hollight.PSUBSET"
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   142  | 
  "PRE" > "HOLLightCompat.Pred"
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   143  | 
  "PASSOC" > "HOLLight.hollight.PASSOC"
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   144  | 
  "PAIRWISE" > "HOLLight.hollight.PAIRWISE"
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   145  | 
  "OUTR" > "HOLLight.hollight.OUTR"
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   146  | 
  "OUTL" > "HOLLight.hollight.OUTL"
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   147  | 
  "ONTO" > "Fun.surj"
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   148  | 
  "ONE_ONE" > "HOL4Setup.ONE_ONE"
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   149  | 
  "ODD" > "HOLLight.hollight.ODD"
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   150  | 
  "NUMSUM" > "HOLLight.hollight.NUMSUM"
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   151  | 
  "NUMSND" > "HOLLight.hollight.NUMSND"
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   152  | 
  "NUMRIGHT" > "HOLLight.hollight.NUMRIGHT"
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   153  | 
  "NUMPAIR" > "HOLLight.hollight.NUMPAIR"
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   154  | 
  "NUMLEFT" > "HOLLight.hollight.NUMLEFT"
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   155  | 
  "NUMFST" > "HOLLight.hollight.NUMFST"
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   156  | 
  "NUMERAL" > "HOL4Compat.NUMERAL"
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   157  | 
  "NULL" > "HOLLight.hollight.NULL"
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   158  | 
  "NONE" > "HOLLight.hollight.NONE"
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   159  | 
  "NIL" > "HOLLight.hollight.NIL"
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   160  | 
  "MOD" > "HOLLight.hollight.MOD"
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   161  | 
  "MEM" > "HOLLight.hollight.MEM"
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   162  | 
  "MAP2" > "HOLLight.hollight.MAP2"
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   163  | 
  "MAP" > "HOLLight.hollight.MAP"
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   164  | 
  "LET_END" > "HOLLight.hollight.LET_END"
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   165  | 
  "LET" > "HOL4Compat.LET"
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   166  | 
  "LENGTH" > "HOLLight.hollight.LENGTH"
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   167  | 
  "LAST" > "HOLLight.hollight.LAST"
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   168  | 
  "ITSET" > "HOLLight.hollight.ITSET"
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   169  | 
  "ITLIST2" > "HOLLight.hollight.ITLIST2"
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   170  | 
  "ITLIST" > "HOLLight.hollight.ITLIST"
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   171  | 
  "ISO" > "HOLLight.hollight.ISO"
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   172  | 
  "INTERS" > "HOLLight.hollight.INTERS"
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   173  | 
  "INTER" > "HOLLight.hollight.INTER"
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   174  | 
  "INSERT" > "HOLLight.hollight.INSERT"
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19093
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   175  | 
  "INR" > "Sum_Type.Inr"
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   176  | 
  "INL" > "Sum_Type.Inl"
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17644
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   177  | 
  "INJP" > "HOLLight.hollight.INJP"
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   178  | 
  "INJN" > "HOLLight.hollight.INJN"
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   179  | 
  "INJF" > "HOLLight.hollight.INJF"
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   180  | 
  "INJA" > "HOLLight.hollight.INJA"
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   181  | 
  "INJ" > "HOLLight.hollight.INJ"
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   182  | 
  "INFINITE" > "HOLLight.hollight.INFINITE"
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   183  | 
  "IN" > "HOLLight.hollight.IN"
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   184  | 
  "IMAGE" > "HOLLight.hollight.IMAGE"
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   185  | 
  "I" > "Fun.id"
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   186  | 
  "HD" > "HOLLight.hollight.HD"
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   187  | 
  "HAS_SIZE" > "HOLLight.hollight.HAS_SIZE"
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   188  | 
  "GSPEC" > "HOLLight.hollight.GSPEC"
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   189  | 
  "GEQ" > "HOLLight.hollight.GEQ"
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   190  | 
  "GABS" > "HOLLight.hollight.GABS"
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   191  | 
  "FST" > "fst"
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   192  | 
  "FNIL" > "HOLLight.hollight.FNIL"
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   193  | 
  "FINREC" > "HOLLight.hollight.FINREC"
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   194  | 
  "FINITE" > "HOLLight.hollight.FINITE"
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   195  | 
  "FILTER" > "HOLLight.hollight.FILTER"
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   196  | 
  "FCONS" > "HOLLight.hollight.FCONS"
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   197  | 
  "FACT" > "HOLLight.hollight.FACT"
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   198  | 
  "F" > "False"
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   199  | 
  "EXP" > "HOLLight.hollight.EXP"
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   200  | 
  "EX" > "HOLLight.hollight.EX"
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   201  | 
  "EVEN" > "HOLLight.hollight.EVEN"
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   202  | 
  "EMPTY" > "HOLLight.hollight.EMPTY"
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   203  | 
  "EL" > "HOLLight.hollight.EL"
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   204  | 
  "DIV" > "HOLLight.hollight.DIV"
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   205  | 
  "DISJOINT" > "HOLLight.hollight.DISJOINT"
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   206  | 
  "DIFF" > "HOLLight.hollight.DIFF"
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   207  | 
  "DELETE" > "HOLLight.hollight.DELETE"
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   208  | 
  "DECIMAL" > "HOLLight.hollight.DECIMAL"
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   209  | 
  "CURRY" > "HOLLight.hollight.CURRY"
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   210  | 
  "COUNTABLE" > "HOLLight.hollight.COUNTABLE"
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   211  | 
  "CONSTR" > "HOLLight.hollight.CONSTR"
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   212  | 
  "CONS" > "HOLLight.hollight.CONS"
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   213  | 
  "COND" > "HOLLight.hollight.COND"
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   214  | 
  "CHOICE" > "HOLLight.hollight.CHOICE"
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   215  | 
  "CASEWISE" > "HOLLight.hollight.CASEWISE"
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   216  | 
  "CARD_LT" > "HOLLight.hollight.CARD_LT"
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   217  | 
  "CARD_LE" > "HOLLight.hollight.CARD_LE"
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   218  | 
  "CARD_GT" > "HOLLight.hollight.CARD_GT"
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   219  | 
  "CARD_GE" > "HOLLight.hollight.CARD_GE"
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   220  | 
  "CARD_EQ" > "HOLLight.hollight.CARD_EQ"
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   221  | 
  "CARD" > "HOLLight.hollight.CARD"
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   222  | 
  "BOTTOM" > "HOLLight.hollight.BOTTOM"
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   223  | 
  "BIT1" > "HOL4Compat.NUMERAL_BIT1"
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   224  | 
  "BIT0" > "HOLLightCompat.NUMERAL_BIT0"
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   225  | 
  "BIJ" > "HOLLight.hollight.BIJ"
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   226  | 
  "ASSOC" > "HOLLight.hollight.ASSOC"
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   227  | 
  "APPEND" > "HOLLight.hollight.APPEND"
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   228  | 
  "ALL_list" > "HOLLight.hollight.ALL_list"
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   229  | 
  "ALL2" > "HOLLight.hollight.ALL2"
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| 
 | 
   230  | 
  "ABS_prod" > "Abs_Prod"
  | 
| 
 | 
   231  | 
  "@" > "Hilbert_Choice.Eps"
  | 
| 
 | 
   232  | 
  "?!" > "Ex1"
  | 
| 
 | 
   233  | 
  "?" > "Ex"
  | 
| 
 | 
   234  | 
  ">=" > "HOLLight.hollight.>="
  | 
| 
 | 
   235  | 
  ">" > "HOLLight.hollight.>"
  | 
| 
 | 
   236  | 
  "==>" > "op -->"
  | 
| 
 | 
   237  | 
  "=" > "op ="
  | 
| 
 | 
   238  | 
  "<=" > "HOLLight.hollight.<="
  | 
| 
 | 
   239  | 
  "<" > "HOLLight.hollight.<"
  | 
| 
 | 
   240  | 
  "/\\" > "op &"
  | 
| 
22997
 | 
   241  | 
  "-" > "HOL.minus_class.minus" :: "nat => nat => nat"
  | 
| 
17644
 | 
   242  | 
  "," > "Pair"
  | 
| 
22997
 | 
   243  | 
  "+" > "HOL.plus_class.plus" :: "nat => nat => nat"
  | 
| 
 | 
   244  | 
  "*" > "HOL.times_class.times" :: "nat => nat => nat"
  | 
| 
17644
 | 
   245  | 
  "$" > "HOLLight.hollight.$"
  | 
| 
 | 
   246  | 
  "!" > "All"
  | 
| 
 | 
   247  | 
  | 
| 
 | 
   248  | 
const_renames
  | 
| 
 | 
   249  | 
  "ALL" > "ALL_list"
  | 
| 
 | 
   250  | 
  "==" > "eqeq"
  | 
| 
 | 
   251  | 
  ".." > "dotdot"
  | 
| 
 | 
   252  | 
  | 
| 
 | 
   253  | 
thm_maps
  | 
| 
 | 
   254  | 
  "two_2_def" > "HOLLight.hollight.two_2_def"
  | 
| 
 | 
   255  | 
  "two_1_def" > "HOLLight.hollight.two_1_def"
  | 
| 
 | 
   256  | 
  "treal_of_num_def" > "HOLLight.hollight.treal_of_num_def"
  | 
| 
 | 
   257  | 
  "treal_neg_def" > "HOLLight.hollight.treal_neg_def"
  | 
| 
 | 
   258  | 
  "treal_mul_def" > "HOLLight.hollight.treal_mul_def"
  | 
| 
 | 
   259  | 
  "treal_le_def" > "HOLLight.hollight.treal_le_def"
  | 
| 
 | 
   260  | 
  "treal_inv_def" > "HOLLight.hollight.treal_inv_def"
  | 
| 
 | 
   261  | 
  "treal_eq_def" > "HOLLight.hollight.treal_eq_def"
  | 
| 
 | 
   262  | 
  "treal_add_def" > "HOLLight.hollight.treal_add_def"
  | 
| 
 | 
   263  | 
  "three_3_def" > "HOLLight.hollight.three_3_def"
  | 
| 
 | 
   264  | 
  "three_2_def" > "HOLLight.hollight.three_2_def"
  | 
| 
 | 
   265  | 
  "three_1_def" > "HOLLight.hollight.three_1_def"
  | 
| 
 | 
   266  | 
  "th_cond" > "HOLLight.hollight.th_cond"
  | 
| 
19093
 | 
   267  | 
  "th" > "Fun.id_apply"
  | 
| 
17644
 | 
   268  | 
  "tailadmissible_def" > "HOLLight.hollight.tailadmissible_def"
  | 
| 
 | 
   269  | 
  "support_def" > "HOLLight.hollight.support_def"
  | 
| 
 | 
   270  | 
  "superadmissible_def" > "HOLLight.hollight.superadmissible_def"
  | 
| 
 | 
   271  | 
  "sum_def" > "HOLLight.hollight.sum_def"
  | 
| 
19093
 | 
   272  | 
  "sum_RECURSION" > "HOLLightCompat.sum_Recursion"
  | 
| 
 | 
   273  | 
  "sum_INDUCT" > "HOLLightCompat.sumlift.induct"
  | 
| 
17644
 | 
   274  | 
  "sth" > "HOLLight.hollight.sth"
  | 
| 
 | 
   275  | 
  "sndcart_def" > "HOLLight.hollight.sndcart_def"
  | 
| 
 | 
   276  | 
  "set_of_list_def" > "HOLLight.hollight.set_of_list_def"
  | 
| 
 | 
   277  | 
  "right_th" > "HOLLight.hollight.right_th"
  | 
| 
 | 
   278  | 
  "real_sub_def" > "HOLLight.hollight.real_sub_def"
  | 
| 
 | 
   279  | 
  "real_pow_def" > "HOLLight.hollight.real_pow_def"
  | 
| 
 | 
   280  | 
  "real_of_num_def" > "HOLLight.hollight.real_of_num_def"
  | 
| 
 | 
   281  | 
  "real_neg_def" > "HOLLight.hollight.real_neg_def"
  | 
| 
 | 
   282  | 
  "real_mul_def" > "HOLLight.hollight.real_mul_def"
  | 
| 
 | 
   283  | 
  "real_min_def" > "HOLLight.hollight.real_min_def"
  | 
| 
 | 
   284  | 
  "real_max_def" > "HOLLight.hollight.real_max_def"
  | 
| 
 | 
   285  | 
  "real_lt_def" > "HOLLight.hollight.real_lt_def"
  | 
| 
 | 
   286  | 
  "real_le_def" > "HOLLight.hollight.real_le_def"
  | 
| 
 | 
   287  | 
  "real_inv_def" > "HOLLight.hollight.real_inv_def"
  | 
| 
 | 
   288  | 
  "real_gt_def" > "HOLLight.hollight.real_gt_def"
  | 
| 
 | 
   289  | 
  "real_ge_def" > "HOLLight.hollight.real_ge_def"
  | 
| 
 | 
   290  | 
  "real_div_def" > "HOLLight.hollight.real_div_def"
  | 
| 
 | 
   291  | 
  "real_add_def" > "HOLLight.hollight.real_add_def"
  | 
| 
 | 
   292  | 
  "real_abs_def" > "HOLLight.hollight.real_abs_def"
  | 
| 
 | 
   293  | 
  "pastecart_def" > "HOLLight.hollight.pastecart_def"
  | 
| 
 | 
   294  | 
  "pairwise_def" > "HOLLight.hollight.pairwise_def"
  | 
| 
 | 
   295  | 
  "pair_RECURSION" > "HOLLight.hollight.pair_RECURSION"
  | 
| 
19093
 | 
   296  | 
  "pair_INDUCT" > "Datatype.prod.inducts"
  | 
| 
17644
 | 
   297  | 
  "one_axiom" > "HOLLight.hollight.one_axiom"
  | 
| 
 | 
   298  | 
  "one_RECURSION" > "HOLLight.hollight.one_RECURSION"
  | 
| 
19093
 | 
   299  | 
  "one_INDUCT" > "Datatype.unit.inducts"
  | 
| 
17644
 | 
   300  | 
  "one_Axiom" > "HOLLight.hollight.one_Axiom"
  | 
| 
 | 
   301  | 
  "one" > "HOL4Compat.one"
  | 
| 
 | 
   302  | 
  "o_THM" > "Fun.o_apply"
  | 
| 
 | 
   303  | 
  "o_ASSOC" > "HOLLight.hollight.o_ASSOC"
  | 
| 
 | 
   304  | 
  "num_WOP" > "HOLLight.hollight.num_WOP"
  | 
| 
 | 
   305  | 
  "num_WF" > "HOLLight.hollight.num_WF"
  | 
| 
 | 
   306  | 
  "num_RECURSION_STD" > "HOLLight.hollight.num_RECURSION_STD"
  | 
| 
 | 
   307  | 
  "num_MAX" > "HOLLight.hollight.num_MAX"
  | 
| 
 | 
   308  | 
  "num_INFINITE" > "HOLLight.hollight.num_INFINITE"
  | 
| 
 | 
   309  | 
  "num_INDUCTION" > "List.lexn.induct"
  | 
| 
 | 
   310  | 
  "num_FINITE_AVOID" > "HOLLight.hollight.num_FINITE_AVOID"
  | 
| 
 | 
   311  | 
  "num_FINITE" > "HOLLight.hollight.num_FINITE"
  | 
| 
 | 
   312  | 
  "num_CASES" > "Nat.nat.nchotomy"
  | 
| 
 | 
   313  | 
  "num_Axiom" > "HOLLight.hollight.num_Axiom"
  | 
| 
 | 
   314  | 
  "nsum_def" > "HOLLight.hollight.nsum_def"
  | 
| 
 | 
   315  | 
  "neutral_def" > "HOLLight.hollight.neutral_def"
  | 
| 
 | 
   316  | 
  "nadd_rinv_def" > "HOLLight.hollight.nadd_rinv_def"
  | 
| 
 | 
   317  | 
  "nadd_of_num_def" > "HOLLight.hollight.nadd_of_num_def"
  | 
| 
 | 
   318  | 
  "nadd_mul_def" > "HOLLight.hollight.nadd_mul_def"
  | 
| 
 | 
   319  | 
  "nadd_le_def" > "HOLLight.hollight.nadd_le_def"
  | 
| 
 | 
   320  | 
  "nadd_inv_def" > "HOLLight.hollight.nadd_inv_def"
  | 
| 
 | 
   321  | 
  "nadd_eq_def" > "HOLLight.hollight.nadd_eq_def"
  | 
| 
 | 
   322  | 
  "nadd_add_def" > "HOLLight.hollight.nadd_add_def"
  | 
| 
 | 
   323  | 
  "monoidal_def" > "HOLLight.hollight.monoidal_def"
  | 
| 
 | 
   324  | 
  "mod_real_def" > "HOLLight.hollight.mod_real_def"
  | 
| 
 | 
   325  | 
  "mod_nat_def" > "HOLLight.hollight.mod_nat_def"
  | 
| 
 | 
   326  | 
  "mod_int_def" > "HOLLight.hollight.mod_int_def"
  | 
| 
 | 
   327  | 
  "minimal_def" > "HOLLight.hollight.minimal_def"
  | 
| 
 | 
   328  | 
  "measure_def" > "HOLLight.hollight.measure_def"
  | 
| 
 | 
   329  | 
  "list_of_set_def" > "HOLLight.hollight.list_of_set_def"
  | 
| 
 | 
   330  | 
  "list_INDUCT" > "HOLLight.hollight.list_INDUCT"
  | 
| 
 | 
   331  | 
  "list_CASES" > "HOLLight.hollight.list_CASES"
  | 
| 
 | 
   332  | 
  "lambda_def" > "HOLLight.hollight.lambda_def"
  | 
| 
 | 
   333  | 
  "iterate_def" > "HOLLight.hollight.iterate_def"
  | 
| 
 | 
   334  | 
  "is_nadd_def" > "HOLLight.hollight.is_nadd_def"
  | 
| 
 | 
   335  | 
  "is_nadd_0" > "HOLLight.hollight.is_nadd_0"
  | 
| 
 | 
   336  | 
  "is_int_def" > "HOLLight.hollight.is_int_def"
  | 
| 
 | 
   337  | 
  "int_sub_th" > "HOLLight.hollight.int_sub_th"
  | 
| 
 | 
   338  | 
  "int_sub_def" > "HOLLight.hollight.int_sub_def"
  | 
| 
 | 
   339  | 
  "int_pow_th" > "HOLLight.hollight.int_pow_th"
  | 
| 
 | 
   340  | 
  "int_pow_def" > "HOLLight.hollight.int_pow_def"
  | 
| 
 | 
   341  | 
  "int_of_num_th" > "HOLLight.hollight.int_of_num_th"
  | 
| 
 | 
   342  | 
  "int_of_num_def" > "HOLLight.hollight.int_of_num_def"
  | 
| 
 | 
   343  | 
  "int_neg_th" > "HOLLight.hollight.int_neg_th"
  | 
| 
 | 
   344  | 
  "int_neg_def" > "HOLLight.hollight.int_neg_def"
  | 
| 
 | 
   345  | 
  "int_mul_th" > "HOLLight.hollight.int_mul_th"
  | 
| 
 | 
   346  | 
  "int_mul_def" > "HOLLight.hollight.int_mul_def"
  | 
| 
 | 
   347  | 
  "int_min_th" > "HOLLight.hollight.int_min_th"
  | 
| 
 | 
   348  | 
  "int_min_def" > "HOLLight.hollight.int_min_def"
  | 
| 
 | 
   349  | 
  "int_max_th" > "HOLLight.hollight.int_max_th"
  | 
| 
 | 
   350  | 
  "int_max_def" > "HOLLight.hollight.int_max_def"
  | 
| 
 | 
   351  | 
  "int_lt_def" > "HOLLight.hollight.int_lt_def"
  | 
| 
 | 
   352  | 
  "int_le_def" > "HOLLight.hollight.int_le_def"
  | 
| 
 | 
   353  | 
  "int_gt_def" > "HOLLight.hollight.int_gt_def"
  | 
| 
 | 
   354  | 
  "int_ge_def" > "HOLLight.hollight.int_ge_def"
  | 
| 
 | 
   355  | 
  "int_eq" > "HOLLight.hollight.int.dest_int_inject"
  | 
| 
 | 
   356  | 
  "int_add_th" > "HOLLight.hollight.int_add_th"
  | 
| 
 | 
   357  | 
  "int_add_def" > "HOLLight.hollight.int_add_def"
  | 
| 
 | 
   358  | 
  "int_abs_th" > "HOLLight.hollight.int_abs_th"
  | 
| 
 | 
   359  | 
  "int_abs_def" > "HOLLight.hollight.int_abs_def"
  | 
| 
 | 
   360  | 
  "hreal_of_num_def" > "HOLLight.hollight.hreal_of_num_def"
  | 
| 
 | 
   361  | 
  "hreal_mul_def" > "HOLLight.hollight.hreal_mul_def"
  | 
| 
 | 
   362  | 
  "hreal_le_def" > "HOLLight.hollight.hreal_le_def"
  | 
| 
 | 
   363  | 
  "hreal_inv_def" > "HOLLight.hollight.hreal_inv_def"
  | 
| 
 | 
   364  | 
  "hreal_add_def" > "HOLLight.hollight.hreal_add_def"
  | 
| 
 | 
   365  | 
  "fstcart_def" > "HOLLight.hollight.fstcart_def"
  | 
| 
 | 
   366  | 
  "finite_index_def" > "HOLLight.hollight.finite_index_def"
  | 
| 
 | 
   367  | 
  "eqeq_def" > "HOLLight.hollight.eqeq_def"
  | 
| 
 | 
   368  | 
  "dotdot_def" > "HOLLight.hollight.dotdot_def"
  | 
| 
 | 
   369  | 
  "dist_def" > "HOLLight.hollight.dist_def"
  | 
| 
 | 
   370  | 
  "dimindex_def" > "HOLLight.hollight.dimindex_def"
  | 
| 
 | 
   371  | 
  "dest_int_rep" > "HOLLight.hollight.dest_int_rep"
  | 
| 
 | 
   372  | 
  "cth" > "HOLLight.hollight.cth"
  | 
| 
19093
 | 
   373  | 
  "bool_RECURSION" > "HOLLight.hollight.bool_RECURSION"
  | 
| 
17644
 | 
   374  | 
  "ax__3" > "HOL4Setup.INFINITY_AX"
  | 
| 
 | 
   375  | 
  "ax__2" > "Hilbert_Choice.tfl_some"
  | 
| 
 | 
   376  | 
  "ax__1" > "Presburger.fm_modd_pinf"
  | 
| 
 | 
   377  | 
  "admissible_def" > "HOLLight.hollight.admissible_def"
  | 
| 
 | 
   378  | 
  "_FALSITY__def" > "HOLLight.hollight._FALSITY__def"
  | 
| 
19093
 | 
   379  | 
  "_10328_def" > "HOLLight.hollight._10328_def"
  | 
| 
 | 
   380  | 
  "_10327_def" > "HOLLight.hollight._10327_def"
  | 
| 
 | 
   381  | 
  "_10326_def" > "HOLLight.hollight._10326_def"
  | 
| 
 | 
   382  | 
  "_10303_def" > "HOLLight.hollight._10303_def"
  | 
| 
 | 
   383  | 
  "_10302_def" > "HOLLight.hollight._10302_def"
  | 
| 
17644
 | 
   384  | 
  "ZRECSPACE_def" > "HOLLight.hollight.ZRECSPACE_def"
  | 
| 
 | 
   385  | 
  "ZIP_def" > "HOLLight.hollight.ZIP_def"
  | 
| 
 | 
   386  | 
  "ZIP" > "HOLLight.hollight.ZIP"
  | 
| 
 | 
   387  | 
  "ZCONSTR_def" > "HOLLight.hollight.ZCONSTR_def"
  | 
| 
 | 
   388  | 
  "ZCONSTR_ZBOT" > "HOLLight.hollight.ZCONSTR_ZBOT"
  | 
| 
 | 
   389  | 
  "ZBOT_def" > "HOLLight.hollight.ZBOT_def"
  | 
| 
 | 
   390  | 
  "WLOG_LT" > "HOLLight.hollight.WLOG_LT"
  | 
| 
 | 
   391  | 
  "WLOG_LE" > "HOLLight.hollight.WLOG_LE"
  | 
| 
 | 
   392  | 
  "WF_num" > "HOLLight.hollight.WF_num"
  | 
| 
 | 
   393  | 
  "WF_def" > "HOLLight.hollight.WF_def"
  | 
| 
 | 
   394  | 
  "WF_UREC_WF" > "HOLLight.hollight.WF_UREC_WF"
  | 
| 
 | 
   395  | 
  "WF_UREC" > "HOLLight.hollight.WF_UREC"
  | 
| 
 | 
   396  | 
  "WF_SUBSET" > "HOLLight.hollight.WF_SUBSET"
  | 
| 
 | 
   397  | 
  "WF_REFL" > "HOLLight.hollight.WF_REFL"
  | 
| 
 | 
   398  | 
  "WF_REC_num" > "HOLLight.hollight.WF_REC_num"
  | 
| 
 | 
   399  | 
  "WF_REC_WF" > "HOLLight.hollight.WF_REC_WF"
  | 
| 
 | 
   400  | 
  "WF_REC_TAIL_GENERAL" > "HOLLight.hollight.WF_REC_TAIL_GENERAL"
  | 
| 
 | 
   401  | 
  "WF_REC_TAIL" > "HOLLight.hollight.WF_REC_TAIL"
  | 
| 
 | 
   402  | 
  "WF_REC_INVARIANT" > "HOLLight.hollight.WF_REC_INVARIANT"
  | 
| 
 | 
   403  | 
  "WF_REC_CASES" > "HOLLight.hollight.WF_REC_CASES"
  | 
| 
 | 
   404  | 
  "WF_REC" > "HOLLight.hollight.WF_REC"
  | 
| 
 | 
   405  | 
  "WF_POINTWISE" > "HOLLight.hollight.WF_POINTWISE"
  | 
| 
 | 
   406  | 
  "WF_MEASURE_GEN" > "HOLLight.hollight.WF_MEASURE_GEN"
  | 
| 
 | 
   407  | 
  "WF_MEASURE" > "HOLLight.hollight.WF_MEASURE"
  | 
| 
 | 
   408  | 
  "WF_LEX_DEPENDENT" > "HOLLight.hollight.WF_LEX_DEPENDENT"
  | 
| 
 | 
   409  | 
  "WF_LEX" > "HOLLight.hollight.WF_LEX"
  | 
| 
 | 
   410  | 
  "WF_IND" > "HOLLight.hollight.WF_IND"
  | 
| 
 | 
   411  | 
  "WF_FALSE" > "HOLLight.hollight.WF_FALSE"
  | 
| 
 | 
   412  | 
  "WF_EREC" > "HOLLight.hollight.WF_EREC"
  | 
| 
 | 
   413  | 
  "WF_EQ" > "HOLLight.hollight.WF_EQ"
  | 
| 
 | 
   414  | 
  "WF_DCHAIN" > "HOLLight.hollight.WF_DCHAIN"
  | 
| 
 | 
   415  | 
  "UNWIND_THM2" > "HOL.simp_thms_39"
  | 
| 
 | 
   416  | 
  "UNWIND_THM1" > "HOL.simp_thms_40"
  | 
| 
 | 
   417  | 
  "UNIV_def" > "HOLLight.hollight.UNIV_def"
  | 
| 
 | 
   418  | 
  "UNIV_SUBSET" > "HOLLight.hollight.UNIV_SUBSET"
  | 
| 
 | 
   419  | 
  "UNIV_NOT_EMPTY" > "HOLLight.hollight.UNIV_NOT_EMPTY"
  | 
| 
 | 
   420  | 
  "UNIQUE_SKOLEM_THM" > "HOL.choice_eq"
  | 
| 
 | 
   421  | 
  "UNIQUE_SKOLEM_ALT" > "HOLLight.hollight.UNIQUE_SKOLEM_ALT"
  | 
| 
 | 
   422  | 
  "UNION_def" > "HOLLight.hollight.UNION_def"
  | 
| 
 | 
   423  | 
  "UNION_UNIV" > "HOLLight.hollight.UNION_UNIV"
  | 
| 
 | 
   424  | 
  "UNION_SUBSET" > "HOLLight.hollight.UNION_SUBSET"
  | 
| 
 | 
   425  | 
  "UNION_OVER_INTER" > "HOLLight.hollight.UNION_OVER_INTER"
  | 
| 
 | 
   426  | 
  "UNION_IDEMPOT" > "HOLLight.hollight.UNION_IDEMPOT"
  | 
| 
 | 
   427  | 
  "UNION_EMPTY" > "HOLLight.hollight.UNION_EMPTY"
  | 
| 
 | 
   428  | 
  "UNION_COMM" > "HOLLight.hollight.UNION_COMM"
  | 
| 
 | 
   429  | 
  "UNION_ASSOC" > "HOLLight.hollight.UNION_ASSOC"
  | 
| 
 | 
   430  | 
  "UNION_ACI" > "HOLLight.hollight.UNION_ACI"
  | 
| 
 | 
   431  | 
  "UNIONS_def" > "HOLLight.hollight.UNIONS_def"
  | 
| 
 | 
   432  | 
  "UNIONS_INSERT" > "HOLLight.hollight.UNIONS_INSERT"
  | 
| 
 | 
   433  | 
  "UNIONS_2" > "HOLLight.hollight.UNIONS_2"
  | 
| 
 | 
   434  | 
  "UNIONS_1" > "HOLLight.hollight.UNIONS_1"
  | 
| 
 | 
   435  | 
  "UNIONS_0" > "HOLLight.hollight.UNIONS_0"
  | 
| 
 | 
   436  | 
  "UNCURRY_def" > "HOLLight.hollight.UNCURRY_def"
  | 
| 
 | 
   437  | 
  "TYDEF_recspace" > "HOLLight.hollight.TYDEF_recspace"
  | 
| 
 | 
   438  | 
  "TYDEF_real" > "HOLLight.hollight.TYDEF_real"
  | 
| 
 | 
   439  | 
  "TYDEF_option" > "HOLLight.hollight.TYDEF_option"
  | 
| 
 | 
   440  | 
  "TYDEF_nadd" > "HOLLight.hollight.TYDEF_nadd"
  | 
| 
 | 
   441  | 
  "TYDEF_list" > "HOLLight.hollight.TYDEF_list"
  | 
| 
 | 
   442  | 
  "TYDEF_int" > "HOLLight.hollight.TYDEF_int"
  | 
| 
 | 
   443  | 
  "TYDEF_hreal" > "HOLLight.hollight.TYDEF_hreal"
  | 
| 
 | 
   444  | 
  "TYDEF_finite_sum" > "HOLLight.hollight.TYDEF_finite_sum"
  | 
| 
 | 
   445  | 
  "TYDEF_finite_image" > "HOLLight.hollight.TYDEF_finite_image"
  | 
| 
 | 
   446  | 
  "TYDEF_cart" > "HOLLight.hollight.TYDEF_cart"
  | 
| 
 | 
   447  | 
  "TYDEF_3" > "HOLLight.hollight.TYDEF_3"
  | 
| 
 | 
   448  | 
  "TYDEF_2" > "HOLLight.hollight.TYDEF_2"
  | 
| 
 | 
   449  | 
  "TWO" > "HOLLight.hollight.TWO"
  | 
| 
 | 
   450  | 
  "TRIV_OR_FORALL_THM" > "HOLLight.hollight.TRIV_OR_FORALL_THM"
  | 
| 
 | 
   451  | 
  "TRIV_FORALL_OR_THM" > "HOLLight.hollight.TRIV_FORALL_OR_THM"
  | 
| 
 | 
   452  | 
  "TRIV_FORALL_IMP_THM" > "HOLLight.hollight.TRIV_FORALL_IMP_THM"
  | 
| 
 | 
   453  | 
  "TRIV_EXISTS_IMP_THM" > "HOLLight.hollight.TRIV_EXISTS_IMP_THM"
  | 
| 
 | 
   454  | 
  "TRIV_EXISTS_AND_THM" > "HOLLight.hollight.TRIV_EXISTS_AND_THM"
  | 
| 
 | 
   455  | 
  "TRIV_AND_EXISTS_THM" > "HOLLight.hollight.TRIV_AND_EXISTS_THM"
  | 
| 
 | 
   456  | 
  "TREAL_OF_NUM_WELLDEF" > "HOLLight.hollight.TREAL_OF_NUM_WELLDEF"
  | 
| 
 | 
   457  | 
  "TREAL_OF_NUM_MUL" > "HOLLight.hollight.TREAL_OF_NUM_MUL"
  | 
| 
 | 
   458  | 
  "TREAL_OF_NUM_LE" > "HOLLight.hollight.TREAL_OF_NUM_LE"
  | 
| 
 | 
   459  | 
  "TREAL_OF_NUM_EQ" > "HOLLight.hollight.TREAL_OF_NUM_EQ"
  | 
| 
 | 
   460  | 
  "TREAL_OF_NUM_ADD" > "HOLLight.hollight.TREAL_OF_NUM_ADD"
  | 
| 
 | 
   461  | 
  "TREAL_NEG_WELLDEF" > "HOLLight.hollight.TREAL_NEG_WELLDEF"
  | 
| 
 | 
   462  | 
  "TREAL_MUL_WELLDEFR" > "HOLLight.hollight.TREAL_MUL_WELLDEFR"
  | 
| 
 | 
   463  | 
  "TREAL_MUL_WELLDEF" > "HOLLight.hollight.TREAL_MUL_WELLDEF"
  | 
| 
 | 
   464  | 
  "TREAL_MUL_SYM_EQ" > "HOLLight.hollight.TREAL_MUL_SYM_EQ"
  | 
| 
 | 
   465  | 
  "TREAL_MUL_SYM" > "HOLLight.hollight.TREAL_MUL_SYM"
  | 
| 
 | 
   466  | 
  "TREAL_MUL_LINV" > "HOLLight.hollight.TREAL_MUL_LINV"
  | 
| 
 | 
   467  | 
  "TREAL_MUL_LID" > "HOLLight.hollight.TREAL_MUL_LID"
  | 
| 
 | 
   468  | 
  "TREAL_MUL_ASSOC" > "HOLLight.hollight.TREAL_MUL_ASSOC"
  | 
| 
 | 
   469  | 
  "TREAL_LE_WELLDEF" > "HOLLight.hollight.TREAL_LE_WELLDEF"
  | 
| 
 | 
   470  | 
  "TREAL_LE_TRANS" > "HOLLight.hollight.TREAL_LE_TRANS"
  | 
| 
 | 
   471  | 
  "TREAL_LE_TOTAL" > "HOLLight.hollight.TREAL_LE_TOTAL"
  | 
| 
 | 
   472  | 
  "TREAL_LE_REFL" > "HOLLight.hollight.TREAL_LE_REFL"
  | 
| 
 | 
   473  | 
  "TREAL_LE_MUL" > "HOLLight.hollight.TREAL_LE_MUL"
  | 
| 
 | 
   474  | 
  "TREAL_LE_LADD_IMP" > "HOLLight.hollight.TREAL_LE_LADD_IMP"
  | 
| 
 | 
   475  | 
  "TREAL_LE_ANTISYM" > "HOLLight.hollight.TREAL_LE_ANTISYM"
  | 
| 
 | 
   476  | 
  "TREAL_INV_WELLDEF" > "HOLLight.hollight.TREAL_INV_WELLDEF"
  | 
| 
 | 
   477  | 
  "TREAL_INV_0" > "HOLLight.hollight.TREAL_INV_0"
  | 
| 
 | 
   478  | 
  "TREAL_EQ_TRANS" > "HOLLight.hollight.TREAL_EQ_TRANS"
  | 
| 
 | 
   479  | 
  "TREAL_EQ_SYM" > "HOLLight.hollight.TREAL_EQ_SYM"
  | 
| 
 | 
   480  | 
  "TREAL_EQ_REFL" > "HOLLight.hollight.TREAL_EQ_REFL"
  | 
| 
 | 
   481  | 
  "TREAL_EQ_IMP_LE" > "HOLLight.hollight.TREAL_EQ_IMP_LE"
  | 
| 
 | 
   482  | 
  "TREAL_EQ_AP" > "HOLLight.hollight.TREAL_EQ_AP"
  | 
| 
 | 
   483  | 
  "TREAL_ADD_WELLDEFR" > "HOLLight.hollight.TREAL_ADD_WELLDEFR"
  | 
| 
 | 
   484  | 
  "TREAL_ADD_WELLDEF" > "HOLLight.hollight.TREAL_ADD_WELLDEF"
  | 
| 
 | 
   485  | 
  "TREAL_ADD_SYM_EQ" > "HOLLight.hollight.TREAL_ADD_SYM_EQ"
  | 
| 
 | 
   486  | 
  "TREAL_ADD_SYM" > "HOLLight.hollight.TREAL_ADD_SYM"
  | 
| 
 | 
   487  | 
  "TREAL_ADD_LINV" > "HOLLight.hollight.TREAL_ADD_LINV"
  | 
| 
 | 
   488  | 
  "TREAL_ADD_LID" > "HOLLight.hollight.TREAL_ADD_LID"
  | 
| 
 | 
   489  | 
  "TREAL_ADD_LDISTRIB" > "HOLLight.hollight.TREAL_ADD_LDISTRIB"
  | 
| 
 | 
   490  | 
  "TREAL_ADD_ASSOC" > "HOLLight.hollight.TREAL_ADD_ASSOC"
  | 
| 
 | 
   491  | 
  "TL_def" > "HOLLight.hollight.TL_def"
  | 
| 
 | 
   492  | 
  "TAIL_IMP_SUPERADMISSIBLE" > "HOLLight.hollight.TAIL_IMP_SUPERADMISSIBLE"
  | 
| 
 | 
   493  | 
  "SWAP_FORALL_THM" > "HOLLight.hollight.SWAP_FORALL_THM"
  | 
| 
 | 
   494  | 
  "SWAP_EXISTS_THM" > "HOLLight.hollight.SWAP_EXISTS_THM"
  | 
| 
 | 
   495  | 
  "SURJ_def" > "HOLLight.hollight.SURJ_def"
  | 
| 
 | 
   496  | 
  "SURJECTIVE_RIGHT_INVERSE" > "HOLLight.hollight.SURJECTIVE_RIGHT_INVERSE"
  | 
| 
 | 
   497  | 
  "SURJECTIVE_ON_RIGHT_INVERSE" > "HOLLight.hollight.SURJECTIVE_ON_RIGHT_INVERSE"
  | 
| 
 | 
   498  | 
  "SURJECTIVE_IFF_INJECTIVE_GEN" > "HOLLight.hollight.SURJECTIVE_IFF_INJECTIVE_GEN"
  | 
| 
 | 
   499  | 
  "SURJECTIVE_IFF_INJECTIVE" > "HOLLight.hollight.SURJECTIVE_IFF_INJECTIVE"
  | 
| 
 | 
   500  | 
  "SUPPORT_SUPPORT" > "HOLLight.hollight.SUPPORT_SUPPORT"
  | 
| 
 | 
   501  | 
  "SUPPORT_SUBSET" > "HOLLight.hollight.SUPPORT_SUBSET"
  | 
| 
 | 
   502  | 
  "SUPPORT_EMPTY" > "HOLLight.hollight.SUPPORT_EMPTY"
  | 
| 
 | 
   503  | 
  "SUPPORT_DELTA" > "HOLLight.hollight.SUPPORT_DELTA"
  | 
| 
 | 
   504  | 
  "SUPPORT_CLAUSES" > "HOLLight.hollight.SUPPORT_CLAUSES"
  | 
| 
 | 
   505  | 
  "SUPERADMISSIBLE_T" > "HOLLight.hollight.SUPERADMISSIBLE_T"
  | 
| 
 | 
   506  | 
  "SUPERADMISSIBLE_COND" > "HOLLight.hollight.SUPERADMISSIBLE_COND"
  | 
| 
 | 
   507  | 
  "SUM_UNION_RZERO" > "HOLLight.hollight.SUM_UNION_RZERO"
  | 
| 
 | 
   508  | 
  "SUM_UNION_LZERO" > "HOLLight.hollight.SUM_UNION_LZERO"
  | 
| 
 | 
   509  | 
  "SUM_UNION_EQ" > "HOLLight.hollight.SUM_UNION_EQ"
  | 
| 
 | 
   510  | 
  "SUM_UNION" > "HOLLight.hollight.SUM_UNION"
  | 
| 
 | 
   511  | 
  "SUM_TRIV_NUMSEG" > "HOLLight.hollight.SUM_TRIV_NUMSEG"
  | 
| 
 | 
   512  | 
  "SUM_SWAP_NUMSEG" > "HOLLight.hollight.SUM_SWAP_NUMSEG"
  | 
| 
 | 
   513  | 
  "SUM_SWAP" > "HOLLight.hollight.SUM_SWAP"
  | 
| 
 | 
   514  | 
  "SUM_SUPPORT" > "HOLLight.hollight.SUM_SUPPORT"
  | 
| 
 | 
   515  | 
  "SUM_SUPERSET" > "HOLLight.hollight.SUM_SUPERSET"
  | 
| 
 | 
   516  | 
  "SUM_SUM_RESTRICT" > "HOLLight.hollight.SUM_SUM_RESTRICT"
  | 
| 
19093
 | 
   517  | 
  "SUM_SUM_PRODUCT" > "HOLLight.hollight.SUM_SUM_PRODUCT"
  | 
| 
17644
 | 
   518  | 
  "SUM_SUB_NUMSEG" > "HOLLight.hollight.SUM_SUB_NUMSEG"
  | 
| 
 | 
   519  | 
  "SUM_SUBSET_SIMPLE" > "HOLLight.hollight.SUM_SUBSET_SIMPLE"
  | 
| 
 | 
   520  | 
  "SUM_SUBSET" > "HOLLight.hollight.SUM_SUBSET"
  | 
| 
 | 
   521  | 
  "SUM_SUB" > "HOLLight.hollight.SUM_SUB"
  | 
| 
 | 
   522  | 
  "SUM_SING_NUMSEG" > "HOLLight.hollight.SUM_SING_NUMSEG"
  | 
| 
 | 
   523  | 
  "SUM_SING" > "HOLLight.hollight.SUM_SING"
  | 
| 
 | 
   524  | 
  "SUM_RESTRICT_SET" > "HOLLight.hollight.SUM_RESTRICT_SET"
  | 
| 
 | 
   525  | 
  "SUM_RESTRICT" > "HOLLight.hollight.SUM_RESTRICT"
  | 
| 
 | 
   526  | 
  "SUM_POS_LE_NUMSEG" > "HOLLight.hollight.SUM_POS_LE_NUMSEG"
  | 
| 
 | 
   527  | 
  "SUM_POS_LE" > "HOLLight.hollight.SUM_POS_LE"
  | 
| 
 | 
   528  | 
  "SUM_POS_EQ_0_NUMSEG" > "HOLLight.hollight.SUM_POS_EQ_0_NUMSEG"
  | 
| 
 | 
   529  | 
  "SUM_POS_EQ_0" > "HOLLight.hollight.SUM_POS_EQ_0"
  | 
| 
 | 
   530  | 
  "SUM_POS_BOUND" > "HOLLight.hollight.SUM_POS_BOUND"
  | 
| 
 | 
   531  | 
  "SUM_OFFSET_0" > "HOLLight.hollight.SUM_OFFSET_0"
  | 
| 
 | 
   532  | 
  "SUM_OFFSET" > "HOLLight.hollight.SUM_OFFSET"
  | 
| 
 | 
   533  | 
  "SUM_NEG_NUMSEG" > "HOLLight.hollight.SUM_NEG_NUMSEG"
  | 
| 
 | 
   534  | 
  "SUM_NEG" > "HOLLight.hollight.SUM_NEG"
  | 
| 
 | 
   535  | 
  "SUM_MULTICOUNT_GEN" > "HOLLight.hollight.SUM_MULTICOUNT_GEN"
  | 
| 
 | 
   536  | 
  "SUM_MULTICOUNT" > "HOLLight.hollight.SUM_MULTICOUNT"
  | 
| 
 | 
   537  | 
  "SUM_LT_ALL" > "HOLLight.hollight.SUM_LT_ALL"
  | 
| 
 | 
   538  | 
  "SUM_LT" > "HOLLight.hollight.SUM_LT"
  | 
| 
 | 
   539  | 
  "SUM_LE_NUMSEG" > "HOLLight.hollight.SUM_LE_NUMSEG"
  | 
| 
 | 
   540  | 
  "SUM_LE" > "HOLLight.hollight.SUM_LE"
  | 
| 
 | 
   541  | 
  "SUM_IMAGE_GEN" > "HOLLight.hollight.SUM_IMAGE_GEN"
  | 
| 
 | 
   542  | 
  "SUM_IMAGE" > "HOLLight.hollight.SUM_IMAGE"
  | 
| 
 | 
   543  | 
  "SUM_EQ_SUPERSET" > "HOLLight.hollight.SUM_EQ_SUPERSET"
  | 
| 
 | 
   544  | 
  "SUM_EQ_NUMSEG" > "HOLLight.hollight.SUM_EQ_NUMSEG"
  | 
| 
19093
 | 
   545  | 
  "SUM_EQ_GENERAL" > "HOLLight.hollight.SUM_EQ_GENERAL"
  | 
| 
17644
 | 
   546  | 
  "SUM_EQ_0_NUMSEG" > "HOLLight.hollight.SUM_EQ_0_NUMSEG"
  | 
| 
 | 
   547  | 
  "SUM_EQ_0" > "HOLLight.hollight.SUM_EQ_0"
  | 
| 
 | 
   548  | 
  "SUM_EQ" > "HOLLight.hollight.SUM_EQ"
  | 
| 
 | 
   549  | 
  "SUM_DIFF" > "HOLLight.hollight.SUM_DIFF"
  | 
| 
 | 
   550  | 
  "SUM_DELTA" > "HOLLight.hollight.SUM_DELTA"
  | 
| 
 | 
   551  | 
  "SUM_CONST_NUMSEG" > "HOLLight.hollight.SUM_CONST_NUMSEG"
  | 
| 
 | 
   552  | 
  "SUM_CONST" > "HOLLight.hollight.SUM_CONST"
  | 
| 
 | 
   553  | 
  "SUM_CMUL_NUMSEG" > "HOLLight.hollight.SUM_CMUL_NUMSEG"
  | 
| 
 | 
   554  | 
  "SUM_CMUL" > "HOLLight.hollight.SUM_CMUL"
  | 
| 
 | 
   555  | 
  "SUM_CLAUSES_RIGHT" > "HOLLight.hollight.SUM_CLAUSES_RIGHT"
  | 
| 
 | 
   556  | 
  "SUM_CLAUSES_NUMSEG" > "HOLLight.hollight.SUM_CLAUSES_NUMSEG"
  | 
| 
 | 
   557  | 
  "SUM_CLAUSES_LEFT" > "HOLLight.hollight.SUM_CLAUSES_LEFT"
  | 
| 
 | 
   558  | 
  "SUM_CLAUSES" > "HOLLight.hollight.SUM_CLAUSES"
  | 
| 
 | 
   559  | 
  "SUM_BOUND_LT_GEN" > "HOLLight.hollight.SUM_BOUND_LT_GEN"
  | 
| 
 | 
   560  | 
  "SUM_BOUND_LT_ALL" > "HOLLight.hollight.SUM_BOUND_LT_ALL"
  | 
| 
 | 
   561  | 
  "SUM_BOUND_LT" > "HOLLight.hollight.SUM_BOUND_LT"
  | 
| 
 | 
   562  | 
  "SUM_BOUND_GEN" > "HOLLight.hollight.SUM_BOUND_GEN"
  | 
| 
 | 
   563  | 
  "SUM_BOUND" > "HOLLight.hollight.SUM_BOUND"
  | 
| 
19093
 | 
   564  | 
  "SUM_BIJECTION" > "HOLLight.hollight.SUM_BIJECTION"
  | 
| 
17644
 | 
   565  | 
  "SUM_ADD_SPLIT" > "HOLLight.hollight.SUM_ADD_SPLIT"
  | 
| 
 | 
   566  | 
  "SUM_ADD_NUMSEG" > "HOLLight.hollight.SUM_ADD_NUMSEG"
  | 
| 
 | 
   567  | 
  "SUM_ADD" > "HOLLight.hollight.SUM_ADD"
  | 
| 
 | 
   568  | 
  "SUM_ABS_NUMSEG" > "HOLLight.hollight.SUM_ABS_NUMSEG"
  | 
| 
 | 
   569  | 
  "SUM_ABS_BOUND" > "HOLLight.hollight.SUM_ABS_BOUND"
  | 
| 
 | 
   570  | 
  "SUM_ABS" > "HOLLight.hollight.SUM_ABS"
  | 
| 
 | 
   571  | 
  "SUM_0" > "HOLLight.hollight.SUM_0"
  | 
| 
 | 
   572  | 
  "SUC_SUB1" > "HOLLight.hollight.SUC_SUB1"
  | 
| 
 | 
   573  | 
  "SUC_INJ" > "Nat.nat.simps_3"
  | 
| 
 | 
   574  | 
  "SUB_SUC" > "Nat.diff_Suc_Suc"
  | 
| 
 | 
   575  | 
  "SUB_REFL" > "Nat.diff_self_eq_0"
  | 
| 
 | 
   576  | 
  "SUB_PRESUC" > "HOLLight.hollight.SUB_PRESUC"
  | 
| 
 | 
   577  | 
  "SUB_EQ_0" > "HOLLight.hollight.SUB_EQ_0"
  | 
| 
 | 
   578  | 
  "SUB_ELIM_THM" > "HOLLight.hollight.SUB_ELIM_THM"
  | 
| 
 | 
   579  | 
  "SUB_ADD_RCANCEL" > "Nat.diff_cancel2"
  | 
| 
 | 
   580  | 
  "SUB_ADD_LCANCEL" > "Nat.diff_cancel"
  | 
| 
 | 
   581  | 
  "SUB_ADD" > "HOLLight.hollight.SUB_ADD"
  | 
| 
 | 
   582  | 
  "SUB_0" > "HOLLight.hollight.SUB_0"
  | 
| 
 | 
   583  | 
  "SUBSET_def" > "HOLLight.hollight.SUBSET_def"
  | 
| 
 | 
   584  | 
  "SUBSET_UNIV" > "HOLLight.hollight.SUBSET_UNIV"
  | 
| 
 | 
   585  | 
  "SUBSET_UNION_ABSORPTION" > "HOLLight.hollight.SUBSET_UNION_ABSORPTION"
  | 
| 
 | 
   586  | 
  "SUBSET_UNION" > "HOLLight.hollight.SUBSET_UNION"
  | 
| 
 | 
   587  | 
  "SUBSET_TRANS" > "HOLLight.hollight.SUBSET_TRANS"
  | 
| 
 | 
   588  | 
  "SUBSET_RESTRICT" > "HOLLight.hollight.SUBSET_RESTRICT"
  | 
| 
 | 
   589  | 
  "SUBSET_REFL" > "HOLLight.hollight.SUBSET_REFL"
  | 
| 
 | 
   590  | 
  "SUBSET_PSUBSET_TRANS" > "HOLLight.hollight.SUBSET_PSUBSET_TRANS"
  | 
| 
 | 
   591  | 
  "SUBSET_NUMSEG" > "HOLLight.hollight.SUBSET_NUMSEG"
  | 
| 
 | 
   592  | 
  "SUBSET_INTER_ABSORPTION" > "HOLLight.hollight.SUBSET_INTER_ABSORPTION"
  | 
| 
 | 
   593  | 
  "SUBSET_INSERT_DELETE" > "HOLLight.hollight.SUBSET_INSERT_DELETE"
  | 
| 
 | 
   594  | 
  "SUBSET_INSERT" > "HOLLight.hollight.SUBSET_INSERT"
  | 
| 
 | 
   595  | 
  "SUBSET_IMAGE" > "HOLLight.hollight.SUBSET_IMAGE"
  | 
| 
 | 
   596  | 
  "SUBSET_EMPTY" > "HOLLight.hollight.SUBSET_EMPTY"
  | 
| 
 | 
   597  | 
  "SUBSET_DIFF" > "HOLLight.hollight.SUBSET_DIFF"
  | 
| 
 | 
   598  | 
  "SUBSET_DELETE" > "HOLLight.hollight.SUBSET_DELETE"
  | 
| 
 | 
   599  | 
  "SUBSET_ANTISYM" > "HOLLight.hollight.SUBSET_ANTISYM"
  | 
| 
 | 
   600  | 
  "SOME_def" > "HOLLight.hollight.SOME_def"
  | 
| 
 | 
   601  | 
  "SNDCART_PASTECART" > "HOLLight.hollight.SNDCART_PASTECART"
  | 
| 
 | 
   602  | 
  "SND" > "Product_Type.snd_conv"
  | 
| 
 | 
   603  | 
  "SKOLEM_THM" > "HOLLight.hollight.SKOLEM_THM"
  | 
| 
 | 
   604  | 
  "SING_def" > "HOLLight.hollight.SING_def"
  | 
| 
 | 
   605  | 
  "SIMPLE_IMAGE" > "HOLLight.hollight.SIMPLE_IMAGE"
  | 
| 
 | 
   606  | 
  "SET_RECURSION_LEMMA" > "HOLLight.hollight.SET_RECURSION_LEMMA"
  | 
| 
 | 
   607  | 
  "SET_OF_LIST_OF_SET" > "HOLLight.hollight.SET_OF_LIST_OF_SET"
  | 
| 
 | 
   608  | 
  "SET_OF_LIST_APPEND" > "HOLLight.hollight.SET_OF_LIST_APPEND"
  | 
| 
 | 
   609  | 
  "SET_CASES" > "HOLLight.hollight.SET_CASES"
  | 
| 
 | 
   610  | 
  "SETSPEC_def" > "HOLLight.hollight.SETSPEC_def"
  | 
| 
 | 
   611  | 
  "SEMIRING_PTHS" > "HOLLight.hollight.SEMIRING_PTHS"
  | 
| 
 | 
   612  | 
  "SELECT_UNIQUE" > "HOLLight.hollight.SELECT_UNIQUE"
  | 
| 
 | 
   613  | 
  "SELECT_REFL" > "Hilbert_Choice.some_eq_trivial"
  | 
| 
 | 
   614  | 
  "SELECT_LEMMA" > "Hilbert_Choice.some_sym_eq_trivial"
  | 
| 
 | 
   615  | 
  "RIGHT_SUB_DISTRIB" > "Nat.nat_distrib_3"
  | 
| 
 | 
   616  | 
  "RIGHT_OR_FORALL_THM" > "HOL.all_simps_4"
  | 
| 
 | 
   617  | 
  "RIGHT_OR_EXISTS_THM" > "HOL.ex_simps_4"
  | 
| 
 | 
   618  | 
  "RIGHT_OR_DISTRIB" > "HOL.conj_disj_distribR"
  | 
| 
 | 
   619  | 
  "RIGHT_IMP_FORALL_THM" > "HOL.all_simps_6"
  | 
| 
 | 
   620  | 
  "RIGHT_IMP_EXISTS_THM" > "HOL.ex_simps_6"
  | 
| 
 | 
   621  | 
  "RIGHT_FORALL_OR_THM" > "HOL.all_simps_4"
  | 
| 
 | 
   622  | 
  "RIGHT_FORALL_IMP_THM" > "HOL.all_simps_6"
  | 
| 
 | 
   623  | 
  "RIGHT_EXISTS_IMP_THM" > "HOL.ex_simps_6"
  | 
| 
 | 
   624  | 
  "RIGHT_EXISTS_AND_THM" > "HOL.ex_simps_2"
  | 
| 
 | 
   625  | 
  "RIGHT_AND_FORALL_THM" > "HOL.all_simps_2"
  | 
| 
 | 
   626  | 
  "RIGHT_AND_EXISTS_THM" > "HOL.ex_simps_2"
  | 
| 
 | 
   627  | 
  "RIGHT_ADD_DISTRIB" > "Nat.nat_distrib_1"
  | 
| 
 | 
   628  | 
  "REVERSE_def" > "HOLLight.hollight.REVERSE_def"
  | 
| 
 | 
   629  | 
  "REVERSE_REVERSE" > "HOLLight.hollight.REVERSE_REVERSE"
  | 
| 
 | 
   630  | 
  "REVERSE_APPEND" > "HOLLight.hollight.REVERSE_APPEND"
  | 
| 
 | 
   631  | 
  "REST_def" > "HOLLight.hollight.REST_def"
  | 
| 
 | 
   632  | 
  "REP_ABS_PAIR" > "HOLLightCompat.REP_ABS_PAIR"
  | 
| 
 | 
   633  | 
  "REPLICATE_def" > "HOLLight.hollight.REPLICATE_def"
  | 
| 
 | 
   634  | 
  "REFL_CLAUSE" > "HOL.simp_thms_6"
  | 
| 
 | 
   635  | 
  "RECURSION_CASEWISE_PAIRWISE" > "HOLLight.hollight.RECURSION_CASEWISE_PAIRWISE"
  | 
| 
 | 
   636  | 
  "RECURSION_CASEWISE" > "HOLLight.hollight.RECURSION_CASEWISE"
  | 
| 
 | 
   637  | 
  "REAL_WLOG_LT" > "HOLLight.hollight.REAL_WLOG_LT"
  | 
| 
 | 
   638  | 
  "REAL_WLOG_LE" > "HOLLight.hollight.REAL_WLOG_LE"
  | 
| 
 | 
   639  | 
  "REAL_SUB_TRIANGLE" > "HOLLight.hollight.REAL_SUB_TRIANGLE"
  | 
| 
 | 
   640  | 
  "REAL_SUB_SUB2" > "HOLLight.hollight.REAL_SUB_SUB2"
  | 
| 
 | 
   641  | 
  "REAL_SUB_SUB" > "HOLLight.hollight.REAL_SUB_SUB"
  | 
| 
 | 
   642  | 
  "REAL_SUB_RZERO" > "HOLLight.hollight.REAL_SUB_RZERO"
  | 
| 
 | 
   643  | 
  "REAL_SUB_RNEG" > "HOLLight.hollight.REAL_SUB_RNEG"
  | 
| 
 | 
   644  | 
  "REAL_SUB_REFL" > "HOLLight.hollight.REAL_SUB_REFL"
  | 
| 
 | 
   645  | 
  "REAL_SUB_RDISTRIB" > "HOLLight.hollight.REAL_SUB_RDISTRIB"
  | 
| 
 | 
   646  | 
  "REAL_SUB_NEG2" > "HOLLight.hollight.REAL_SUB_NEG2"
  | 
| 
 | 
   647  | 
  "REAL_SUB_LZERO" > "HOLLight.hollight.REAL_SUB_LZERO"
  | 
| 
 | 
   648  | 
  "REAL_SUB_LT" > "HOLLight.hollight.REAL_SUB_LT"
  | 
| 
 | 
   649  | 
  "REAL_SUB_LNEG" > "HOLLight.hollight.REAL_SUB_LNEG"
  | 
| 
 | 
   650  | 
  "REAL_SUB_LE" > "HOLLight.hollight.REAL_SUB_LE"
  | 
| 
 | 
   651  | 
  "REAL_SUB_LDISTRIB" > "HOLLight.hollight.REAL_SUB_LDISTRIB"
  | 
| 
 | 
   652  | 
  "REAL_SUB_INV" > "HOLLight.hollight.REAL_SUB_INV"
  | 
| 
 | 
   653  | 
  "REAL_SUB_ADD2" > "HOLLight.hollight.REAL_SUB_ADD2"
  | 
| 
 | 
   654  | 
  "REAL_SUB_ADD" > "HOLLight.hollight.REAL_SUB_ADD"
  | 
| 
 | 
   655  | 
  "REAL_SUB_ABS" > "HOLLight.hollight.REAL_SUB_ABS"
  | 
| 
 | 
   656  | 
  "REAL_SUB_0" > "HOLLight.hollight.REAL_SUB_0"
  | 
| 
19093
 | 
   657  | 
  "REAL_SOS_EQ_0" > "HOLLight.hollight.REAL_SOS_EQ_0"
  | 
| 
17644
 | 
   658  | 
  "REAL_RNEG_UNIQ" > "HOLLight.hollight.REAL_RNEG_UNIQ"
  | 
| 
 | 
   659  | 
  "REAL_POW_SUB" > "HOLLight.hollight.REAL_POW_SUB"
  | 
| 
 | 
   660  | 
  "REAL_POW_POW" > "HOLLight.hollight.REAL_POW_POW"
  | 
| 
 | 
   661  | 
  "REAL_POW_ONE" > "HOLLight.hollight.REAL_POW_ONE"
  | 
| 
 | 
   662  | 
  "REAL_POW_NZ" > "HOLLight.hollight.REAL_POW_NZ"
  | 
| 
 | 
   663  | 
  "REAL_POW_NEG" > "HOLLight.hollight.REAL_POW_NEG"
  | 
| 
 | 
   664  | 
  "REAL_POW_MUL" > "HOLLight.hollight.REAL_POW_MUL"
  | 
| 
 | 
   665  | 
  "REAL_POW_MONO_LT" > "HOLLight.hollight.REAL_POW_MONO_LT"
  | 
| 
 | 
   666  | 
  "REAL_POW_MONO" > "HOLLight.hollight.REAL_POW_MONO"
  | 
| 
 | 
   667  | 
  "REAL_POW_LT2" > "HOLLight.hollight.REAL_POW_LT2"
  | 
| 
 | 
   668  | 
  "REAL_POW_LT" > "HOLLight.hollight.REAL_POW_LT"
  | 
| 
 | 
   669  | 
  "REAL_POW_LE_1" > "HOLLight.hollight.REAL_POW_LE_1"
  | 
| 
 | 
   670  | 
  "REAL_POW_LE2" > "HOLLight.hollight.REAL_POW_LE2"
  | 
| 
 | 
   671  | 
  "REAL_POW_LE" > "HOLLight.hollight.REAL_POW_LE"
  | 
| 
 | 
   672  | 
  "REAL_POW_INV" > "HOLLight.hollight.REAL_POW_INV"
  | 
| 
 | 
   673  | 
  "REAL_POW_EQ_0" > "HOLLight.hollight.REAL_POW_EQ_0"
  | 
| 
 | 
   674  | 
  "REAL_POW_DIV" > "HOLLight.hollight.REAL_POW_DIV"
  | 
| 
 | 
   675  | 
  "REAL_POW_ADD" > "HOLLight.hollight.REAL_POW_ADD"
  | 
| 
 | 
   676  | 
  "REAL_POW_2" > "HOLLight.hollight.REAL_POW_2"
  | 
| 
 | 
   677  | 
  "REAL_POW_1_LE" > "HOLLight.hollight.REAL_POW_1_LE"
  | 
| 
 | 
   678  | 
  "REAL_POW_1" > "HOLLight.hollight.REAL_POW_1"
  | 
| 
 | 
   679  | 
  "REAL_POW2_ABS" > "HOLLight.hollight.REAL_POW2_ABS"
  | 
| 
 | 
   680  | 
  "REAL_POS_NZ" > "HOLLight.hollight.REAL_POS_NZ"
  | 
| 
 | 
   681  | 
  "REAL_POS" > "HOLLight.hollight.REAL_POS"
  | 
| 
 | 
   682  | 
  "REAL_POLY_NEG_CLAUSES" > "HOLLight.hollight.REAL_POLY_NEG_CLAUSES"
  | 
| 
 | 
   683  | 
  "REAL_POLY_CLAUSES" > "HOLLight.hollight.REAL_POLY_CLAUSES"
  | 
| 
 | 
   684  | 
  "REAL_OF_NUM_SUM_NUMSEG" > "HOLLight.hollight.REAL_OF_NUM_SUM_NUMSEG"
  | 
| 
 | 
   685  | 
  "REAL_OF_NUM_SUM" > "HOLLight.hollight.REAL_OF_NUM_SUM"
  | 
| 
 | 
   686  | 
  "REAL_OF_NUM_SUC" > "HOLLight.hollight.REAL_OF_NUM_SUC"
  | 
| 
 | 
   687  | 
  "REAL_OF_NUM_SUB" > "HOLLight.hollight.REAL_OF_NUM_SUB"
  | 
| 
 | 
   688  | 
  "REAL_OF_NUM_POW" > "HOLLight.hollight.REAL_OF_NUM_POW"
  | 
| 
 | 
   689  | 
  "REAL_OF_NUM_LT" > "HOLLight.hollight.REAL_OF_NUM_LT"
  | 
| 
 | 
   690  | 
  "REAL_OF_NUM_GT" > "HOLLight.hollight.REAL_OF_NUM_GT"
  | 
| 
 | 
   691  | 
  "REAL_OF_NUM_GE" > "HOLLight.hollight.REAL_OF_NUM_GE"
  | 
| 
 | 
   692  | 
  "REAL_NOT_LT" > "HOLLight.hollight.REAL_NOT_LT"
  | 
| 
 | 
   693  | 
  "REAL_NOT_LE" > "HOLLight.hollight.real_lt_def"
  | 
| 
 | 
   694  | 
  "REAL_NOT_EQ" > "HOLLight.hollight.REAL_NOT_EQ"
  | 
| 
 | 
   695  | 
  "REAL_NEG_SUB" > "HOLLight.hollight.REAL_NEG_SUB"
  | 
| 
 | 
   696  | 
  "REAL_NEG_RMUL" > "HOLLight.hollight.REAL_NEG_RMUL"
  | 
| 
 | 
   697  | 
  "REAL_NEG_NEG" > "HOLLight.hollight.REAL_NEG_NEG"
  | 
| 
 | 
   698  | 
  "REAL_NEG_MUL2" > "HOLLight.hollight.REAL_NEG_MUL2"
  | 
| 
 | 
   699  | 
  "REAL_NEG_MINUS1" > "HOLLight.hollight.REAL_NEG_MINUS1"
  | 
| 
 | 
   700  | 
  "REAL_NEG_LT0" > "HOLLight.hollight.REAL_NEG_LT0"
  | 
| 
 | 
   701  | 
  "REAL_NEG_LMUL" > "HOLLight.hollight.REAL_NEG_LMUL"
  | 
| 
 | 
   702  | 
  "REAL_NEG_LE0" > "HOLLight.hollight.REAL_NEG_LE0"
  | 
| 
 | 
   703  | 
  "REAL_NEG_GT0" > "HOLLight.hollight.REAL_NEG_GT0"
  | 
| 
 | 
   704  | 
  "REAL_NEG_GE0" > "HOLLight.hollight.REAL_NEG_GE0"
  | 
| 
 | 
   705  | 
  "REAL_NEG_EQ_0" > "HOLLight.hollight.REAL_NEG_EQ_0"
  | 
| 
 | 
   706  | 
  "REAL_NEG_EQ" > "HOLLight.hollight.REAL_NEG_EQ"
  | 
| 
 | 
   707  | 
  "REAL_NEG_ADD" > "HOLLight.hollight.REAL_NEG_ADD"
  | 
| 
 | 
   708  | 
  "REAL_NEG_0" > "HOLLight.hollight.REAL_NEG_0"
  | 
| 
 | 
   709  | 
  "REAL_NEGNEG" > "HOLLight.hollight.REAL_NEGNEG"
  | 
| 
 | 
   710  | 
  "REAL_MUL_RZERO" > "HOLLight.hollight.REAL_MUL_RZERO"
  | 
| 
 | 
   711  | 
  "REAL_MUL_RNEG" > "HOLLight.hollight.REAL_MUL_RNEG"
  | 
| 
 | 
   712  | 
  "REAL_MUL_RINV_UNIQ" > "HOLLight.hollight.REAL_MUL_RINV_UNIQ"
  | 
| 
 | 
   713  | 
  "REAL_MUL_RINV" > "HOLLight.hollight.REAL_MUL_RINV"
  | 
| 
 | 
   714  | 
  "REAL_MUL_RID" > "HOLLight.hollight.REAL_MUL_RID"
  | 
| 
 | 
   715  | 
  "REAL_MUL_LZERO" > "HOLLight.hollight.REAL_MUL_LZERO"
  | 
| 
 | 
   716  | 
  "REAL_MUL_LNEG" > "HOLLight.hollight.REAL_MUL_LNEG"
  | 
| 
 | 
   717  | 
  "REAL_MUL_LINV_UNIQ" > "HOLLight.hollight.REAL_MUL_LINV_UNIQ"
  | 
| 
 | 
   718  | 
  "REAL_MUL_AC" > "HOLLight.hollight.REAL_MUL_AC"
  | 
| 
 | 
   719  | 
  "REAL_MUL_2" > "HOLLight.hollight.REAL_MUL_2"
  | 
| 
 | 
   720  | 
  "REAL_MIN_SYM" > "HOLLight.hollight.REAL_MIN_SYM"
  | 
| 
 | 
   721  | 
  "REAL_MIN_MIN" > "HOLLight.hollight.REAL_MIN_MIN"
  | 
| 
 | 
   722  | 
  "REAL_MIN_MAX" > "HOLLight.hollight.REAL_MIN_MAX"
  | 
| 
 | 
   723  | 
  "REAL_MIN_LT" > "HOLLight.hollight.REAL_MIN_LT"
  | 
| 
 | 
   724  | 
  "REAL_MIN_LE" > "HOLLight.hollight.REAL_MIN_LE"
  | 
| 
 | 
   725  | 
  "REAL_MIN_ASSOC" > "HOLLight.hollight.REAL_MIN_ASSOC"
  | 
| 
 | 
   726  | 
  "REAL_MIN_ACI" > "HOLLight.hollight.REAL_MIN_ACI"
  | 
| 
 | 
   727  | 
  "REAL_MAX_SYM" > "HOLLight.hollight.REAL_MAX_SYM"
  | 
| 
 | 
   728  | 
  "REAL_MAX_MIN" > "HOLLight.hollight.REAL_MAX_MIN"
  | 
| 
 | 
   729  | 
  "REAL_MAX_MAX" > "HOLLight.hollight.REAL_MAX_MAX"
  | 
| 
 | 
   730  | 
  "REAL_MAX_LT" > "HOLLight.hollight.REAL_MAX_LT"
  | 
| 
 | 
   731  | 
  "REAL_MAX_LE" > "HOLLight.hollight.REAL_MAX_LE"
  | 
| 
 | 
   732  | 
  "REAL_MAX_ASSOC" > "HOLLight.hollight.REAL_MAX_ASSOC"
  | 
| 
 | 
   733  | 
  "REAL_MAX_ACI" > "HOLLight.hollight.REAL_MAX_ACI"
  | 
| 
 | 
   734  | 
  "REAL_LT_TRANS" > "HOLLight.hollight.REAL_LT_TRANS"
  | 
| 
 | 
   735  | 
  "REAL_LT_TOTAL" > "HOLLight.hollight.REAL_LT_TOTAL"
  | 
| 
 | 
   736  | 
  "REAL_LT_SUB_RADD" > "HOLLight.hollight.REAL_LT_SUB_RADD"
  | 
| 
 | 
   737  | 
  "REAL_LT_SUB_LADD" > "HOLLight.hollight.REAL_LT_SUB_LADD"
  | 
| 
 | 
   738  | 
  "REAL_LT_SQUARE" > "HOLLight.hollight.REAL_LT_SQUARE"
  | 
| 
 | 
   739  | 
  "REAL_LT_RNEG" > "HOLLight.hollight.REAL_LT_RNEG"
  | 
| 
 | 
   740  | 
  "REAL_LT_RMUL_EQ" > "HOLLight.hollight.REAL_LT_RMUL_EQ"
  | 
| 
 | 
   741  | 
  "REAL_LT_RMUL" > "HOLLight.hollight.REAL_LT_RMUL"
  | 
| 
 | 
   742  | 
  "REAL_LT_REFL" > "HOLLight.hollight.REAL_LT_REFL"
  | 
| 
 | 
   743  | 
  "REAL_LT_RDIV_EQ" > "HOLLight.hollight.REAL_LT_RDIV_EQ"
  | 
| 
 | 
   744  | 
  "REAL_LT_RCANCEL_IMP" > "HOLLight.hollight.REAL_LT_RCANCEL_IMP"
  | 
| 
 | 
   745  | 
  "REAL_LT_RADD" > "HOLLight.hollight.REAL_LT_RADD"
  | 
| 
 | 
   746  | 
  "REAL_LT_POW2" > "HOLLight.hollight.REAL_LT_POW2"
  | 
| 
 | 
   747  | 
  "REAL_LT_NEGTOTAL" > "HOLLight.hollight.REAL_LT_NEGTOTAL"
  | 
| 
 | 
   748  | 
  "REAL_LT_NEG2" > "HOLLight.hollight.REAL_LT_NEG2"
  | 
| 
 | 
   749  | 
  "REAL_LT_NEG" > "HOLLight.hollight.REAL_LT_NEG"
  | 
| 
 | 
   750  | 
  "REAL_LT_MUL2" > "HOLLight.hollight.REAL_LT_MUL2"
  | 
| 
 | 
   751  | 
  "REAL_LT_MUL" > "HOLLight.hollight.REAL_LT_MUL"
  | 
| 
 | 
   752  | 
  "REAL_LT_MIN" > "HOLLight.hollight.REAL_LT_MIN"
  | 
| 
 | 
   753  | 
  "REAL_LT_MAX" > "HOLLight.hollight.REAL_LT_MAX"
  | 
| 
 | 
   754  | 
  "REAL_LT_LNEG" > "HOLLight.hollight.REAL_LT_LNEG"
  | 
| 
 | 
   755  | 
  "REAL_LT_LMUL_EQ" > "HOLLight.hollight.REAL_LT_LMUL_EQ"
  | 
| 
 | 
   756  | 
  "REAL_LT_LMUL" > "HOLLight.hollight.REAL_LT_LMUL"
  | 
| 
 | 
   757  | 
  "REAL_LT_LE" > "HOLLight.hollight.REAL_LT_LE"
  | 
| 
 | 
   758  | 
  "REAL_LT_LDIV_EQ" > "HOLLight.hollight.REAL_LT_LDIV_EQ"
  | 
| 
 | 
   759  | 
  "REAL_LT_LCANCEL_IMP" > "HOLLight.hollight.REAL_LT_LCANCEL_IMP"
  | 
| 
 | 
   760  | 
  "REAL_LT_LADD_IMP" > "HOLLight.hollight.REAL_LT_LADD_IMP"
  | 
| 
 | 
   761  | 
  "REAL_LT_LADD" > "HOLLight.hollight.REAL_LT_LADD"
  | 
| 
 | 
   762  | 
  "REAL_LT_INV_EQ" > "HOLLight.hollight.REAL_LT_INV_EQ"
  | 
| 
 | 
   763  | 
  "REAL_LT_INV2" > "HOLLight.hollight.REAL_LT_INV2"
  | 
| 
 | 
   764  | 
  "REAL_LT_INV" > "HOLLight.hollight.REAL_LT_INV"
  | 
| 
 | 
   765  | 
  "REAL_LT_IMP_NZ" > "HOLLight.hollight.REAL_LT_IMP_NZ"
  | 
| 
 | 
   766  | 
  "REAL_LT_IMP_NE" > "HOLLight.hollight.REAL_LT_IMP_NE"
  | 
| 
 | 
   767  | 
  "REAL_LT_IMP_LE" > "HOLLight.hollight.REAL_LT_IMP_LE"
  | 
| 
 | 
   768  | 
  "REAL_LT_GT" > "HOLLight.hollight.REAL_LT_GT"
  | 
| 
 | 
   769  | 
  "REAL_LT_DIV2_EQ" > "HOLLight.hollight.REAL_LT_DIV2_EQ"
  | 
| 
 | 
   770  | 
  "REAL_LT_DIV" > "HOLLight.hollight.REAL_LT_DIV"
  | 
| 
 | 
   771  | 
  "REAL_LT_ANTISYM" > "HOLLight.hollight.REAL_LT_ANTISYM"
  | 
| 
 | 
   772  | 
  "REAL_LT_ADD_SUB" > "HOLLight.hollight.REAL_LT_ADD_SUB"
  | 
| 
 | 
   773  | 
  "REAL_LT_ADDR" > "HOLLight.hollight.REAL_LT_ADDR"
  | 
| 
 | 
   774  | 
  "REAL_LT_ADDNEG2" > "HOLLight.hollight.REAL_LT_ADDNEG2"
  | 
| 
 | 
   775  | 
  "REAL_LT_ADDNEG" > "HOLLight.hollight.REAL_LT_ADDNEG"
  | 
| 
 | 
   776  | 
  "REAL_LT_ADDL" > "HOLLight.hollight.REAL_LT_ADDL"
  | 
| 
 | 
   777  | 
  "REAL_LT_ADD2" > "HOLLight.hollight.REAL_LT_ADD2"
  | 
| 
 | 
   778  | 
  "REAL_LT_ADD1" > "HOLLight.hollight.REAL_LT_ADD1"
  | 
| 
 | 
   779  | 
  "REAL_LT_ADD" > "HOLLight.hollight.REAL_LT_ADD"
  | 
| 
 | 
   780  | 
  "REAL_LT_01" > "HOLLight.hollight.REAL_LT_01"
  | 
| 
 | 
   781  | 
  "REAL_LTE_TRANS" > "HOLLight.hollight.REAL_LTE_TRANS"
  | 
| 
 | 
   782  | 
  "REAL_LTE_TOTAL" > "HOLLight.hollight.REAL_LTE_TOTAL"
  | 
| 
 | 
   783  | 
  "REAL_LTE_ANTISYM" > "HOLLight.hollight.REAL_LTE_ANTISYM"
  | 
| 
 | 
   784  | 
  "REAL_LTE_ADD2" > "HOLLight.hollight.REAL_LTE_ADD2"
  | 
| 
 | 
   785  | 
  "REAL_LTE_ADD" > "HOLLight.hollight.REAL_LTE_ADD"
  | 
| 
 | 
   786  | 
  "REAL_LNEG_UNIQ" > "HOLLight.hollight.REAL_LNEG_UNIQ"
  | 
| 
 | 
   787  | 
  "REAL_LE_TOTAL" > "HOLLight.hollight.REAL_LE_TOTAL"
  | 
| 
 | 
   788  | 
  "REAL_LE_SUB_RADD" > "HOLLight.hollight.REAL_LE_SUB_RADD"
  | 
| 
 | 
   789  | 
  "REAL_LE_SUB_LADD" > "HOLLight.hollight.REAL_LE_SUB_LADD"
  | 
| 
 | 
   790  | 
  "REAL_LE_SQUARE_ABS" > "HOLLight.hollight.REAL_LE_SQUARE_ABS"
  | 
| 
 | 
   791  | 
  "REAL_LE_SQUARE" > "HOLLight.hollight.REAL_LE_SQUARE"
  | 
| 
 | 
   792  | 
  "REAL_LE_RNEG" > "HOLLight.hollight.REAL_LE_RNEG"
  | 
| 
 | 
   793  | 
  "REAL_LE_RMUL_EQ" > "HOLLight.hollight.REAL_LE_RMUL_EQ"
  | 
| 
 | 
   794  | 
  "REAL_LE_RMUL" > "HOLLight.hollight.REAL_LE_RMUL"
  | 
| 
 | 
   795  | 
  "REAL_LE_REFL" > "HOLLight.hollight.REAL_LE_REFL"
  | 
| 
 | 
   796  | 
  "REAL_LE_RDIV_EQ" > "HOLLight.hollight.REAL_LE_RDIV_EQ"
  | 
| 
 | 
   797  | 
  "REAL_LE_RCANCEL_IMP" > "HOLLight.hollight.REAL_LE_RCANCEL_IMP"
  | 
| 
 | 
   798  | 
  "REAL_LE_RADD" > "HOLLight.hollight.REAL_LE_RADD"
  | 
| 
 | 
   799  | 
  "REAL_LE_POW2" > "HOLLight.hollight.REAL_LE_POW2"
  | 
| 
 | 
   800  | 
  "REAL_LE_NEGTOTAL" > "HOLLight.hollight.REAL_LE_NEGTOTAL"
  | 
| 
 | 
   801  | 
  "REAL_LE_NEGR" > "HOLLight.hollight.REAL_LE_NEGR"
  | 
| 
 | 
   802  | 
  "REAL_LE_NEGL" > "HOLLight.hollight.REAL_LE_NEGL"
  | 
| 
 | 
   803  | 
  "REAL_LE_NEG2" > "HOLLight.hollight.REAL_LE_NEG2"
  | 
| 
 | 
   804  | 
  "REAL_LE_NEG" > "HOLLight.hollight.REAL_LE_NEG"
  | 
| 
 | 
   805  | 
  "REAL_LE_MUL2" > "HOLLight.hollight.REAL_LE_MUL2"
  | 
| 
 | 
   806  | 
  "REAL_LE_MIN" > "HOLLight.hollight.REAL_LE_MIN"
  | 
| 
 | 
   807  | 
  "REAL_LE_MAX" > "HOLLight.hollight.REAL_LE_MAX"
  | 
| 
 | 
   808  | 
  "REAL_LE_LT" > "HOLLight.hollight.REAL_LE_LT"
  | 
| 
 | 
   809  | 
  "REAL_LE_LNEG" > "HOLLight.hollight.REAL_LE_LNEG"
  | 
| 
 | 
   810  | 
  "REAL_LE_LMUL_EQ" > "HOLLight.hollight.REAL_LE_LMUL_EQ"
  | 
| 
 | 
   811  | 
  "REAL_LE_LMUL" > "HOLLight.hollight.REAL_LE_LMUL"
  | 
| 
 | 
   812  | 
  "REAL_LE_LDIV_EQ" > "HOLLight.hollight.REAL_LE_LDIV_EQ"
  | 
| 
 | 
   813  | 
  "REAL_LE_LCANCEL_IMP" > "HOLLight.hollight.REAL_LE_LCANCEL_IMP"
  | 
| 
 | 
   814  | 
  "REAL_LE_LADD" > "HOLLight.hollight.REAL_LE_LADD"
  | 
| 
 | 
   815  | 
  "REAL_LE_INV_EQ" > "HOLLight.hollight.REAL_LE_INV_EQ"
  | 
| 
 | 
   816  | 
  "REAL_LE_INV2" > "HOLLight.hollight.REAL_LE_INV2"
  | 
| 
 | 
   817  | 
  "REAL_LE_INV" > "HOLLight.hollight.REAL_LE_INV"
  | 
| 
 | 
   818  | 
  "REAL_LE_DOUBLE" > "HOLLight.hollight.REAL_LE_DOUBLE"
  | 
| 
 | 
   819  | 
  "REAL_LE_DIV2_EQ" > "HOLLight.hollight.REAL_LE_DIV2_EQ"
  | 
| 
 | 
   820  | 
  "REAL_LE_DIV" > "HOLLight.hollight.REAL_LE_DIV"
  | 
| 
 | 
   821  | 
  "REAL_LE_ANTISYM" > "HOLLight.hollight.REAL_LE_ANTISYM"
  | 
| 
 | 
   822  | 
  "REAL_LE_ADDR" > "HOLLight.hollight.REAL_LE_ADDR"
  | 
| 
 | 
   823  | 
  "REAL_LE_ADDL" > "HOLLight.hollight.REAL_LE_ADDL"
  | 
| 
 | 
   824  | 
  "REAL_LE_ADD2" > "HOLLight.hollight.REAL_LE_ADD2"
  | 
| 
 | 
   825  | 
  "REAL_LE_ADD" > "HOLLight.hollight.REAL_LE_ADD"
  | 
| 
 | 
   826  | 
  "REAL_LE_01" > "HOLLight.hollight.REAL_LE_01"
  | 
| 
 | 
   827  | 
  "REAL_LET_TRANS" > "HOLLight.hollight.REAL_LET_TRANS"
  | 
| 
 | 
   828  | 
  "REAL_LET_TOTAL" > "HOLLight.hollight.REAL_LET_TOTAL"
  | 
| 
 | 
   829  | 
  "REAL_LET_ANTISYM" > "HOLLight.hollight.REAL_LET_ANTISYM"
  | 
| 
 | 
   830  | 
  "REAL_LET_ADD2" > "HOLLight.hollight.REAL_LET_ADD2"
  | 
| 
 | 
   831  | 
  "REAL_LET_ADD" > "HOLLight.hollight.REAL_LET_ADD"
  | 
| 
 | 
   832  | 
  "REAL_INV_NEG" > "HOLLight.hollight.REAL_INV_NEG"
  | 
| 
 | 
   833  | 
  "REAL_INV_MUL" > "HOLLight.hollight.REAL_INV_MUL"
  | 
| 
 | 
   834  | 
  "REAL_INV_LE_1" > "HOLLight.hollight.REAL_INV_LE_1"
  | 
| 
 | 
   835  | 
  "REAL_INV_INV" > "HOLLight.hollight.REAL_INV_INV"
  | 
| 
 | 
   836  | 
  "REAL_INV_EQ_0" > "HOLLight.hollight.REAL_INV_EQ_0"
  | 
| 
 | 
   837  | 
  "REAL_INV_DIV" > "HOLLight.hollight.REAL_INV_DIV"
  | 
| 
 | 
   838  | 
  "REAL_INV_1_LE" > "HOLLight.hollight.REAL_INV_1_LE"
  | 
| 
 | 
   839  | 
  "REAL_INV_1" > "HOLLight.hollight.REAL_INV_1"
  | 
| 
 | 
   840  | 
  "REAL_HREAL_LEMMA2" > "HOLLight.hollight.REAL_HREAL_LEMMA2"
  | 
| 
 | 
   841  | 
  "REAL_HREAL_LEMMA1" > "HOLLight.hollight.REAL_HREAL_LEMMA1"
  | 
| 
 | 
   842  | 
  "REAL_EQ_SUB_RADD" > "HOLLight.hollight.REAL_EQ_SUB_RADD"
  | 
| 
 | 
   843  | 
  "REAL_EQ_SUB_LADD" > "HOLLight.hollight.REAL_EQ_SUB_LADD"
  | 
| 
 | 
   844  | 
  "REAL_EQ_RDIV_EQ" > "HOLLight.hollight.REAL_EQ_RDIV_EQ"
  | 
| 
 | 
   845  | 
  "REAL_EQ_RCANCEL_IMP" > "HOLLight.hollight.REAL_EQ_RCANCEL_IMP"
  | 
| 
 | 
   846  | 
  "REAL_EQ_NEG2" > "HOLLight.hollight.REAL_EQ_NEG2"
  | 
| 
 | 
   847  | 
  "REAL_EQ_MUL_RCANCEL" > "HOLLight.hollight.REAL_EQ_MUL_RCANCEL"
  | 
| 
 | 
   848  | 
  "REAL_EQ_MUL_LCANCEL" > "HOLLight.hollight.REAL_EQ_MUL_LCANCEL"
  | 
| 
 | 
   849  | 
  "REAL_EQ_LDIV_EQ" > "HOLLight.hollight.REAL_EQ_LDIV_EQ"
  | 
| 
 | 
   850  | 
  "REAL_EQ_LCANCEL_IMP" > "HOLLight.hollight.REAL_EQ_LCANCEL_IMP"
  | 
| 
 | 
   851  | 
  "REAL_EQ_IMP_LE" > "HOLLight.hollight.REAL_EQ_IMP_LE"
  | 
| 
 | 
   852  | 
  "REAL_EQ_ADD_RCANCEL_0" > "HOLLight.hollight.REAL_EQ_ADD_RCANCEL_0"
  | 
| 
 | 
   853  | 
  "REAL_EQ_ADD_RCANCEL" > "HOLLight.hollight.REAL_EQ_ADD_RCANCEL"
  | 
| 
 | 
   854  | 
  "REAL_EQ_ADD_LCANCEL_0" > "HOLLight.hollight.REAL_EQ_ADD_LCANCEL_0"
  | 
| 
 | 
   855  | 
  "REAL_EQ_ADD_LCANCEL" > "HOLLight.hollight.REAL_EQ_ADD_LCANCEL"
  | 
| 
 | 
   856  | 
  "REAL_ENTIRE" > "HOLLight.hollight.REAL_ENTIRE"
  | 
| 
 | 
   857  | 
  "REAL_DOWN2" > "HOLLight.hollight.REAL_DOWN2"
  | 
| 
 | 
   858  | 
  "REAL_DOWN" > "HOLLight.hollight.REAL_DOWN"
  | 
| 
 | 
   859  | 
  "REAL_DIV_RMUL" > "HOLLight.hollight.REAL_DIV_RMUL"
  | 
| 
 | 
   860  | 
  "REAL_DIV_REFL" > "HOLLight.hollight.REAL_DIV_REFL"
  | 
| 
 | 
   861  | 
  "REAL_DIV_POW2_ALT" > "HOLLight.hollight.REAL_DIV_POW2_ALT"
  | 
| 
 | 
   862  | 
  "REAL_DIV_POW2" > "HOLLight.hollight.REAL_DIV_POW2"
  | 
| 
 | 
   863  | 
  "REAL_DIV_LMUL" > "HOLLight.hollight.REAL_DIV_LMUL"
  | 
| 
 | 
   864  | 
  "REAL_DIV_1" > "HOLLight.hollight.REAL_DIV_1"
  | 
| 
 | 
   865  | 
  "REAL_DIFFSQ" > "HOLLight.hollight.REAL_DIFFSQ"
  | 
| 
 | 
   866  | 
  "REAL_COMPLETE_SOMEPOS" > "HOLLight.hollight.REAL_COMPLETE_SOMEPOS"
  | 
| 
 | 
   867  | 
  "REAL_COMPLETE" > "HOLLight.hollight.REAL_COMPLETE"
  | 
| 
 | 
   868  | 
  "REAL_ADD_SUB2" > "HOLLight.hollight.REAL_ADD_SUB2"
  | 
| 
 | 
   869  | 
  "REAL_ADD_SUB" > "HOLLight.hollight.REAL_ADD_SUB"
  | 
| 
 | 
   870  | 
  "REAL_ADD_RINV" > "HOLLight.hollight.REAL_ADD_RINV"
  | 
| 
 | 
   871  | 
  "REAL_ADD_RID" > "HOLLight.hollight.REAL_ADD_RID"
  | 
| 
 | 
   872  | 
  "REAL_ADD_RDISTRIB" > "HOLLight.hollight.REAL_ADD_RDISTRIB"
  | 
| 
 | 
   873  | 
  "REAL_ADD_AC" > "HOLLight.hollight.REAL_ADD_AC"
  | 
| 
 | 
   874  | 
  "REAL_ADD2_SUB2" > "HOLLight.hollight.REAL_ADD2_SUB2"
  | 
| 
 | 
   875  | 
  "REAL_ABS_ZERO" > "HOLLight.hollight.REAL_ABS_ZERO"
  | 
| 
 | 
   876  | 
  "REAL_ABS_TRIANGLE_LT" > "HOLLight.hollight.REAL_ABS_TRIANGLE_LT"
  | 
| 
 | 
   877  | 
  "REAL_ABS_TRIANGLE_LE" > "HOLLight.hollight.REAL_ABS_TRIANGLE_LE"
  | 
| 
 | 
   878  | 
  "REAL_ABS_TRIANGLE" > "HOLLight.hollight.REAL_ABS_TRIANGLE"
  | 
| 
 | 
   879  | 
  "REAL_ABS_SUB_ABS" > "HOLLight.hollight.REAL_ABS_SUB_ABS"
  | 
| 
 | 
   880  | 
  "REAL_ABS_SUB" > "HOLLight.hollight.REAL_ABS_SUB"
  | 
| 
 | 
   881  | 
  "REAL_ABS_STILLNZ" > "HOLLight.hollight.REAL_ABS_STILLNZ"
  | 
| 
 | 
   882  | 
  "REAL_ABS_SIGN2" > "HOLLight.hollight.REAL_ABS_SIGN2"
  | 
| 
 | 
   883  | 
  "REAL_ABS_SIGN" > "HOLLight.hollight.REAL_ABS_SIGN"
  | 
| 
 | 
   884  | 
  "REAL_ABS_REFL" > "HOLLight.hollight.REAL_ABS_REFL"
  | 
| 
 | 
   885  | 
  "REAL_ABS_POW" > "HOLLight.hollight.REAL_ABS_POW"
  | 
| 
 | 
   886  | 
  "REAL_ABS_POS" > "HOLLight.hollight.REAL_ABS_POS"
  | 
| 
 | 
   887  | 
  "REAL_ABS_NZ" > "HOLLight.hollight.REAL_ABS_NZ"
  | 
| 
 | 
   888  | 
  "REAL_ABS_NUM" > "HOLLight.hollight.REAL_ABS_NUM"
  | 
| 
 | 
   889  | 
  "REAL_ABS_NEG" > "HOLLight.hollight.REAL_ABS_NEG"
  | 
| 
 | 
   890  | 
  "REAL_ABS_MUL" > "HOLLight.hollight.REAL_ABS_MUL"
  | 
| 
 | 
   891  | 
  "REAL_ABS_LE" > "HOLLight.hollight.REAL_ABS_LE"
  | 
| 
 | 
   892  | 
  "REAL_ABS_INV" > "HOLLight.hollight.REAL_ABS_INV"
  | 
| 
 | 
   893  | 
  "REAL_ABS_DIV" > "HOLLight.hollight.REAL_ABS_DIV"
  | 
| 
 | 
   894  | 
  "REAL_ABS_CIRCLE" > "HOLLight.hollight.REAL_ABS_CIRCLE"
  | 
| 
 | 
   895  | 
  "REAL_ABS_CASES" > "HOLLight.hollight.REAL_ABS_CASES"
  | 
| 
 | 
   896  | 
  "REAL_ABS_BOUNDS" > "HOLLight.hollight.REAL_ABS_BOUNDS"
  | 
| 
 | 
   897  | 
  "REAL_ABS_BOUND" > "HOLLight.hollight.REAL_ABS_BOUND"
  | 
| 
 | 
   898  | 
  "REAL_ABS_BETWEEN2" > "HOLLight.hollight.REAL_ABS_BETWEEN2"
  | 
| 
 | 
   899  | 
  "REAL_ABS_BETWEEN1" > "HOLLight.hollight.REAL_ABS_BETWEEN1"
  | 
| 
 | 
   900  | 
  "REAL_ABS_BETWEEN" > "HOLLight.hollight.REAL_ABS_BETWEEN"
  | 
| 
 | 
   901  | 
  "REAL_ABS_ABS" > "HOLLight.hollight.REAL_ABS_ABS"
  | 
| 
 | 
   902  | 
  "REAL_ABS_1" > "HOLLight.hollight.REAL_ABS_1"
  | 
| 
 | 
   903  | 
  "REAL_ABS_0" > "HOLLight.hollight.REAL_ABS_0"
  | 
| 
 | 
   904  | 
  "RAT_LEMMA5" > "HOLLight.hollight.RAT_LEMMA5"
  | 
| 
 | 
   905  | 
  "RAT_LEMMA4" > "HOLLight.hollight.RAT_LEMMA4"
  | 
| 
 | 
   906  | 
  "RAT_LEMMA3" > "HOLLight.hollight.RAT_LEMMA3"
  | 
| 
 | 
   907  | 
  "RAT_LEMMA2" > "HOLLight.hollight.RAT_LEMMA2"
  | 
| 
 | 
   908  | 
  "RAT_LEMMA1" > "HOLLight.hollight.RAT_LEMMA1"
  | 
| 
 | 
   909  | 
  "PSUBSET_def" > "HOLLight.hollight.PSUBSET_def"
  | 
| 
 | 
   910  | 
  "PSUBSET_UNIV" > "HOLLight.hollight.PSUBSET_UNIV"
  | 
| 
 | 
   911  | 
  "PSUBSET_TRANS" > "HOLLight.hollight.PSUBSET_TRANS"
  | 
| 
 | 
   912  | 
  "PSUBSET_SUBSET_TRANS" > "HOLLight.hollight.PSUBSET_SUBSET_TRANS"
  | 
| 
 | 
   913  | 
  "PSUBSET_MEMBER" > "HOLLight.hollight.PSUBSET_MEMBER"
  | 
| 
 | 
   914  | 
  "PSUBSET_IRREFL" > "HOLLight.hollight.PSUBSET_IRREFL"
  | 
| 
 | 
   915  | 
  "PSUBSET_INSERT_SUBSET" > "HOLLight.hollight.PSUBSET_INSERT_SUBSET"
  | 
| 
 | 
   916  | 
  "PRE_ELIM_THM" > "HOLLight.hollight.PRE_ELIM_THM"
  | 
| 
 | 
   917  | 
  "PASTECART_FST_SND" > "HOLLight.hollight.PASTECART_FST_SND"
  | 
| 
 | 
   918  | 
  "PASTECART_EQ" > "HOLLight.hollight.PASTECART_EQ"
  | 
| 
 | 
   919  | 
  "PASSOC_def" > "HOLLight.hollight.PASSOC_def"
  | 
| 
 | 
   920  | 
  "PAIR_SURJECTIVE" > "Datatype.prod.nchotomy"
  | 
| 
 | 
   921  | 
  "PAIR_EXISTS_THM" > "HOLLight.hollight.PAIR_EXISTS_THM"
  | 
| 
 | 
   922  | 
  "PAIR_EQ" > "Datatype.prod.simps_1"
  | 
| 
 | 
   923  | 
  "PAIRWISE_def" > "HOLLight.hollight.PAIRWISE_def"
  | 
| 
 | 
   924  | 
  "PAIR" > "HOL4Compat.PAIR"
  | 
| 
 | 
   925  | 
  "OUTR_def" > "HOLLight.hollight.OUTR_def"
  | 
| 
 | 
   926  | 
  "OUTL_def" > "HOLLight.hollight.OUTL_def"
  | 
| 
 | 
   927  | 
  "OR_EXISTS_THM" > "HOL.ex_disj_distrib"
  | 
| 
 | 
   928  | 
  "OR_CLAUSES" > "HOLLight.hollight.OR_CLAUSES"
  | 
| 
 | 
   929  | 
  "ONE" > "HOLLight.hollight.ONE"
  | 
| 
 | 
   930  | 
  "ODD_def" > "HOLLight.hollight.ODD_def"
  | 
| 
 | 
   931  | 
  "ODD_MULT" > "HOLLight.hollight.ODD_MULT"
  | 
| 
 | 
   932  | 
  "ODD_MOD" > "HOLLight.hollight.ODD_MOD"
  | 
| 
 | 
   933  | 
  "ODD_EXP" > "HOLLight.hollight.ODD_EXP"
  | 
| 
 | 
   934  | 
  "ODD_EXISTS" > "HOLLight.hollight.ODD_EXISTS"
  | 
| 
 | 
   935  | 
  "ODD_DOUBLE" > "HOLLight.hollight.ODD_DOUBLE"
  | 
| 
 | 
   936  | 
  "ODD_ADD" > "HOLLight.hollight.ODD_ADD"
  | 
| 
 | 
   937  | 
  "NUM_INTEGRAL_LEMMA" > "HOLLight.hollight.NUM_INTEGRAL_LEMMA"
  | 
| 
 | 
   938  | 
  "NUM_INTEGRAL" > "HOLLight.hollight.NUM_INTEGRAL"
  | 
| 
 | 
   939  | 
  "NUMSUM_def" > "HOLLight.hollight.NUMSUM_def"
  | 
| 
 | 
   940  | 
  "NUMSUM_INJ" > "HOLLight.hollight.NUMSUM_INJ"
  | 
| 
 | 
   941  | 
  "NUMSND_def" > "HOLLight.hollight.NUMSND_def"
  | 
| 
 | 
   942  | 
  "NUMSEG_SING" > "HOLLight.hollight.NUMSEG_SING"
  | 
| 
 | 
   943  | 
  "NUMSEG_RREC" > "HOLLight.hollight.NUMSEG_RREC"
  | 
| 
 | 
   944  | 
  "NUMSEG_REC" > "HOLLight.hollight.NUMSEG_REC"
  | 
| 
 | 
   945  | 
  "NUMSEG_OFFSET_IMAGE" > "HOLLight.hollight.NUMSEG_OFFSET_IMAGE"
  | 
| 
 | 
   946  | 
  "NUMSEG_LREC" > "HOLLight.hollight.NUMSEG_LREC"
  | 
| 
 | 
   947  | 
  "NUMSEG_EMPTY" > "HOLLight.hollight.NUMSEG_EMPTY"
  | 
| 
 | 
   948  | 
  "NUMSEG_COMBINE_R" > "HOLLight.hollight.NUMSEG_COMBINE_R"
  | 
| 
 | 
   949  | 
  "NUMSEG_COMBINE_L" > "HOLLight.hollight.NUMSEG_COMBINE_L"
  | 
| 
 | 
   950  | 
  "NUMSEG_CLAUSES" > "HOLLight.hollight.NUMSEG_CLAUSES"
  | 
| 
 | 
   951  | 
  "NUMSEG_ADD_SPLIT" > "HOLLight.hollight.NUMSEG_ADD_SPLIT"
  | 
| 
 | 
   952  | 
  "NUMRIGHT_def" > "HOLLight.hollight.NUMRIGHT_def"
  | 
| 
 | 
   953  | 
  "NUMPAIR_def" > "HOLLight.hollight.NUMPAIR_def"
  | 
| 
 | 
   954  | 
  "NUMPAIR_INJ_LEMMA" > "HOLLight.hollight.NUMPAIR_INJ_LEMMA"
  | 
| 
 | 
   955  | 
  "NUMPAIR_INJ" > "HOLLight.hollight.NUMPAIR_INJ"
  | 
| 
 | 
   956  | 
  "NUMLEFT_def" > "HOLLight.hollight.NUMLEFT_def"
  | 
| 
 | 
   957  | 
  "NUMFST_def" > "HOLLight.hollight.NUMFST_def"
  | 
| 
 | 
   958  | 
  "NULL_def" > "HOLLight.hollight.NULL_def"
  | 
| 
 | 
   959  | 
  "NSUM_UNION_RZERO" > "HOLLight.hollight.NSUM_UNION_RZERO"
  | 
| 
 | 
   960  | 
  "NSUM_UNION_LZERO" > "HOLLight.hollight.NSUM_UNION_LZERO"
  | 
| 
 | 
   961  | 
  "NSUM_UNION_EQ" > "HOLLight.hollight.NSUM_UNION_EQ"
  | 
| 
 | 
   962  | 
  "NSUM_UNION" > "HOLLight.hollight.NSUM_UNION"
  | 
| 
 | 
   963  | 
  "NSUM_TRIV_NUMSEG" > "HOLLight.hollight.NSUM_TRIV_NUMSEG"
  | 
| 
 | 
   964  | 
  "NSUM_SWAP_NUMSEG" > "HOLLight.hollight.NSUM_SWAP_NUMSEG"
  | 
| 
 | 
   965  | 
  "NSUM_SWAP" > "HOLLight.hollight.NSUM_SWAP"
  | 
| 
 | 
   966  | 
  "NSUM_SUPPORT" > "HOLLight.hollight.NSUM_SUPPORT"
  | 
| 
 | 
   967  | 
  "NSUM_SUPERSET" > "HOLLight.hollight.NSUM_SUPERSET"
  | 
| 
 | 
   968  | 
  "NSUM_SUBSET_SIMPLE" > "HOLLight.hollight.NSUM_SUBSET_SIMPLE"
  | 
| 
 | 
   969  | 
  "NSUM_SUBSET" > "HOLLight.hollight.NSUM_SUBSET"
  | 
| 
 | 
   970  | 
  "NSUM_SING_NUMSEG" > "HOLLight.hollight.NSUM_SING_NUMSEG"
  | 
| 
 | 
   971  | 
  "NSUM_SING" > "HOLLight.hollight.NSUM_SING"
  | 
| 
 | 
   972  | 
  "NSUM_RESTRICT_SET" > "HOLLight.hollight.NSUM_RESTRICT_SET"
  | 
| 
 | 
   973  | 
  "NSUM_RESTRICT" > "HOLLight.hollight.NSUM_RESTRICT"
  | 
| 
 | 
   974  | 
  "NSUM_POS_LE_NUMSEG" > "HOLLight.hollight.NSUM_POS_LE_NUMSEG"
  | 
| 
 | 
   975  | 
  "NSUM_POS_LE" > "HOLLight.hollight.NSUM_POS_LE"
  | 
| 
 | 
   976  | 
  "NSUM_POS_EQ_0_NUMSEG" > "HOLLight.hollight.NSUM_POS_EQ_0_NUMSEG"
  | 
| 
 | 
   977  | 
  "NSUM_POS_EQ_0" > "HOLLight.hollight.NSUM_POS_EQ_0"
  | 
| 
 | 
   978  | 
  "NSUM_POS_BOUND" > "HOLLight.hollight.NSUM_POS_BOUND"
  | 
| 
 | 
   979  | 
  "NSUM_OFFSET_0" > "HOLLight.hollight.NSUM_OFFSET_0"
  | 
| 
 | 
   980  | 
  "NSUM_OFFSET" > "HOLLight.hollight.NSUM_OFFSET"
  | 
| 
 | 
   981  | 
  "NSUM_NSUM_RESTRICT" > "HOLLight.hollight.NSUM_NSUM_RESTRICT"
  | 
| 
19093
 | 
   982  | 
  "NSUM_NSUM_PRODUCT" > "HOLLight.hollight.NSUM_NSUM_PRODUCT"
  | 
| 
17644
 | 
   983  | 
  "NSUM_MULTICOUNT_GEN" > "HOLLight.hollight.NSUM_MULTICOUNT_GEN"
  | 
| 
 | 
   984  | 
  "NSUM_MULTICOUNT" > "HOLLight.hollight.NSUM_MULTICOUNT"
  | 
| 
 | 
   985  | 
  "NSUM_LT_ALL" > "HOLLight.hollight.NSUM_LT_ALL"
  | 
| 
 | 
   986  | 
  "NSUM_LT" > "HOLLight.hollight.NSUM_LT"
  | 
| 
 | 
   987  | 
  "NSUM_LE_NUMSEG" > "HOLLight.hollight.NSUM_LE_NUMSEG"
  | 
| 
 | 
   988  | 
  "NSUM_LE" > "HOLLight.hollight.NSUM_LE"
  | 
| 
 | 
   989  | 
  "NSUM_IMAGE_GEN" > "HOLLight.hollight.NSUM_IMAGE_GEN"
  | 
| 
 | 
   990  | 
  "NSUM_IMAGE" > "HOLLight.hollight.NSUM_IMAGE"
  | 
| 
 | 
   991  | 
  "NSUM_EQ_SUPERSET" > "HOLLight.hollight.NSUM_EQ_SUPERSET"
  | 
| 
 | 
   992  | 
  "NSUM_EQ_NUMSEG" > "HOLLight.hollight.NSUM_EQ_NUMSEG"
  | 
| 
19093
 | 
   993  | 
  "NSUM_EQ_GENERAL" > "HOLLight.hollight.NSUM_EQ_GENERAL"
  | 
| 
17644
 | 
   994  | 
  "NSUM_EQ_0_NUMSEG" > "HOLLight.hollight.NSUM_EQ_0_NUMSEG"
  | 
| 
 | 
   995  | 
  "NSUM_EQ_0" > "HOLLight.hollight.NSUM_EQ_0"
  | 
| 
 | 
   996  | 
  "NSUM_EQ" > "HOLLight.hollight.NSUM_EQ"
  | 
| 
 | 
   997  | 
  "NSUM_DIFF" > "HOLLight.hollight.NSUM_DIFF"
  | 
| 
 | 
   998  | 
  "NSUM_DELTA" > "HOLLight.hollight.NSUM_DELTA"
  | 
| 
 | 
   999  | 
  "NSUM_CONST_NUMSEG" > "HOLLight.hollight.NSUM_CONST_NUMSEG"
  | 
| 
 | 
  1000  | 
  "NSUM_CONST" > "HOLLight.hollight.NSUM_CONST"
  | 
| 
 | 
  1001  | 
  "NSUM_CMUL_NUMSEG" > "HOLLight.hollight.NSUM_CMUL_NUMSEG"
  | 
| 
 | 
  1002  | 
  "NSUM_CMUL" > "HOLLight.hollight.NSUM_CMUL"
  | 
| 
 | 
  1003  | 
  "NSUM_CLAUSES_RIGHT" > "HOLLight.hollight.NSUM_CLAUSES_RIGHT"
  | 
| 
 | 
  1004  | 
  "NSUM_CLAUSES_NUMSEG" > "HOLLight.hollight.NSUM_CLAUSES_NUMSEG"
  | 
| 
 | 
  1005  | 
  "NSUM_CLAUSES_LEFT" > "HOLLight.hollight.NSUM_CLAUSES_LEFT"
  | 
| 
 | 
  1006  | 
  "NSUM_CLAUSES" > "HOLLight.hollight.NSUM_CLAUSES"
  | 
| 
 | 
  1007  | 
  "NSUM_BOUND_LT_GEN" > "HOLLight.hollight.NSUM_BOUND_LT_GEN"
  | 
| 
 | 
  1008  | 
  "NSUM_BOUND_LT_ALL" > "HOLLight.hollight.NSUM_BOUND_LT_ALL"
  | 
| 
 | 
  1009  | 
  "NSUM_BOUND_LT" > "HOLLight.hollight.NSUM_BOUND_LT"
  | 
| 
 | 
  1010  | 
  "NSUM_BOUND_GEN" > "HOLLight.hollight.NSUM_BOUND_GEN"
  | 
| 
 | 
  1011  | 
  "NSUM_BOUND" > "HOLLight.hollight.NSUM_BOUND"
  | 
| 
19093
 | 
  1012  | 
  "NSUM_BIJECTION" > "HOLLight.hollight.NSUM_BIJECTION"
  | 
| 
17644
 | 
  1013  | 
  "NSUM_ADD_SPLIT" > "HOLLight.hollight.NSUM_ADD_SPLIT"
  | 
| 
 | 
  1014  | 
  "NSUM_ADD_NUMSEG" > "HOLLight.hollight.NSUM_ADD_NUMSEG"
  | 
| 
 | 
  1015  | 
  "NSUM_ADD" > "HOLLight.hollight.NSUM_ADD"
  | 
| 
 | 
  1016  | 
  "NSUM_0" > "HOLLight.hollight.NSUM_0"
  | 
| 
 | 
  1017  | 
  "NOT_UNIV_PSUBSET" > "HOLLight.hollight.NOT_UNIV_PSUBSET"
  | 
| 
 | 
  1018  | 
  "NOT_SUC" > "Nat.nat.simps_1"
  | 
| 
 | 
  1019  | 
  "NOT_PSUBSET_EMPTY" > "HOLLight.hollight.NOT_PSUBSET_EMPTY"
  | 
| 
 | 
  1020  | 
  "NOT_ODD" > "HOLLight.hollight.NOT_ODD"
  | 
| 
 | 
  1021  | 
  "NOT_LT" > "HOLLight.hollight.NOT_LT"
  | 
| 
 | 
  1022  | 
  "NOT_LE" > "HOLLight.hollight.NOT_LE"
  | 
| 
 | 
  1023  | 
  "NOT_IN_EMPTY" > "HOLLight.hollight.NOT_IN_EMPTY"
  | 
| 
 | 
  1024  | 
  "NOT_INSERT_EMPTY" > "HOLLight.hollight.NOT_INSERT_EMPTY"
  | 
| 
 | 
  1025  | 
  "NOT_FORALL_THM" > "Inductive.basic_monos_15"
  | 
| 
 | 
  1026  | 
  "NOT_EXISTS_THM" > "Inductive.basic_monos_16"
  | 
| 
 | 
  1027  | 
  "NOT_EX" > "HOLLight.hollight.NOT_EX"
  | 
| 
 | 
  1028  | 
  "NOT_EVEN" > "HOLLight.hollight.NOT_EVEN"
  | 
| 
 | 
  1029  | 
  "NOT_EQUAL_SETS" > "HOLLight.hollight.NOT_EQUAL_SETS"
  | 
| 
 | 
  1030  | 
  "NOT_EMPTY_INSERT" > "HOLLight.hollight.NOT_EMPTY_INSERT"
  | 
| 
 | 
  1031  | 
  "NOT_CONS_NIL" > "HOLLight.hollight.NOT_CONS_NIL"
  | 
| 
 | 
  1032  | 
  "NOT_CLAUSES_WEAK" > "HOLLight.hollight.NOT_CLAUSES_WEAK"
  | 
| 
 | 
  1033  | 
  "NOT_ALL" > "HOLLight.hollight.NOT_ALL"
  | 
| 
 | 
  1034  | 
  "NONE_def" > "HOLLight.hollight.NONE_def"
  | 
| 
 | 
  1035  | 
  "NIL_def" > "HOLLight.hollight.NIL_def"
  | 
| 
 | 
  1036  | 
  "NEUTRAL_REAL_MUL" > "HOLLight.hollight.NEUTRAL_REAL_MUL"
  | 
| 
 | 
  1037  | 
  "NEUTRAL_REAL_ADD" > "HOLLight.hollight.NEUTRAL_REAL_ADD"
  | 
| 
 | 
  1038  | 
  "NEUTRAL_MUL" > "HOLLight.hollight.NEUTRAL_MUL"
  | 
| 
 | 
  1039  | 
  "NEUTRAL_ADD" > "HOLLight.hollight.NEUTRAL_ADD"
  | 
| 
 | 
  1040  | 
  "NADD_UBOUND" > "HOLLight.hollight.NADD_UBOUND"
  | 
| 
 | 
  1041  | 
  "NADD_SUC" > "HOLLight.hollight.NADD_SUC"
  | 
| 
 | 
  1042  | 
  "NADD_RDISTRIB" > "HOLLight.hollight.NADD_RDISTRIB"
  | 
| 
 | 
  1043  | 
  "NADD_OF_NUM_WELLDEF" > "HOLLight.hollight.NADD_OF_NUM_WELLDEF"
  | 
| 
 | 
  1044  | 
  "NADD_OF_NUM_MUL" > "HOLLight.hollight.NADD_OF_NUM_MUL"
  | 
| 
 | 
  1045  | 
  "NADD_OF_NUM_LE" > "HOLLight.hollight.NADD_OF_NUM_LE"
  | 
| 
 | 
  1046  | 
  "NADD_OF_NUM_EQ" > "HOLLight.hollight.NADD_OF_NUM_EQ"
  | 
| 
 | 
  1047  | 
  "NADD_OF_NUM_ADD" > "HOLLight.hollight.NADD_OF_NUM_ADD"
  | 
| 
 | 
  1048  | 
  "NADD_OF_NUM" > "HOLLight.hollight.NADD_OF_NUM"
  | 
| 
 | 
  1049  | 
  "NADD_NONZERO" > "HOLLight.hollight.NADD_NONZERO"
  | 
| 
 | 
  1050  | 
  "NADD_MUL_WELLDEF_LEMMA" > "HOLLight.hollight.NADD_MUL_WELLDEF_LEMMA"
  | 
| 
 | 
  1051  | 
  "NADD_MUL_WELLDEF" > "HOLLight.hollight.NADD_MUL_WELLDEF"
  | 
| 
 | 
  1052  | 
  "NADD_MUL_SYM" > "HOLLight.hollight.NADD_MUL_SYM"
  | 
| 
 | 
  1053  | 
  "NADD_MUL_LINV_LEMMA8" > "HOLLight.hollight.NADD_MUL_LINV_LEMMA8"
  | 
| 
 | 
  1054  | 
  "NADD_MUL_LINV_LEMMA7a" > "HOLLight.hollight.NADD_MUL_LINV_LEMMA7a"
  | 
| 
 | 
  1055  | 
  "NADD_MUL_LINV_LEMMA7" > "HOLLight.hollight.NADD_MUL_LINV_LEMMA7"
  | 
| 
 | 
  1056  | 
  "NADD_MUL_LINV_LEMMA6" > "HOLLight.hollight.NADD_MUL_LINV_LEMMA6"
  | 
| 
 | 
  1057  | 
  "NADD_MUL_LINV_LEMMA5" > "HOLLight.hollight.NADD_MUL_LINV_LEMMA5"
  | 
| 
 | 
  1058  | 
  "NADD_MUL_LINV_LEMMA4" > "HOLLight.hollight.NADD_MUL_LINV_LEMMA4"
  | 
| 
 | 
  1059  | 
  "NADD_MUL_LINV_LEMMA3" > "HOLLight.hollight.NADD_MUL_LINV_LEMMA3"
  | 
| 
 | 
  1060  | 
  "NADD_MUL_LINV_LEMMA2" > "HOLLight.hollight.NADD_MUL_LINV_LEMMA2"
  | 
| 
 | 
  1061  | 
  "NADD_MUL_LINV_LEMMA1" > "HOLLight.hollight.NADD_MUL_LINV_LEMMA1"
  | 
| 
 | 
  1062  | 
  "NADD_MUL_LINV_LEMMA0" > "HOLLight.hollight.NADD_MUL_LINV_LEMMA0"
  | 
| 
 | 
  1063  | 
  "NADD_MUL_LINV" > "HOLLight.hollight.NADD_MUL_LINV"
  | 
| 
 | 
  1064  | 
  "NADD_MUL_LID" > "HOLLight.hollight.NADD_MUL_LID"
  | 
| 
 | 
  1065  | 
  "NADD_MUL_ASSOC" > "HOLLight.hollight.NADD_MUL_ASSOC"
  | 
| 
 | 
  1066  | 
  "NADD_MULTIPLICATIVE" > "HOLLight.hollight.NADD_MULTIPLICATIVE"
  | 
| 
 | 
  1067  | 
  "NADD_MUL" > "HOLLight.hollight.NADD_MUL"
  | 
| 
 | 
  1068  | 
  "NADD_LE_WELLDEF_LEMMA" > "HOLLight.hollight.NADD_LE_WELLDEF_LEMMA"
  | 
| 
 | 
  1069  | 
  "NADD_LE_WELLDEF" > "HOLLight.hollight.NADD_LE_WELLDEF"
  | 
| 
 | 
  1070  | 
  "NADD_LE_TRANS" > "HOLLight.hollight.NADD_LE_TRANS"
  | 
| 
 | 
  1071  | 
  "NADD_LE_TOTAL_LEMMA" > "HOLLight.hollight.NADD_LE_TOTAL_LEMMA"
  | 
| 
 | 
  1072  | 
  "NADD_LE_TOTAL" > "HOLLight.hollight.NADD_LE_TOTAL"
  | 
| 
 | 
  1073  | 
  "NADD_LE_RMUL" > "HOLLight.hollight.NADD_LE_RMUL"
  | 
| 
 | 
  1074  | 
  "NADD_LE_REFL" > "HOLLight.hollight.NADD_LE_REFL"
  | 
| 
 | 
  1075  | 
  "NADD_LE_RADD" > "HOLLight.hollight.NADD_LE_RADD"
  | 
| 
 | 
  1076  | 
  "NADD_LE_LMUL" > "HOLLight.hollight.NADD_LE_LMUL"
  | 
| 
 | 
  1077  | 
  "NADD_LE_LADD" > "HOLLight.hollight.NADD_LE_LADD"
  | 
| 
 | 
  1078  | 
  "NADD_LE_EXISTS" > "HOLLight.hollight.NADD_LE_EXISTS"
  | 
| 
 | 
  1079  | 
  "NADD_LE_ANTISYM" > "HOLLight.hollight.NADD_LE_ANTISYM"
  | 
| 
 | 
  1080  | 
  "NADD_LE_ADD" > "HOLLight.hollight.NADD_LE_ADD"
  | 
| 
 | 
  1081  | 
  "NADD_LE_0" > "HOLLight.hollight.NADD_LE_0"
  | 
| 
 | 
  1082  | 
  "NADD_LDISTRIB" > "HOLLight.hollight.NADD_LDISTRIB"
  | 
| 
 | 
  1083  | 
  "NADD_LBOUND" > "HOLLight.hollight.NADD_LBOUND"
  | 
| 
 | 
  1084  | 
  "NADD_INV_WELLDEF" > "HOLLight.hollight.NADD_INV_WELLDEF"
  | 
| 
 | 
  1085  | 
  "NADD_INV_0" > "HOLLight.hollight.NADD_INV_0"
  | 
| 
 | 
  1086  | 
  "NADD_INV" > "HOLLight.hollight.NADD_INV"
  | 
| 
 | 
  1087  | 
  "NADD_EQ_TRANS" > "HOLLight.hollight.NADD_EQ_TRANS"
  | 
| 
 | 
  1088  | 
  "NADD_EQ_SYM" > "HOLLight.hollight.NADD_EQ_SYM"
  | 
| 
 | 
  1089  | 
  "NADD_EQ_REFL" > "HOLLight.hollight.NADD_EQ_REFL"
  | 
| 
 | 
  1090  | 
  "NADD_EQ_IMP_LE" > "HOLLight.hollight.NADD_EQ_IMP_LE"
  | 
| 
 | 
  1091  | 
  "NADD_DIST_LEMMA" > "HOLLight.hollight.NADD_DIST_LEMMA"
  | 
| 
 | 
  1092  | 
  "NADD_DIST" > "HOLLight.hollight.NADD_DIST"
  | 
| 
 | 
  1093  | 
  "NADD_COMPLETE" > "HOLLight.hollight.NADD_COMPLETE"
  | 
| 
 | 
  1094  | 
  "NADD_CAUCHY" > "HOLLight.hollight.NADD_CAUCHY"
  | 
| 
 | 
  1095  | 
  "NADD_BOUND" > "HOLLight.hollight.NADD_BOUND"
  | 
| 
 | 
  1096  | 
  "NADD_ARCH_ZERO" > "HOLLight.hollight.NADD_ARCH_ZERO"
  | 
| 
 | 
  1097  | 
  "NADD_ARCH_MULT" > "HOLLight.hollight.NADD_ARCH_MULT"
  | 
| 
 | 
  1098  | 
  "NADD_ARCH_LEMMA" > "HOLLight.hollight.NADD_ARCH_LEMMA"
  | 
| 
 | 
  1099  | 
  "NADD_ARCH" > "HOLLight.hollight.NADD_ARCH"
  | 
| 
 | 
  1100  | 
  "NADD_ALTMUL" > "HOLLight.hollight.NADD_ALTMUL"
  | 
| 
 | 
  1101  | 
  "NADD_ADD_WELLDEF" > "HOLLight.hollight.NADD_ADD_WELLDEF"
  | 
| 
 | 
  1102  | 
  "NADD_ADD_SYM" > "HOLLight.hollight.NADD_ADD_SYM"
  | 
| 
 | 
  1103  | 
  "NADD_ADD_LID" > "HOLLight.hollight.NADD_ADD_LID"
  | 
| 
 | 
  1104  | 
  "NADD_ADD_LCANCEL" > "HOLLight.hollight.NADD_ADD_LCANCEL"
  | 
| 
 | 
  1105  | 
  "NADD_ADD_ASSOC" > "HOLLight.hollight.NADD_ADD_ASSOC"
  | 
| 
 | 
  1106  | 
  "NADD_ADDITIVE" > "HOLLight.hollight.NADD_ADDITIVE"
  | 
| 
 | 
  1107  | 
  "NADD_ADD" > "HOLLight.hollight.NADD_ADD"
  | 
| 
25930
 | 
  1108  | 
  "MULT_SYM" > "Int.zmult_ac_2"
  | 
| 
17644
 | 
  1109  | 
  "MULT_SUC" > "Nat.mult_Suc_right"
  | 
| 
 | 
  1110  | 
  "MULT_EXP" > "HOLLight.hollight.MULT_EXP"
  | 
| 
 | 
  1111  | 
  "MULT_EQ_1" > "HOLLight.hollight.MULT_EQ_1"
  | 
| 
 | 
  1112  | 
  "MULT_EQ_0" > "Nat.mult_is_0"
  | 
| 
 | 
  1113  | 
  "MULT_CLAUSES" > "HOLLight.hollight.MULT_CLAUSES"
  | 
| 
25930
 | 
  1114  | 
  "MULT_ASSOC" > "Int.zmult_ac_1"
  | 
| 
17644
 | 
  1115  | 
  "MULT_AC" > "HOLLight.hollight.MULT_AC"
  | 
| 
 | 
  1116  | 
  "MULT_2" > "HOLLight.hollight.MULT_2"
  | 
| 
 | 
  1117  | 
  "MULT_0" > "Nat.mult_0_right"
  | 
| 
 | 
  1118  | 
  "MONO_FORALL" > "Inductive.basic_monos_6"
  | 
| 
 | 
  1119  | 
  "MONO_EXISTS" > "Inductive.basic_monos_5"
  | 
| 
 | 
  1120  | 
  "MONO_COND" > "HOLLight.hollight.MONO_COND"
  | 
| 
 | 
  1121  | 
  "MONO_ALL2" > "HOLLight.hollight.MONO_ALL2"
  | 
| 
 | 
  1122  | 
  "MONO_ALL" > "HOLLight.hollight.MONO_ALL"
  | 
| 
 | 
  1123  | 
  "MONOIDAL_REAL_MUL" > "HOLLight.hollight.MONOIDAL_REAL_MUL"
  | 
| 
 | 
  1124  | 
  "MONOIDAL_REAL_ADD" > "HOLLight.hollight.MONOIDAL_REAL_ADD"
  | 
| 
 | 
  1125  | 
  "MONOIDAL_MUL" > "HOLLight.hollight.MONOIDAL_MUL"
  | 
| 
 | 
  1126  | 
  "MONOIDAL_ADD" > "HOLLight.hollight.MONOIDAL_ADD"
  | 
| 
 | 
  1127  | 
  "MOD_def" > "HOLLight.hollight.MOD_def"
  | 
| 
 | 
  1128  | 
  "MOD_UNIQ" > "HOLLight.hollight.MOD_UNIQ"
  | 
| 
 | 
  1129  | 
  "MOD_MULT_RMOD" > "HOLLight.hollight.MOD_MULT_RMOD"
  | 
| 
 | 
  1130  | 
  "MOD_MULT_MOD2" > "HOLLight.hollight.MOD_MULT_MOD2"
  | 
| 
 | 
  1131  | 
  "MOD_MULT_LMOD" > "HOLLight.hollight.MOD_MULT_LMOD"
  | 
| 
 | 
  1132  | 
  "MOD_MULT_ADD" > "HOLLight.hollight.MOD_MULT_ADD"
  | 
| 
 | 
  1133  | 
  "MOD_MULT2" > "HOLLight.hollight.MOD_MULT2"
  | 
| 
 | 
  1134  | 
  "MOD_MULT" > "HOLLight.hollight.MOD_MULT"
  | 
| 
 | 
  1135  | 
  "MOD_MOD_REFL" > "HOLLight.hollight.MOD_MOD_REFL"
  | 
| 
 | 
  1136  | 
  "MOD_MOD" > "HOLLight.hollight.MOD_MOD"
  | 
| 
 | 
  1137  | 
  "MOD_LT" > "HOLLight.hollight.MOD_LT"
  | 
| 
 | 
  1138  | 
  "MOD_LE" > "HOLLight.hollight.MOD_LE"
  | 
| 
 | 
  1139  | 
  "MOD_EXP_MOD" > "HOLLight.hollight.MOD_EXP_MOD"
  | 
| 
 | 
  1140  | 
  "MOD_EXISTS" > "HOLLight.hollight.MOD_EXISTS"
  | 
| 
 | 
  1141  | 
  "MOD_EQ_0" > "HOLLight.hollight.MOD_EQ_0"
  | 
| 
 | 
  1142  | 
  "MOD_EQ" > "HOLLight.hollight.MOD_EQ"
  | 
| 
 | 
  1143  | 
  "MOD_ADD_MOD" > "HOLLight.hollight.MOD_ADD_MOD"
  | 
| 
 | 
  1144  | 
  "MOD_1" > "HOLLight.hollight.MOD_1"
  | 
| 
 | 
  1145  | 
  "MOD_0" > "HOLLight.hollight.MOD_0"
  | 
| 
 | 
  1146  | 
  "MK_REC_INJ" > "HOLLight.hollight.MK_REC_INJ"
  | 
| 
 | 
  1147  | 
  "MINIMAL" > "HOLLight.hollight.MINIMAL"
  | 
| 
 | 
  1148  | 
  "MEM_def" > "HOLLight.hollight.MEM_def"
  | 
| 
 | 
  1149  | 
  "MEM_MAP" > "HOLLight.hollight.MEM_MAP"
  | 
| 
 | 
  1150  | 
  "MEM_LIST_OF_SET" > "HOLLight.hollight.MEM_LIST_OF_SET"
  | 
| 
 | 
  1151  | 
  "MEM_FILTER" > "HOLLight.hollight.MEM_FILTER"
  | 
| 
 | 
  1152  | 
  "MEM_EL" > "HOLLight.hollight.MEM_EL"
  | 
| 
 | 
  1153  | 
  "MEM_ASSOC" > "HOLLight.hollight.MEM_ASSOC"
  | 
| 
 | 
  1154  | 
  "MEM_APPEND" > "HOLLight.hollight.MEM_APPEND"
  | 
| 
 | 
  1155  | 
  "MEMBER_NOT_EMPTY" > "HOLLight.hollight.MEMBER_NOT_EMPTY"
  | 
| 
 | 
  1156  | 
  "MEASURE_LE" > "HOLLight.hollight.MEASURE_LE"
  | 
| 
 | 
  1157  | 
  "MAP_o" > "HOLLight.hollight.MAP_o"
  | 
| 
 | 
  1158  | 
  "MAP_def" > "HOLLight.hollight.MAP_def"
  | 
| 
 | 
  1159  | 
  "MAP_SND_ZIP" > "HOLLight.hollight.MAP_SND_ZIP"
  | 
| 
 | 
  1160  | 
  "MAP_FST_ZIP" > "HOLLight.hollight.MAP_FST_ZIP"
  | 
| 
 | 
  1161  | 
  "MAP_EQ_DEGEN" > "HOLLight.hollight.MAP_EQ_DEGEN"
  | 
| 
 | 
  1162  | 
  "MAP_EQ_ALL2" > "HOLLight.hollight.MAP_EQ_ALL2"
  | 
| 
 | 
  1163  | 
  "MAP_EQ" > "HOLLight.hollight.MAP_EQ"
  | 
| 
 | 
  1164  | 
  "MAP_APPEND" > "HOLLight.hollight.MAP_APPEND"
  | 
| 
 | 
  1165  | 
  "MAP2_def" > "HOLLight.hollight.MAP2_def"
  | 
| 
 | 
  1166  | 
  "MAP2" > "HOLLight.hollight.MAP2"
  | 
| 
 | 
  1167  | 
  "LT_TRANS" > "HOLLight.hollight.LT_TRANS"
  | 
| 
 | 
  1168  | 
  "LT_SUC_LE" > "HOLLight.hollight.LT_SUC_LE"
  | 
| 
 | 
  1169  | 
  "LT_SUC" > "HOLLight.hollight.LT_SUC"
  | 
| 
 | 
  1170  | 
  "LT_REFL" > "HOLLight.hollight.LT_REFL"
  | 
| 
 | 
  1171  | 
  "LT_NZ" > "HOLLight.hollight.LT_NZ"
  | 
| 
 | 
  1172  | 
  "LT_MULT_RCANCEL" > "HOLLight.hollight.LT_MULT_RCANCEL"
  | 
| 
 | 
  1173  | 
  "LT_MULT_LCANCEL" > "HOLLight.hollight.LT_MULT_LCANCEL"
  | 
| 
 | 
  1174  | 
  "LT_MULT2" > "HOLLight.hollight.LT_MULT2"
  | 
| 
 | 
  1175  | 
  "LT_MULT" > "HOLLight.hollight.LT_MULT"
  | 
| 
 | 
  1176  | 
  "LT_LMULT" > "HOLLight.hollight.LT_LMULT"
  | 
| 
 | 
  1177  | 
  "LT_LE" > "HOLLight.hollight.LT_LE"
  | 
| 
 | 
  1178  | 
  "LT_IMP_LE" > "HOLLight.hollight.LT_IMP_LE"
  | 
| 
 | 
  1179  | 
  "LT_EXP" > "HOLLight.hollight.LT_EXP"
  | 
| 
 | 
  1180  | 
  "LT_EXISTS" > "HOLLight.hollight.LT_EXISTS"
  | 
| 
 | 
  1181  | 
  "LT_CASES" > "HOLLight.hollight.LT_CASES"
  | 
| 
 | 
  1182  | 
  "LT_ANTISYM" > "HOLLight.hollight.LT_ANTISYM"
  | 
| 
 | 
  1183  | 
  "LT_ADD_RCANCEL" > "HOLLight.hollight.LT_ADD_RCANCEL"
  | 
| 
 | 
  1184  | 
  "LT_ADD_LCANCEL" > "HOLLight.hollight.LT_ADD_LCANCEL"
  | 
| 
 | 
  1185  | 
  "LT_ADDR" > "HOLLight.hollight.LT_ADDR"
  | 
| 
 | 
  1186  | 
  "LT_ADD2" > "HOLLight.hollight.LT_ADD2"
  | 
| 
 | 
  1187  | 
  "LT_ADD" > "HOLLight.hollight.LT_ADD"
  | 
| 
 | 
  1188  | 
  "LT_0" > "HOLLight.hollight.LT_0"
  | 
| 
 | 
  1189  | 
  "LTE_TRANS" > "HOLLight.hollight.LTE_TRANS"
  | 
| 
 | 
  1190  | 
  "LTE_CASES" > "HOLLight.hollight.LTE_CASES"
  | 
| 
 | 
  1191  | 
  "LTE_ANTISYM" > "HOLLight.hollight.LTE_ANTISYM"
  | 
| 
 | 
  1192  | 
  "LTE_ADD2" > "HOLLight.hollight.LTE_ADD2"
  | 
| 
 | 
  1193  | 
  "LIST_OF_SET_PROPERTIES" > "HOLLight.hollight.LIST_OF_SET_PROPERTIES"
  | 
| 
 | 
  1194  | 
  "LE_TRANS" > "HOLLight.hollight.LE_TRANS"
  | 
| 
 | 
  1195  | 
  "LE_SUC_LT" > "HOLLight.hollight.LE_SUC_LT"
  | 
| 
 | 
  1196  | 
  "LE_SUC" > "HOLLight.hollight.LE_SUC"
  | 
| 
 | 
  1197  | 
  "LE_SQUARE_REFL" > "HOLLight.hollight.LE_SQUARE_REFL"
  | 
| 
 | 
  1198  | 
  "LE_REFL" > "HOLLight.hollight.LE_REFL"
  | 
| 
 | 
  1199  | 
  "LE_RDIV_EQ" > "HOLLight.hollight.LE_RDIV_EQ"
  | 
| 
 | 
  1200  | 
  "LE_MULT_RCANCEL" > "HOLLight.hollight.LE_MULT_RCANCEL"
  | 
| 
 | 
  1201  | 
  "LE_MULT_LCANCEL" > "HOLLight.hollight.LE_MULT_LCANCEL"
  | 
| 
 | 
  1202  | 
  "LE_MULT2" > "HOLLight.hollight.LE_MULT2"
  | 
| 
 | 
  1203  | 
  "LE_LT" > "HOLLight.hollight.LE_LT"
  | 
| 
 | 
  1204  | 
  "LE_LDIV_EQ" > "HOLLight.hollight.LE_LDIV_EQ"
  | 
| 
 | 
  1205  | 
  "LE_LDIV" > "HOLLight.hollight.LE_LDIV"
  | 
| 
 | 
  1206  | 
  "LE_EXP" > "HOLLight.hollight.LE_EXP"
  | 
| 
 | 
  1207  | 
  "LE_EXISTS" > "HOLLight.hollight.LE_EXISTS"
  | 
| 
 | 
  1208  | 
  "LE_CASES" > "HOLLight.hollight.LE_CASES"
  | 
| 
 | 
  1209  | 
  "LE_ANTISYM" > "HOLLight.hollight.LE_ANTISYM"
  | 
| 
 | 
  1210  | 
  "LE_ADD_RCANCEL" > "HOLLight.hollight.LE_ADD_RCANCEL"
  | 
| 
 | 
  1211  | 
  "LE_ADD_LCANCEL" > "HOLLight.hollight.LE_ADD_LCANCEL"
  | 
| 
 | 
  1212  | 
  "LE_ADDR" > "HOLLight.hollight.LE_ADDR"
  | 
| 
 | 
  1213  | 
  "LE_ADD2" > "HOLLight.hollight.LE_ADD2"
  | 
| 
 | 
  1214  | 
  "LE_ADD" > "HOLLight.hollight.LE_ADD"
  | 
| 
 | 
  1215  | 
  "LE_0" > "HOLLight.hollight.LE_0"
  | 
| 
 | 
  1216  | 
  "LET_TRANS" > "HOLLight.hollight.LET_TRANS"
  | 
| 
 | 
  1217  | 
  "LET_END_def" > "HOLLight.hollight.LET_END_def"
  | 
| 
 | 
  1218  | 
  "LET_CASES" > "HOLLight.hollight.LET_CASES"
  | 
| 
 | 
  1219  | 
  "LET_ANTISYM" > "HOLLight.hollight.LET_ANTISYM"
  | 
| 
 | 
  1220  | 
  "LET_ADD2" > "HOLLight.hollight.LET_ADD2"
  | 
| 
 | 
  1221  | 
  "LENGTH_def" > "HOLLight.hollight.LENGTH_def"
  | 
| 
 | 
  1222  | 
  "LENGTH_REPLICATE" > "HOLLight.hollight.LENGTH_REPLICATE"
  | 
| 
 | 
  1223  | 
  "LENGTH_MAP2" > "HOLLight.hollight.LENGTH_MAP2"
  | 
| 
 | 
  1224  | 
  "LENGTH_MAP" > "HOLLight.hollight.LENGTH_MAP"
  | 
| 
 | 
  1225  | 
  "LENGTH_LIST_OF_SET" > "HOLLight.hollight.LENGTH_LIST_OF_SET"
  | 
| 
 | 
  1226  | 
  "LENGTH_EQ_NIL" > "HOLLight.hollight.LENGTH_EQ_NIL"
  | 
| 
 | 
  1227  | 
  "LENGTH_EQ_CONS" > "HOLLight.hollight.LENGTH_EQ_CONS"
  | 
| 
 | 
  1228  | 
  "LENGTH_APPEND" > "HOLLight.hollight.LENGTH_APPEND"
  | 
| 
 | 
  1229  | 
  "LEFT_SUB_DISTRIB" > "Nat.nat_distrib_4"
  | 
| 
 | 
  1230  | 
  "LEFT_OR_FORALL_THM" > "HOL.all_simps_3"
  | 
| 
 | 
  1231  | 
  "LEFT_OR_EXISTS_THM" > "HOL.ex_simps_3"
  | 
| 
 | 
  1232  | 
  "LEFT_OR_DISTRIB" > "HOL.conj_disj_distribL"
  | 
| 
 | 
  1233  | 
  "LEFT_IMP_FORALL_THM" > "HOL.imp_all"
  | 
| 
 | 
  1234  | 
  "LEFT_IMP_EXISTS_THM" > "HOL.imp_ex"
  | 
| 
 | 
  1235  | 
  "LEFT_FORALL_OR_THM" > "HOL.all_simps_3"
  | 
| 
 | 
  1236  | 
  "LEFT_FORALL_IMP_THM" > "HOL.imp_ex"
  | 
| 
 | 
  1237  | 
  "LEFT_EXISTS_IMP_THM" > "HOL.imp_all"
  | 
| 
 | 
  1238  | 
  "LEFT_EXISTS_AND_THM" > "HOL.ex_simps_1"
  | 
| 
 | 
  1239  | 
  "LEFT_AND_FORALL_THM" > "HOL.all_simps_1"
  | 
| 
 | 
  1240  | 
  "LEFT_AND_EXISTS_THM" > "HOL.ex_simps_1"
  | 
| 
 | 
  1241  | 
  "LEFT_ADD_DISTRIB" > "Nat.nat_distrib_2"
  | 
| 
 | 
  1242  | 
  "LAST_def" > "HOLLight.hollight.LAST_def"
  | 
| 
 | 
  1243  | 
  "LAST_CLAUSES" > "HOLLight.hollight.LAST_CLAUSES"
  | 
| 
 | 
  1244  | 
  "LAMBDA_UNIQUE" > "HOLLight.hollight.LAMBDA_UNIQUE"
  | 
| 
 | 
  1245  | 
  "LAMBDA_ETA" > "HOLLight.hollight.LAMBDA_ETA"
  | 
| 
 | 
  1246  | 
  "LAMBDA_BETA" > "HOLLight.hollight.LAMBDA_BETA"
  | 
| 
 | 
  1247  | 
  "I_THM" > "Fun.id_apply"
  | 
| 
 | 
  1248  | 
  "I_O_ID" > "HOLLight.hollight.I_O_ID"
  | 
| 
 | 
  1249  | 
  "ITSET_def" > "HOLLight.hollight.ITSET_def"
  | 
| 
 | 
  1250  | 
  "ITSET_EQ" > "HOLLight.hollight.ITSET_EQ"
  | 
| 
 | 
  1251  | 
  "ITLIST_def" > "HOLLight.hollight.ITLIST_def"
  | 
| 
 | 
  1252  | 
  "ITLIST_EXTRA" > "HOLLight.hollight.ITLIST_EXTRA"
  | 
| 
 | 
  1253  | 
  "ITLIST2_def" > "HOLLight.hollight.ITLIST2_def"
  | 
| 
 | 
  1254  | 
  "ITLIST2" > "HOLLight.hollight.ITLIST2"
  | 
| 
 | 
  1255  | 
  "ITERATE_UNION_GEN" > "HOLLight.hollight.ITERATE_UNION_GEN"
  | 
| 
 | 
  1256  | 
  "ITERATE_UNION" > "HOLLight.hollight.ITERATE_UNION"
  | 
| 
 | 
  1257  | 
  "ITERATE_SUPPORT" > "HOLLight.hollight.ITERATE_SUPPORT"
  | 
| 
 | 
  1258  | 
  "ITERATE_SING" > "HOLLight.hollight.ITERATE_SING"
  | 
| 
 | 
  1259  | 
  "ITERATE_RELATED" > "HOLLight.hollight.ITERATE_RELATED"
  | 
| 
19093
 | 
  1260  | 
  "ITERATE_ITERATE_PRODUCT" > "HOLLight.hollight.ITERATE_ITERATE_PRODUCT"
  | 
| 
17644
 | 
  1261  | 
  "ITERATE_IMAGE" > "HOLLight.hollight.ITERATE_IMAGE"
  | 
| 
 | 
  1262  | 
  "ITERATE_EQ_NEUTRAL" > "HOLLight.hollight.ITERATE_EQ_NEUTRAL"
  | 
| 
19093
 | 
  1263  | 
  "ITERATE_EQ_GENERAL" > "HOLLight.hollight.ITERATE_EQ_GENERAL"
  | 
| 
 | 
  1264  | 
  "ITERATE_EQ" > "HOLLight.hollight.ITERATE_EQ"
  | 
| 
17644
 | 
  1265  | 
  "ITERATE_DIFF_GEN" > "HOLLight.hollight.ITERATE_DIFF_GEN"
  | 
| 
 | 
  1266  | 
  "ITERATE_DIFF" > "HOLLight.hollight.ITERATE_DIFF"
  | 
| 
 | 
  1267  | 
  "ITERATE_DELTA" > "HOLLight.hollight.ITERATE_DELTA"
  | 
| 
 | 
  1268  | 
  "ITERATE_CLOSED_GEN" > "HOLLight.hollight.ITERATE_CLOSED_GEN"
  | 
| 
 | 
  1269  | 
  "ITERATE_CLOSED" > "HOLLight.hollight.ITERATE_CLOSED"
  | 
| 
 | 
  1270  | 
  "ITERATE_CLAUSES_GEN" > "HOLLight.hollight.ITERATE_CLAUSES_GEN"
  | 
| 
 | 
  1271  | 
  "ITERATE_CLAUSES" > "HOLLight.hollight.ITERATE_CLAUSES"
  | 
| 
19093
 | 
  1272  | 
  "ITERATE_BIJECTION" > "HOLLight.hollight.ITERATE_BIJECTION"
  | 
| 
17644
 | 
  1273  | 
  "ISO_def" > "HOLLight.hollight.ISO_def"
  | 
| 
 | 
  1274  | 
  "ISO_USAGE" > "HOLLight.hollight.ISO_USAGE"
  | 
| 
 | 
  1275  | 
  "ISO_REFL" > "HOLLight.hollight.ISO_REFL"
  | 
| 
 | 
  1276  | 
  "ISO_FUN" > "HOLLight.hollight.ISO_FUN"
  | 
| 
 | 
  1277  | 
  "IN_def" > "HOLLight.hollight.IN_def"
  | 
| 
 | 
  1278  | 
  "IN_UNIV" > "HOLLight.hollight.IN_UNIV"
  | 
| 
 | 
  1279  | 
  "IN_UNIONS" > "HOLLight.hollight.IN_UNIONS"
  | 
| 
 | 
  1280  | 
  "IN_UNION" > "HOLLight.hollight.IN_UNION"
  | 
| 
 | 
  1281  | 
  "IN_SUPPORT" > "HOLLight.hollight.IN_SUPPORT"
  | 
| 
 | 
  1282  | 
  "IN_SING" > "HOLLight.hollight.IN_SING"
  | 
| 
 | 
  1283  | 
  "IN_SET_OF_LIST" > "HOLLight.hollight.IN_SET_OF_LIST"
  | 
| 
 | 
  1284  | 
  "IN_REST" > "HOLLight.hollight.IN_REST"
  | 
| 
 | 
  1285  | 
  "IN_NUMSEG" > "HOLLight.hollight.IN_NUMSEG"
  | 
| 
 | 
  1286  | 
  "IN_INTERS" > "HOLLight.hollight.IN_INTERS"
  | 
| 
 | 
  1287  | 
  "IN_INTER" > "HOLLight.hollight.IN_INTER"
  | 
| 
 | 
  1288  | 
  "IN_INSERT" > "HOLLight.hollight.IN_INSERT"
  | 
| 
 | 
  1289  | 
  "IN_IMAGE" > "HOLLight.hollight.IN_IMAGE"
  | 
| 
 | 
  1290  | 
  "IN_ELIM_THM" > "HOLLight.hollight.IN_ELIM_THM"
  | 
| 
19093
 | 
  1291  | 
  "IN_ELIM_PAIR_THM" > "HOLLight.hollight.IN_ELIM_PAIR_THM"
  | 
| 
17644
 | 
  1292  | 
  "IN_DISJOINT" > "HOLLight.hollight.IN_DISJOINT"
  | 
| 
 | 
  1293  | 
  "IN_DIFF" > "HOLLight.hollight.IN_DIFF"
  | 
| 
 | 
  1294  | 
  "IN_DELETE_EQ" > "HOLLight.hollight.IN_DELETE_EQ"
  | 
| 
 | 
  1295  | 
  "IN_DELETE" > "HOLLight.hollight.IN_DELETE"
  | 
| 
 | 
  1296  | 
  "INT_POW" > "HOLLight.hollight.INT_POW"
  | 
| 
 | 
  1297  | 
  "INT_LT_DISCRETE" > "HOLLight.hollight.INT_LT_DISCRETE"
  | 
| 
 | 
  1298  | 
  "INT_LT" > "HOLLight.hollight.INT_LT"
  | 
| 
 | 
  1299  | 
  "INT_IMAGE" > "HOLLight.hollight.INT_IMAGE"
  | 
| 
 | 
  1300  | 
  "INT_GT_DISCRETE" > "HOLLight.hollight.INT_GT_DISCRETE"
  | 
| 
 | 
  1301  | 
  "INT_GT" > "HOLLight.hollight.INT_GT"
  | 
| 
 | 
  1302  | 
  "INT_GE" > "HOLLight.hollight.INT_GE"
  | 
| 
 | 
  1303  | 
  "INT_FORALL_POS" > "HOLLight.hollight.INT_FORALL_POS"
  | 
| 
 | 
  1304  | 
  "INT_ARCH" > "HOLLight.hollight.INT_ARCH"
  | 
| 
 | 
  1305  | 
  "INT_ABS_MUL_1" > "HOLLight.hollight.INT_ABS_MUL_1"
  | 
| 
 | 
  1306  | 
  "INT_ABS" > "HOLLight.hollight.INT_ABS"
  | 
| 
 | 
  1307  | 
  "INTER_def" > "HOLLight.hollight.INTER_def"
  | 
| 
 | 
  1308  | 
  "INTER_UNIV" > "HOLLight.hollight.INTER_UNIV"
  | 
| 
 | 
  1309  | 
  "INTER_SUBSET" > "HOLLight.hollight.INTER_SUBSET"
  | 
| 
 | 
  1310  | 
  "INTER_OVER_UNION" > "HOLLight.hollight.INTER_OVER_UNION"
  | 
| 
 | 
  1311  | 
  "INTER_IDEMPOT" > "HOLLight.hollight.INTER_IDEMPOT"
  | 
| 
 | 
  1312  | 
  "INTER_EMPTY" > "HOLLight.hollight.INTER_EMPTY"
  | 
| 
 | 
  1313  | 
  "INTER_COMM" > "HOLLight.hollight.INTER_COMM"
  | 
| 
 | 
  1314  | 
  "INTER_ASSOC" > "HOLLight.hollight.INTER_ASSOC"
  | 
| 
 | 
  1315  | 
  "INTER_ACI" > "HOLLight.hollight.INTER_ACI"
  | 
| 
 | 
  1316  | 
  "INTERS_def" > "HOLLight.hollight.INTERS_def"
  | 
| 
19093
 | 
  1317  | 
  "INTERS_INSERT" > "HOLLight.hollight.INTERS_INSERT"
  | 
| 
 | 
  1318  | 
  "INTERS_2" > "HOLLight.hollight.INTERS_2"
  | 
| 
 | 
  1319  | 
  "INTERS_1" > "HOLLight.hollight.INTERS_1"
  | 
| 
 | 
  1320  | 
  "INTERS_0" > "HOLLight.hollight.INTERS_0"
  | 
| 
17644
 | 
  1321  | 
  "INSERT_def" > "HOLLight.hollight.INSERT_def"
  | 
| 
 | 
  1322  | 
  "INSERT_UNIV" > "HOLLight.hollight.INSERT_UNIV"
  | 
| 
 | 
  1323  | 
  "INSERT_UNION_EQ" > "HOLLight.hollight.INSERT_UNION_EQ"
  | 
| 
 | 
  1324  | 
  "INSERT_UNION" > "HOLLight.hollight.INSERT_UNION"
  | 
| 
 | 
  1325  | 
  "INSERT_SUBSET" > "HOLLight.hollight.INSERT_SUBSET"
  | 
| 
 | 
  1326  | 
  "INSERT_INTER" > "HOLLight.hollight.INSERT_INTER"
  | 
| 
 | 
  1327  | 
  "INSERT_INSERT" > "HOLLight.hollight.INSERT_INSERT"
  | 
| 
 | 
  1328  | 
  "INSERT_DIFF" > "HOLLight.hollight.INSERT_DIFF"
  | 
| 
 | 
  1329  | 
  "INSERT_DELETE" > "HOLLight.hollight.INSERT_DELETE"
  | 
| 
 | 
  1330  | 
  "INSERT_COMM" > "HOLLight.hollight.INSERT_COMM"
  | 
| 
 | 
  1331  | 
  "INSERT_AC" > "HOLLight.hollight.INSERT_AC"
  | 
| 
 | 
  1332  | 
  "INSERT" > "HOLLight.hollight.INSERT"
  | 
| 
 | 
  1333  | 
  "INJ_def" > "HOLLight.hollight.INJ_def"
  | 
| 
 | 
  1334  | 
  "INJ_INVERSE2" > "HOLLight.hollight.INJ_INVERSE2"
  | 
| 
 | 
  1335  | 
  "INJP_def" > "HOLLight.hollight.INJP_def"
  | 
| 
 | 
  1336  | 
  "INJP_INJ" > "HOLLight.hollight.INJP_INJ"
  | 
| 
 | 
  1337  | 
  "INJN_def" > "HOLLight.hollight.INJN_def"
  | 
| 
 | 
  1338  | 
  "INJN_INJ" > "HOLLight.hollight.INJN_INJ"
  | 
| 
 | 
  1339  | 
  "INJF_def" > "HOLLight.hollight.INJF_def"
  | 
| 
 | 
  1340  | 
  "INJF_INJ" > "HOLLight.hollight.INJF_INJ"
  | 
| 
 | 
  1341  | 
  "INJECTIVE_ON_LEFT_INVERSE" > "HOLLight.hollight.INJECTIVE_ON_LEFT_INVERSE"
  | 
| 
 | 
  1342  | 
  "INJECTIVE_LEFT_INVERSE" > "HOLLight.hollight.INJECTIVE_LEFT_INVERSE"
  | 
| 
 | 
  1343  | 
  "INJA_def" > "HOLLight.hollight.INJA_def"
  | 
| 
 | 
  1344  | 
  "INJA_INJ" > "HOLLight.hollight.INJA_INJ"
  | 
| 
 | 
  1345  | 
  "INFINITE_def" > "HOLLight.hollight.INFINITE_def"
  | 
| 
 | 
  1346  | 
  "INFINITE_NONEMPTY" > "HOLLight.hollight.INFINITE_NONEMPTY"
  | 
| 
 | 
  1347  | 
  "INFINITE_IMAGE_INJ" > "HOLLight.hollight.INFINITE_IMAGE_INJ"
  | 
| 
 | 
  1348  | 
  "INFINITE_DIFF_FINITE" > "HOLLight.hollight.INFINITE_DIFF_FINITE"
  | 
| 
 | 
  1349  | 
  "IMP_EQ_CLAUSE" > "HOLLight.hollight.IMP_EQ_CLAUSE"
  | 
| 
 | 
  1350  | 
  "IMP_CONJ" > "HOL.imp_conjL"
  | 
| 
 | 
  1351  | 
  "IMP_CLAUSES" > "HOLLight.hollight.IMP_CLAUSES"
  | 
| 
 | 
  1352  | 
  "IMAGE_o" > "HOLLight.hollight.IMAGE_o"
  | 
| 
 | 
  1353  | 
  "IMAGE_def" > "HOLLight.hollight.IMAGE_def"
  | 
| 
 | 
  1354  | 
  "IMAGE_UNION" > "HOLLight.hollight.IMAGE_UNION"
  | 
| 
 | 
  1355  | 
  "IMAGE_SUBSET" > "HOLLight.hollight.IMAGE_SUBSET"
  | 
| 
 | 
  1356  | 
  "IMAGE_IMP_INJECTIVE_GEN" > "HOLLight.hollight.IMAGE_IMP_INJECTIVE_GEN"
  | 
| 
 | 
  1357  | 
  "IMAGE_IMP_INJECTIVE" > "HOLLight.hollight.IMAGE_IMP_INJECTIVE"
  | 
| 
 | 
  1358  | 
  "IMAGE_EQ_EMPTY" > "HOLLight.hollight.IMAGE_EQ_EMPTY"
  | 
| 
 | 
  1359  | 
  "IMAGE_DIFF_INJ" > "HOLLight.hollight.IMAGE_DIFF_INJ"
  | 
| 
 | 
  1360  | 
  "IMAGE_DELETE_INJ" > "HOLLight.hollight.IMAGE_DELETE_INJ"
  | 
| 
 | 
  1361  | 
  "IMAGE_CONST" > "HOLLight.hollight.IMAGE_CONST"
  | 
| 
 | 
  1362  | 
  "IMAGE_CLAUSES" > "HOLLight.hollight.IMAGE_CLAUSES"
  | 
| 
 | 
  1363  | 
  "HREAL_MUL_RZERO" > "HOLLight.hollight.HREAL_MUL_RZERO"
  | 
| 
 | 
  1364  | 
  "HREAL_MUL_LZERO" > "HOLLight.hollight.HREAL_MUL_LZERO"
  | 
| 
 | 
  1365  | 
  "HREAL_LE_MUL_RCANCEL_IMP" > "HOLLight.hollight.HREAL_LE_MUL_RCANCEL_IMP"
  | 
| 
 | 
  1366  | 
  "HREAL_LE_EXISTS_DEF" > "HOLLight.hollight.HREAL_LE_EXISTS_DEF"
  | 
| 
 | 
  1367  | 
  "HREAL_LE_ADD_RCANCEL" > "HOLLight.hollight.HREAL_LE_ADD_RCANCEL"
  | 
| 
 | 
  1368  | 
  "HREAL_LE_ADD_LCANCEL" > "HOLLight.hollight.HREAL_LE_ADD_LCANCEL"
  | 
| 
 | 
  1369  | 
  "HREAL_LE_ADD2" > "HOLLight.hollight.HREAL_LE_ADD2"
  | 
| 
 | 
  1370  | 
  "HREAL_EQ_ADD_RCANCEL" > "HOLLight.hollight.HREAL_EQ_ADD_RCANCEL"
  | 
| 
 | 
  1371  | 
  "HREAL_EQ_ADD_LCANCEL" > "HOLLight.hollight.HREAL_EQ_ADD_LCANCEL"
  | 
| 
 | 
  1372  | 
  "HREAL_ADD_RID" > "HOLLight.hollight.HREAL_ADD_RID"
  | 
| 
 | 
  1373  | 
  "HREAL_ADD_RDISTRIB" > "HOLLight.hollight.HREAL_ADD_RDISTRIB"
  | 
| 
 | 
  1374  | 
  "HREAL_ADD_AC" > "HOLLight.hollight.HREAL_ADD_AC"
  | 
| 
 | 
  1375  | 
  "HD_def" > "HOLLight.hollight.HD_def"
  | 
| 
 | 
  1376  | 
  "HAS_SIZE_def" > "HOLLight.hollight.HAS_SIZE_def"
  | 
| 
 | 
  1377  | 
  "HAS_SIZE_UNIONS" > "HOLLight.hollight.HAS_SIZE_UNIONS"
  | 
| 
 | 
  1378  | 
  "HAS_SIZE_UNION" > "HOLLight.hollight.HAS_SIZE_UNION"
  | 
| 
 | 
  1379  | 
  "HAS_SIZE_SUC" > "HOLLight.hollight.HAS_SIZE_SUC"
  | 
| 
 | 
  1380  | 
  "HAS_SIZE_PRODUCT_DEPENDENT" > "HOLLight.hollight.HAS_SIZE_PRODUCT_DEPENDENT"
  | 
| 
 | 
  1381  | 
  "HAS_SIZE_PRODUCT" > "HOLLight.hollight.HAS_SIZE_PRODUCT"
  | 
| 
 | 
  1382  | 
  "HAS_SIZE_POWERSET" > "HOLLight.hollight.HAS_SIZE_POWERSET"
  | 
| 
 | 
  1383  | 
  "HAS_SIZE_NUMSEG_LT" > "HOLLight.hollight.HAS_SIZE_NUMSEG_LT"
  | 
| 
 | 
  1384  | 
  "HAS_SIZE_NUMSEG_LE" > "HOLLight.hollight.HAS_SIZE_NUMSEG_LE"
  | 
| 
 | 
  1385  | 
  "HAS_SIZE_NUMSEG_1" > "HOLLight.hollight.HAS_SIZE_NUMSEG_1"
  | 
| 
 | 
  1386  | 
  "HAS_SIZE_NUMSEG" > "HOLLight.hollight.HAS_SIZE_NUMSEG"
  | 
| 
 | 
  1387  | 
  "HAS_SIZE_INDEX" > "HOLLight.hollight.HAS_SIZE_INDEX"
  | 
| 
 | 
  1388  | 
  "HAS_SIZE_IMAGE_INJ" > "HOLLight.hollight.HAS_SIZE_IMAGE_INJ"
  | 
| 
 | 
  1389  | 
  "HAS_SIZE_FUNSPACE" > "HOLLight.hollight.HAS_SIZE_FUNSPACE"
  | 
| 
 | 
  1390  | 
  "HAS_SIZE_FINITE_IMAGE" > "HOLLight.hollight.HAS_SIZE_FINITE_IMAGE"
  | 
| 
 | 
  1391  | 
  "HAS_SIZE_CLAUSES" > "HOLLight.hollight.HAS_SIZE_CLAUSES"
  | 
| 
 | 
  1392  | 
  "HAS_SIZE_CARD" > "HOLLight.hollight.HAS_SIZE_CARD"
  | 
| 
 | 
  1393  | 
  "HAS_SIZE_0" > "HOLLight.hollight.HAS_SIZE_0"
  | 
| 
 | 
  1394  | 
  "GSPEC_def" > "HOLLight.hollight.GSPEC_def"
  | 
| 
 | 
  1395  | 
  "GEQ_def" > "HOLLight.hollight.GEQ_def"
  | 
| 
 | 
  1396  | 
  "GABS_def" > "HOLLight.hollight.GABS_def"
  | 
| 
 | 
  1397  | 
  "FUN_EQ_THM" > "Fun.expand_fun_eq"
  | 
| 
 | 
  1398  | 
  "FUNCTION_FACTORS_RIGHT" > "HOLLight.hollight.FUNCTION_FACTORS_RIGHT"
  | 
| 
 | 
  1399  | 
  "FUNCTION_FACTORS_LEFT" > "HOLLight.hollight.FUNCTION_FACTORS_LEFT"
  | 
| 
 | 
  1400  | 
  "FSTCART_PASTECART" > "HOLLight.hollight.FSTCART_PASTECART"
  | 
| 
 | 
  1401  | 
  "FST" > "Product_Type.fst_conv"
  | 
| 
 | 
  1402  | 
  "FORALL_SIMP" > "HOL.simp_thms_35"
  | 
| 
 | 
  1403  | 
  "FORALL_PASTECART" > "HOLLight.hollight.FORALL_PASTECART"
  | 
| 
 | 
  1404  | 
  "FORALL_PAIR_THM" > "Product_Type.split_paired_All"
  | 
| 
 | 
  1405  | 
  "FORALL_NOT_THM" > "Inductive.basic_monos_16"
  | 
| 
 | 
  1406  | 
  "FORALL_IN_UNIONS" > "HOLLight.hollight.FORALL_IN_UNIONS"
  | 
| 
 | 
  1407  | 
  "FORALL_IN_IMAGE" > "HOLLight.hollight.FORALL_IN_IMAGE"
  | 
| 
 | 
  1408  | 
  "FORALL_IN_CLAUSES" > "HOLLight.hollight.FORALL_IN_CLAUSES"
  | 
| 
 | 
  1409  | 
  "FORALL_FINITE_INDEX" > "HOLLight.hollight.FORALL_FINITE_INDEX"
  | 
| 
 | 
  1410  | 
  "FORALL_BOOL_THM" > "Set.all_bool_eq"
  | 
| 
 | 
  1411  | 
  "FORALL_AND_THM" > "HOL.all_conj_distrib"
  | 
| 
 | 
  1412  | 
  "FORALL_ALL" > "HOLLight.hollight.FORALL_ALL"
  | 
| 
 | 
  1413  | 
  "FNIL_def" > "HOLLight.hollight.FNIL_def"
  | 
| 
 | 
  1414  | 
  "FINREC_def" > "HOLLight.hollight.FINREC_def"
  | 
| 
 | 
  1415  | 
  "FINREC_UNIQUE_LEMMA" > "HOLLight.hollight.FINREC_UNIQUE_LEMMA"
  | 
| 
 | 
  1416  | 
  "FINREC_SUC_LEMMA" > "HOLLight.hollight.FINREC_SUC_LEMMA"
  | 
| 
 | 
  1417  | 
  "FINREC_FUN_LEMMA" > "HOLLight.hollight.FINREC_FUN_LEMMA"
  | 
| 
 | 
  1418  | 
  "FINREC_FUN" > "HOLLight.hollight.FINREC_FUN"
  | 
| 
 | 
  1419  | 
  "FINREC_EXISTS_LEMMA" > "HOLLight.hollight.FINREC_EXISTS_LEMMA"
  | 
| 
 | 
  1420  | 
  "FINREC_1_LEMMA" > "HOLLight.hollight.FINREC_1_LEMMA"
  | 
| 
 | 
  1421  | 
  "FINITE_def" > "HOLLight.hollight.FINITE_def"
  | 
| 
 | 
  1422  | 
  "FINITE_UNION_IMP" > "HOLLight.hollight.FINITE_UNION_IMP"
  | 
| 
 | 
  1423  | 
  "FINITE_UNIONS" > "HOLLight.hollight.FINITE_UNIONS"
  | 
| 
 | 
  1424  | 
  "FINITE_UNION" > "HOLLight.hollight.FINITE_UNION"
  | 
| 
 | 
  1425  | 
  "FINITE_SUPPORT_DELTA" > "HOLLight.hollight.FINITE_SUPPORT_DELTA"
  | 
| 
 | 
  1426  | 
  "FINITE_SUPPORT" > "HOLLight.hollight.FINITE_SUPPORT"
  | 
| 
 | 
  1427  | 
  "FINITE_SUBSET_IMAGE_IMP" > "HOLLight.hollight.FINITE_SUBSET_IMAGE_IMP"
  | 
| 
 | 
  1428  | 
  "FINITE_SUBSET_IMAGE" > "HOLLight.hollight.FINITE_SUBSET_IMAGE"
  | 
| 
 | 
  1429  | 
  "FINITE_SUBSETS" > "HOLLight.hollight.FINITE_SUBSETS"
  | 
| 
 | 
  1430  | 
  "FINITE_SUBSET" > "HOLLight.hollight.FINITE_SUBSET"
  | 
| 
 | 
  1431  | 
  "FINITE_SET_OF_LIST" > "HOLLight.hollight.FINITE_SET_OF_LIST"
  | 
| 
 | 
  1432  | 
  "FINITE_RESTRICT" > "HOLLight.hollight.FINITE_RESTRICT"
  | 
| 
 | 
  1433  | 
  "FINITE_RECURSION_DELETE" > "HOLLight.hollight.FINITE_RECURSION_DELETE"
  | 
| 
 | 
  1434  | 
  "FINITE_RECURSION" > "HOLLight.hollight.FINITE_RECURSION"
  | 
| 
 | 
  1435  | 
  "FINITE_PRODUCT_DEPENDENT" > "HOLLight.hollight.FINITE_PRODUCT_DEPENDENT"
  | 
| 
 | 
  1436  | 
  "FINITE_PRODUCT" > "HOLLight.hollight.FINITE_PRODUCT"
  | 
| 
 | 
  1437  | 
  "FINITE_POWERSET" > "HOLLight.hollight.FINITE_POWERSET"
  | 
| 
 | 
  1438  | 
  "FINITE_NUMSEG_LT" > "HOLLight.hollight.FINITE_NUMSEG_LT"
  | 
| 
 | 
  1439  | 
  "FINITE_NUMSEG_LE" > "HOLLight.hollight.FINITE_NUMSEG_LE"
  | 
| 
 | 
  1440  | 
  "FINITE_NUMSEG" > "HOLLight.hollight.FINITE_NUMSEG"
  | 
| 
 | 
  1441  | 
  "FINITE_INTER" > "HOLLight.hollight.FINITE_INTER"
  | 
| 
 | 
  1442  | 
  "FINITE_INSERT" > "HOLLight.hollight.FINITE_INSERT"
  | 
| 
 | 
  1443  | 
  "FINITE_INDUCT_STRONG" > "HOLLight.hollight.FINITE_INDUCT_STRONG"
  | 
| 
 | 
  1444  | 
  "FINITE_INDEX_WORKS_FINITE" > "HOLLight.hollight.FINITE_INDEX_WORKS_FINITE"
  | 
| 
 | 
  1445  | 
  "FINITE_INDEX_WORKS" > "HOLLight.hollight.FINITE_INDEX_WORKS"
  | 
| 
 | 
  1446  | 
  "FINITE_INDEX_NUMSEG" > "HOLLight.hollight.FINITE_INDEX_NUMSEG"
  | 
| 
 | 
  1447  | 
  "FINITE_INDEX_NUMBERS" > "HOLLight.hollight.FINITE_INDEX_NUMBERS"
  | 
| 
 | 
  1448  | 
  "FINITE_INDEX_INJ" > "HOLLight.hollight.FINITE_INDEX_INJ"
  | 
| 
 | 
  1449  | 
  "FINITE_IMAGE_INJ_GENERAL" > "HOLLight.hollight.FINITE_IMAGE_INJ_GENERAL"
  | 
| 
 | 
  1450  | 
  "FINITE_IMAGE_INJ" > "HOLLight.hollight.FINITE_IMAGE_INJ"
  | 
| 
 | 
  1451  | 
  "FINITE_IMAGE_IMAGE" > "HOLLight.hollight.FINITE_IMAGE_IMAGE"
  | 
| 
 | 
  1452  | 
  "FINITE_IMAGE_EXPAND" > "HOLLight.hollight.FINITE_IMAGE_EXPAND"
  | 
| 
 | 
  1453  | 
  "FINITE_IMAGE" > "HOLLight.hollight.FINITE_IMAGE"
  | 
| 
 | 
  1454  | 
  "FINITE_HAS_SIZE_LEMMA" > "HOLLight.hollight.FINITE_HAS_SIZE_LEMMA"
  | 
| 
 | 
  1455  | 
  "FINITE_FUNSPACE" > "HOLLight.hollight.FINITE_FUNSPACE"
  | 
| 
 | 
  1456  | 
  "FINITE_FINITE_IMAGE" > "HOLLight.hollight.FINITE_FINITE_IMAGE"
  | 
| 
 | 
  1457  | 
  "FINITE_DIFF" > "HOLLight.hollight.FINITE_DIFF"
  | 
| 
 | 
  1458  | 
  "FINITE_DELETE_IMP" > "HOLLight.hollight.FINITE_DELETE_IMP"
  | 
| 
 | 
  1459  | 
  "FINITE_DELETE" > "HOLLight.hollight.FINITE_DELETE"
  | 
| 
 | 
  1460  | 
  "FILTER_def" > "HOLLight.hollight.FILTER_def"
  | 
| 
 | 
  1461  | 
  "FILTER_MAP" > "HOLLight.hollight.FILTER_MAP"
  | 
| 
 | 
  1462  | 
  "FILTER_APPEND" > "HOLLight.hollight.FILTER_APPEND"
  | 
| 
 | 
  1463  | 
  "FCONS_def" > "HOLLight.hollight.FCONS_def"
  | 
| 
 | 
  1464  | 
  "FCONS_UNDO" > "HOLLight.hollight.FCONS_UNDO"
  | 
| 
 | 
  1465  | 
  "FACT_def" > "HOLLight.hollight.FACT_def"
  | 
| 
 | 
  1466  | 
  "FACT_MONO" > "HOLLight.hollight.FACT_MONO"
  | 
| 
 | 
  1467  | 
  "FACT_LT" > "HOLLight.hollight.FACT_LT"
  | 
| 
 | 
  1468  | 
  "FACT_LE" > "HOLLight.hollight.FACT_LE"
  | 
| 
 | 
  1469  | 
  "EX_def" > "HOLLight.hollight.EX_def"
  | 
| 
 | 
  1470  | 
  "EX_MEM" > "HOLLight.hollight.EX_MEM"
  | 
| 
 | 
  1471  | 
  "EX_MAP" > "HOLLight.hollight.EX_MAP"
  | 
| 
 | 
  1472  | 
  "EX_IMP" > "HOLLight.hollight.EX_IMP"
  | 
| 
 | 
  1473  | 
  "EXTENSION" > "HOLLight.hollight.EXTENSION"
  | 
| 
 | 
  1474  | 
  "EXP_def" > "HOLLight.hollight.EXP_def"
  | 
| 
 | 
  1475  | 
  "EXP_ONE" > "HOLLight.hollight.EXP_ONE"
  | 
| 
 | 
  1476  | 
  "EXP_MULT" > "HOLLight.hollight.EXP_MULT"
  | 
| 
 | 
  1477  | 
  "EXP_LT_0" > "HOLLight.hollight.EXP_LT_0"
  | 
| 
 | 
  1478  | 
  "EXP_EQ_0" > "HOLLight.hollight.EXP_EQ_0"
  | 
| 
 | 
  1479  | 
  "EXP_ADD" > "HOLLight.hollight.EXP_ADD"
  | 
| 
 | 
  1480  | 
  "EXP_2" > "HOLLight.hollight.EXP_2"
  | 
| 
 | 
  1481  | 
  "EXP_1" > "HOLLight.hollight.EXP_1"
  | 
| 
 | 
  1482  | 
  "EXISTS_UNIQUE_THM" > "HOL4Compat.EXISTS_UNIQUE_DEF"
  | 
| 
 | 
  1483  | 
  "EXISTS_UNIQUE_REFL" > "HOL.ex1_eq_1"
  | 
| 
 | 
  1484  | 
  "EXISTS_UNIQUE_ALT" > "HOLLight.hollight.EXISTS_UNIQUE_ALT"
  | 
| 
 | 
  1485  | 
  "EXISTS_UNIQUE" > "HOL.Ex1_def"
  | 
| 
 | 
  1486  | 
  "EXISTS_THM" > "HOL4Setup.EXISTS_DEF"
  | 
| 
 | 
  1487  | 
  "EXISTS_SIMP" > "HOL.simp_thms_36"
  | 
| 
 | 
  1488  | 
  "EXISTS_REFL" > "HOL.simp_thms_37"
  | 
| 
 | 
  1489  | 
  "EXISTS_PASTECART" > "HOLLight.hollight.EXISTS_PASTECART"
  | 
| 
 | 
  1490  | 
  "EXISTS_PAIR_THM" > "Product_Type.split_paired_Ex"
  | 
| 
 | 
  1491  | 
  "EXISTS_OR_THM" > "HOL.ex_disj_distrib"
  | 
| 
 | 
  1492  | 
  "EXISTS_ONE_REP" > "HOLLight.hollight.EXISTS_ONE_REP"
  | 
| 
 | 
  1493  | 
  "EXISTS_NOT_THM" > "Inductive.basic_monos_15"
  | 
| 
 | 
  1494  | 
  "EXISTS_IN_IMAGE" > "HOLLight.hollight.EXISTS_IN_IMAGE"
  | 
| 
 | 
  1495  | 
  "EXISTS_IN_CLAUSES" > "HOLLight.hollight.EXISTS_IN_CLAUSES"
  | 
| 
 | 
  1496  | 
  "EXISTS_EX" > "HOLLight.hollight.EXISTS_EX"
  | 
| 
 | 
  1497  | 
  "EXISTS_BOOL_THM" > "Set.ex_bool_eq"
  | 
| 
 | 
  1498  | 
  "EXCLUDED_MIDDLE" > "HOLLight.hollight.EXCLUDED_MIDDLE"
  | 
| 
 | 
  1499  | 
  "EVEN_def" > "HOLLight.hollight.EVEN_def"
  | 
| 
 | 
  1500  | 
  "EVEN_OR_ODD" > "HOLLight.hollight.EVEN_OR_ODD"
  | 
| 
 | 
  1501  | 
  "EVEN_ODD_DECOMPOSITION" > "HOLLight.hollight.EVEN_ODD_DECOMPOSITION"
  | 
| 
 | 
  1502  | 
  "EVEN_MULT" > "HOLLight.hollight.EVEN_MULT"
  | 
| 
 | 
  1503  | 
  "EVEN_MOD" > "HOLLight.hollight.EVEN_MOD"
  | 
| 
 | 
  1504  | 
  "EVEN_EXP" > "HOLLight.hollight.EVEN_EXP"
  | 
| 
 | 
  1505  | 
  "EVEN_EXISTS_LEMMA" > "HOLLight.hollight.EVEN_EXISTS_LEMMA"
  | 
| 
 | 
  1506  | 
  "EVEN_EXISTS" > "HOLLight.hollight.EVEN_EXISTS"
  | 
| 
 | 
  1507  | 
  "EVEN_DOUBLE" > "HOLLight.hollight.EVEN_DOUBLE"
  | 
| 
 | 
  1508  | 
  "EVEN_AND_ODD" > "HOLLight.hollight.EVEN_AND_ODD"
  | 
| 
 | 
  1509  | 
  "EVEN_ADD" > "HOLLight.hollight.EVEN_ADD"
  | 
| 
 | 
  1510  | 
  "EQ_UNIV" > "HOLLight.hollight.EQ_UNIV"
  | 
| 
 | 
  1511  | 
  "EQ_TRANS" > "Set.basic_trans_rules_31"
  | 
| 
 | 
  1512  | 
  "EQ_SYM_EQ" > "HOL.eq_sym_conv"
  | 
| 
 | 
  1513  | 
  "EQ_SYM" > "HOL.meta_eq_to_obj_eq"
  | 
| 
 | 
  1514  | 
  "EQ_SUC" > "Nat.nat.simps_3"
  | 
| 
 | 
  1515  | 
  "EQ_REFL_T" > "HOL.simp_thms_6"
  | 
| 
 | 
  1516  | 
  "EQ_REFL" > "Presburger.fm_modd_pinf"
  | 
| 
 | 
  1517  | 
  "EQ_MULT_RCANCEL" > "Nat.mult_cancel2"
  | 
| 
30925
 | 
  1518  | 
  "EQ_MULT_LCANCEL" > "Nat_Numeral.nat_mult_eq_cancel_disj"
  | 
| 
17644
 | 
  1519  | 
  "EQ_IMP_LE" > "HOLLight.hollight.EQ_IMP_LE"
  | 
| 
 | 
  1520  | 
  "EQ_EXT" > "HOL.meta_eq_to_obj_eq"
  | 
| 
 | 
  1521  | 
  "EQ_CLAUSES" > "HOLLight.hollight.EQ_CLAUSES"
  | 
| 
 | 
  1522  | 
  "EQ_ADD_RCANCEL_0" > "HOLLight.hollight.EQ_ADD_RCANCEL_0"
  | 
| 
 | 
  1523  | 
  "EQ_ADD_RCANCEL" > "Nat.nat_add_right_cancel"
  | 
| 
 | 
  1524  | 
  "EQ_ADD_LCANCEL_0" > "HOLLight.hollight.EQ_ADD_LCANCEL_0"
  | 
| 
 | 
  1525  | 
  "EQ_ADD_LCANCEL" > "Nat.nat_add_left_cancel"
  | 
| 
 | 
  1526  | 
  "EMPTY_def" > "HOLLight.hollight.EMPTY_def"
  | 
| 
 | 
  1527  | 
  "EMPTY_UNIONS" > "HOLLight.hollight.EMPTY_UNIONS"
  | 
| 
 | 
  1528  | 
  "EMPTY_UNION" > "HOLLight.hollight.EMPTY_UNION"
  | 
| 
 | 
  1529  | 
  "EMPTY_SUBSET" > "HOLLight.hollight.EMPTY_SUBSET"
  | 
| 
 | 
  1530  | 
  "EMPTY_NOT_UNIV" > "HOLLight.hollight.EMPTY_NOT_UNIV"
  | 
| 
 | 
  1531  | 
  "EMPTY_GSPEC" > "HOLLight.hollight.EMPTY_GSPEC"
  | 
| 
 | 
  1532  | 
  "EMPTY_DIFF" > "HOLLight.hollight.EMPTY_DIFF"
  | 
| 
 | 
  1533  | 
  "EMPTY_DELETE" > "HOLLight.hollight.EMPTY_DELETE"
  | 
| 
 | 
  1534  | 
  "EL_def" > "HOLLight.hollight.EL_def"
  | 
| 
 | 
  1535  | 
  "DIV_def" > "HOLLight.hollight.DIV_def"
  | 
| 
 | 
  1536  | 
  "DIV_UNIQ" > "HOLLight.hollight.DIV_UNIQ"
  | 
| 
 | 
  1537  | 
  "DIV_REFL" > "HOLLight.hollight.DIV_REFL"
  | 
| 
 | 
  1538  | 
  "DIV_MUL_LE" > "HOLLight.hollight.DIV_MUL_LE"
  | 
| 
 | 
  1539  | 
  "DIV_MULT2" > "HOLLight.hollight.DIV_MULT2"
  | 
| 
 | 
  1540  | 
  "DIV_MULT" > "HOLLight.hollight.DIV_MULT"
  | 
| 
 | 
  1541  | 
  "DIV_MONO_LT" > "HOLLight.hollight.DIV_MONO_LT"
  | 
| 
 | 
  1542  | 
  "DIV_MONO2" > "HOLLight.hollight.DIV_MONO2"
  | 
| 
 | 
  1543  | 
  "DIV_MONO" > "HOLLight.hollight.DIV_MONO"
  | 
| 
 | 
  1544  | 
  "DIV_MOD" > "HOLLight.hollight.DIV_MOD"
  | 
| 
 | 
  1545  | 
  "DIV_LT" > "HOLLight.hollight.DIV_LT"
  | 
| 
 | 
  1546  | 
  "DIV_LE_EXCLUSION" > "HOLLight.hollight.DIV_LE_EXCLUSION"
  | 
| 
 | 
  1547  | 
  "DIV_LE" > "HOLLight.hollight.DIV_LE"
  | 
| 
 | 
  1548  | 
  "DIV_EQ_EXCLUSION" > "HOLLight.hollight.DIV_EQ_EXCLUSION"
  | 
| 
 | 
  1549  | 
  "DIV_EQ_0" > "HOLLight.hollight.DIV_EQ_0"
  | 
| 
 | 
  1550  | 
  "DIV_DIV" > "HOLLight.hollight.DIV_DIV"
  | 
| 
 | 
  1551  | 
  "DIV_ADD_MOD" > "HOLLight.hollight.DIV_ADD_MOD"
  | 
| 
 | 
  1552  | 
  "DIV_1" > "HOLLight.hollight.DIV_1"
  | 
| 
 | 
  1553  | 
  "DIV_0" > "HOLLight.hollight.DIV_0"
  | 
| 
 | 
  1554  | 
  "DIVMOD_UNIQ_LEMMA" > "HOLLight.hollight.DIVMOD_UNIQ_LEMMA"
  | 
| 
 | 
  1555  | 
  "DIVMOD_UNIQ" > "HOLLight.hollight.DIVMOD_UNIQ"
  | 
| 
 | 
  1556  | 
  "DIVMOD_EXIST_0" > "HOLLight.hollight.DIVMOD_EXIST_0"
  | 
| 
 | 
  1557  | 
  "DIVMOD_EXIST" > "HOLLight.hollight.DIVMOD_EXIST"
  | 
| 
 | 
  1558  | 
  "DIVMOD_ELIM_THM" > "HOLLight.hollight.DIVMOD_ELIM_THM"
  | 
| 
 | 
  1559  | 
  "DIVISION" > "HOLLight.hollight.DIVISION"
  | 
| 
 | 
  1560  | 
  "DIST_TRIANGLE_LE" > "HOLLight.hollight.DIST_TRIANGLE_LE"
  | 
| 
 | 
  1561  | 
  "DIST_TRIANGLES_LE" > "HOLLight.hollight.DIST_TRIANGLES_LE"
  | 
| 
 | 
  1562  | 
  "DIST_TRIANGLE" > "HOLLight.hollight.DIST_TRIANGLE"
  | 
| 
 | 
  1563  | 
  "DIST_SYM" > "HOLLight.hollight.DIST_SYM"
  | 
| 
 | 
  1564  | 
  "DIST_RZERO" > "HOLLight.hollight.DIST_RZERO"
  | 
| 
 | 
  1565  | 
  "DIST_RMUL" > "HOLLight.hollight.DIST_RMUL"
  | 
| 
 | 
  1566  | 
  "DIST_REFL" > "HOLLight.hollight.DIST_REFL"
  | 
| 
 | 
  1567  | 
  "DIST_RADD_0" > "HOLLight.hollight.DIST_RADD_0"
  | 
| 
 | 
  1568  | 
  "DIST_RADD" > "HOLLight.hollight.DIST_RADD"
  | 
| 
 | 
  1569  | 
  "DIST_LZERO" > "HOLLight.hollight.DIST_LZERO"
  | 
| 
 | 
  1570  | 
  "DIST_LMUL" > "HOLLight.hollight.DIST_LMUL"
  | 
| 
 | 
  1571  | 
  "DIST_LE_CASES" > "HOLLight.hollight.DIST_LE_CASES"
  | 
| 
 | 
  1572  | 
  "DIST_LADD_0" > "HOLLight.hollight.DIST_LADD_0"
  | 
| 
 | 
  1573  | 
  "DIST_LADD" > "HOLLight.hollight.DIST_LADD"
  | 
| 
 | 
  1574  | 
  "DIST_EQ_0" > "HOLLight.hollight.DIST_EQ_0"
  | 
| 
 | 
  1575  | 
  "DIST_ELIM_THM" > "HOLLight.hollight.DIST_ELIM_THM"
  | 
| 
 | 
  1576  | 
  "DIST_ADDBOUND" > "HOLLight.hollight.DIST_ADDBOUND"
  | 
| 
 | 
  1577  | 
  "DIST_ADD2_REV" > "HOLLight.hollight.DIST_ADD2_REV"
  | 
| 
 | 
  1578  | 
  "DIST_ADD2" > "HOLLight.hollight.DIST_ADD2"
  | 
| 
 | 
  1579  | 
  "DISJ_SYM" > "HOL.disj_comms_1"
  | 
| 
 | 
  1580  | 
  "DISJ_ASSOC" > "Recdef.tfl_disj_assoc"
  | 
| 
 | 
  1581  | 
  "DISJ_ACI" > "HOLLight.hollight.DISJ_ACI"
  | 
| 
 | 
  1582  | 
  "DISJOINT_def" > "HOLLight.hollight.DISJOINT_def"
  | 
| 
 | 
  1583  | 
  "DISJOINT_UNION" > "HOLLight.hollight.DISJOINT_UNION"
  | 
| 
 | 
  1584  | 
  "DISJOINT_SYM" > "HOLLight.hollight.DISJOINT_SYM"
  | 
| 
 | 
  1585  | 
  "DISJOINT_NUMSEG" > "HOLLight.hollight.DISJOINT_NUMSEG"
  | 
| 
 | 
  1586  | 
  "DISJOINT_INSERT" > "HOLLight.hollight.DISJOINT_INSERT"
  | 
| 
 | 
  1587  | 
  "DISJOINT_EMPTY_REFL" > "HOLLight.hollight.DISJOINT_EMPTY_REFL"
  | 
| 
 | 
  1588  | 
  "DISJOINT_EMPTY" > "HOLLight.hollight.DISJOINT_EMPTY"
  | 
| 
 | 
  1589  | 
  "DISJOINT_DELETE_SYM" > "HOLLight.hollight.DISJOINT_DELETE_SYM"
  | 
| 
 | 
  1590  | 
  "DIMINDEX_NONZERO" > "HOLLight.hollight.DIMINDEX_NONZERO"
  | 
| 
 | 
  1591  | 
  "DIMINDEX_HAS_SIZE_FINITE_SUM" > "HOLLight.hollight.DIMINDEX_HAS_SIZE_FINITE_SUM"
  | 
| 
 | 
  1592  | 
  "DIMINDEX_GE_1" > "HOLLight.hollight.DIMINDEX_GE_1"
  | 
| 
 | 
  1593  | 
  "DIMINDEX_FINITE_SUM" > "HOLLight.hollight.DIMINDEX_FINITE_SUM"
  | 
| 
 | 
  1594  | 
  "DIMINDEX_FINITE_IMAGE" > "HOLLight.hollight.DIMINDEX_FINITE_IMAGE"
  | 
| 
 | 
  1595  | 
  "DIFF_def" > "HOLLight.hollight.DIFF_def"
  | 
| 
 | 
  1596  | 
  "DIFF_UNIV" > "HOLLight.hollight.DIFF_UNIV"
  | 
| 
 | 
  1597  | 
  "DIFF_INSERT" > "HOLLight.hollight.DIFF_INSERT"
  | 
| 
 | 
  1598  | 
  "DIFF_EQ_EMPTY" > "HOLLight.hollight.DIFF_EQ_EMPTY"
  | 
| 
 | 
  1599  | 
  "DIFF_EMPTY" > "HOLLight.hollight.DIFF_EMPTY"
  | 
| 
 | 
  1600  | 
  "DIFF_DIFF" > "HOLLight.hollight.DIFF_DIFF"
  | 
| 
 | 
  1601  | 
  "DEST_REC_INJ" > "HOLLight.hollight.recspace._dest_rec_inject"
  | 
| 
 | 
  1602  | 
  "DELETE_def" > "HOLLight.hollight.DELETE_def"
  | 
| 
 | 
  1603  | 
  "DELETE_SUBSET" > "HOLLight.hollight.DELETE_SUBSET"
  | 
| 
 | 
  1604  | 
  "DELETE_NON_ELEMENT" > "HOLLight.hollight.DELETE_NON_ELEMENT"
  | 
| 
 | 
  1605  | 
  "DELETE_INTER" > "HOLLight.hollight.DELETE_INTER"
  | 
| 
 | 
  1606  | 
  "DELETE_INSERT" > "HOLLight.hollight.DELETE_INSERT"
  | 
| 
 | 
  1607  | 
  "DELETE_DELETE" > "HOLLight.hollight.DELETE_DELETE"
  | 
| 
 | 
  1608  | 
  "DELETE_COMM" > "HOLLight.hollight.DELETE_COMM"
  | 
| 
 | 
  1609  | 
  "DEF_~" > "HOL.simp_thms_19"
  | 
| 
 | 
  1610  | 
  "DEF_two_2" > "HOLLight.hollight.DEF_two_2"
  | 
| 
 | 
  1611  | 
  "DEF_two_1" > "HOLLight.hollight.DEF_two_1"
  | 
| 
 | 
  1612  | 
  "DEF_treal_of_num" > "HOLLight.hollight.DEF_treal_of_num"
  | 
| 
 | 
  1613  | 
  "DEF_treal_neg" > "HOLLight.hollight.DEF_treal_neg"
  | 
| 
 | 
  1614  | 
  "DEF_treal_mul" > "HOLLight.hollight.DEF_treal_mul"
  | 
| 
 | 
  1615  | 
  "DEF_treal_le" > "HOLLight.hollight.DEF_treal_le"
  | 
| 
 | 
  1616  | 
  "DEF_treal_inv" > "HOLLight.hollight.DEF_treal_inv"
  | 
| 
 | 
  1617  | 
  "DEF_treal_eq" > "HOLLight.hollight.DEF_treal_eq"
  | 
| 
 | 
  1618  | 
  "DEF_treal_add" > "HOLLight.hollight.DEF_treal_add"
  | 
| 
 | 
  1619  | 
  "DEF_three_3" > "HOLLight.hollight.DEF_three_3"
  | 
| 
 | 
  1620  | 
  "DEF_three_2" > "HOLLight.hollight.DEF_three_2"
  | 
| 
 | 
  1621  | 
  "DEF_three_1" > "HOLLight.hollight.DEF_three_1"
  | 
| 
 | 
  1622  | 
  "DEF_tailadmissible" > "HOLLight.hollight.DEF_tailadmissible"
  | 
| 
 | 
  1623  | 
  "DEF_support" > "HOLLight.hollight.DEF_support"
  | 
| 
 | 
  1624  | 
  "DEF_superadmissible" > "HOLLight.hollight.DEF_superadmissible"
  | 
| 
 | 
  1625  | 
  "DEF_sum" > "HOLLight.hollight.DEF_sum"
  | 
| 
 | 
  1626  | 
  "DEF_sndcart" > "HOLLight.hollight.DEF_sndcart"
  | 
| 
 | 
  1627  | 
  "DEF_set_of_list" > "HOLLight.hollight.DEF_set_of_list"
  | 
| 
 | 
  1628  | 
  "DEF_real_sub" > "HOLLight.hollight.DEF_real_sub"
  | 
| 
 | 
  1629  | 
  "DEF_real_pow" > "HOLLight.hollight.DEF_real_pow"
  | 
| 
 | 
  1630  | 
  "DEF_real_of_num" > "HOLLight.hollight.DEF_real_of_num"
  | 
| 
 | 
  1631  | 
  "DEF_real_neg" > "HOLLight.hollight.DEF_real_neg"
  | 
| 
 | 
  1632  | 
  "DEF_real_mul" > "HOLLight.hollight.DEF_real_mul"
  | 
| 
 | 
  1633  | 
  "DEF_real_min" > "HOLLight.hollight.DEF_real_min"
  | 
| 
 | 
  1634  | 
  "DEF_real_max" > "HOLLight.hollight.DEF_real_max"
  | 
| 
 | 
  1635  | 
  "DEF_real_lt" > "HOLLight.hollight.DEF_real_lt"
  | 
| 
 | 
  1636  | 
  "DEF_real_le" > "HOLLight.hollight.DEF_real_le"
  | 
| 
 | 
  1637  | 
  "DEF_real_inv" > "HOLLight.hollight.DEF_real_inv"
  | 
| 
 | 
  1638  | 
  "DEF_real_gt" > "HOLLight.hollight.DEF_real_gt"
  | 
| 
 | 
  1639  | 
  "DEF_real_ge" > "HOLLight.hollight.DEF_real_ge"
  | 
| 
 | 
  1640  | 
  "DEF_real_div" > "HOLLight.hollight.DEF_real_div"
  | 
| 
 | 
  1641  | 
  "DEF_real_add" > "HOLLight.hollight.DEF_real_add"
  | 
| 
 | 
  1642  | 
  "DEF_real_abs" > "HOLLight.hollight.DEF_real_abs"
  | 
| 
 | 
  1643  | 
  "DEF_pastecart" > "HOLLight.hollight.DEF_pastecart"
  | 
| 
 | 
  1644  | 
  "DEF_pairwise" > "HOLLight.hollight.DEF_pairwise"
  | 
| 
 | 
  1645  | 
  "DEF_o" > "Fun.o_apply"
  | 
| 
 | 
  1646  | 
  "DEF_nsum" > "HOLLight.hollight.DEF_nsum"
  | 
| 
 | 
  1647  | 
  "DEF_neutral" > "HOLLight.hollight.DEF_neutral"
  | 
| 
 | 
  1648  | 
  "DEF_nadd_rinv" > "HOLLight.hollight.DEF_nadd_rinv"
  | 
| 
 | 
  1649  | 
  "DEF_nadd_of_num" > "HOLLight.hollight.DEF_nadd_of_num"
  | 
| 
 | 
  1650  | 
  "DEF_nadd_mul" > "HOLLight.hollight.DEF_nadd_mul"
  | 
| 
 | 
  1651  | 
  "DEF_nadd_le" > "HOLLight.hollight.DEF_nadd_le"
  | 
| 
 | 
  1652  | 
  "DEF_nadd_inv" > "HOLLight.hollight.DEF_nadd_inv"
  | 
| 
 | 
  1653  | 
  "DEF_nadd_eq" > "HOLLight.hollight.DEF_nadd_eq"
  | 
| 
 | 
  1654  | 
  "DEF_nadd_add" > "HOLLight.hollight.DEF_nadd_add"
  | 
| 
 | 
  1655  | 
  "DEF_monoidal" > "HOLLight.hollight.DEF_monoidal"
  | 
| 
 | 
  1656  | 
  "DEF_mod_real" > "HOLLight.hollight.DEF_mod_real"
  | 
| 
 | 
  1657  | 
  "DEF_mod_nat" > "HOLLight.hollight.DEF_mod_nat"
  | 
| 
 | 
  1658  | 
  "DEF_mod_int" > "HOLLight.hollight.DEF_mod_int"
  | 
| 
 | 
  1659  | 
  "DEF_mk_pair" > "Product_Type.Pair_Rep_def"
  | 
| 
 | 
  1660  | 
  "DEF_minimal" > "HOLLight.hollight.DEF_minimal"
  | 
| 
 | 
  1661  | 
  "DEF_measure" > "HOLLight.hollight.DEF_measure"
  | 
| 
 | 
  1662  | 
  "DEF_list_of_set" > "HOLLight.hollight.DEF_list_of_set"
  | 
| 
 | 
  1663  | 
  "DEF_lambda" > "HOLLight.hollight.DEF_lambda"
  | 
| 
 | 
  1664  | 
  "DEF_iterate" > "HOLLight.hollight.DEF_iterate"
  | 
| 
 | 
  1665  | 
  "DEF_is_nadd" > "HOLLight.hollight.DEF_is_nadd"
  | 
| 
 | 
  1666  | 
  "DEF_is_int" > "HOLLight.hollight.DEF_is_int"
  | 
| 
 | 
  1667  | 
  "DEF_int_sub" > "HOLLight.hollight.DEF_int_sub"
  | 
| 
 | 
  1668  | 
  "DEF_int_pow" > "HOLLight.hollight.DEF_int_pow"
  | 
| 
 | 
  1669  | 
  "DEF_int_of_num" > "HOLLight.hollight.DEF_int_of_num"
  | 
| 
 | 
  1670  | 
  "DEF_int_neg" > "HOLLight.hollight.DEF_int_neg"
  | 
| 
 | 
  1671  | 
  "DEF_int_mul" > "HOLLight.hollight.DEF_int_mul"
  | 
| 
 | 
  1672  | 
  "DEF_int_min" > "HOLLight.hollight.DEF_int_min"
  | 
| 
 | 
  1673  | 
  "DEF_int_max" > "HOLLight.hollight.DEF_int_max"
  | 
| 
 | 
  1674  | 
  "DEF_int_lt" > "HOLLight.hollight.DEF_int_lt"
  | 
| 
 | 
  1675  | 
  "DEF_int_le" > "HOLLight.hollight.DEF_int_le"
  | 
| 
 | 
  1676  | 
  "DEF_int_gt" > "HOLLight.hollight.DEF_int_gt"
  | 
| 
 | 
  1677  | 
  "DEF_int_ge" > "HOLLight.hollight.DEF_int_ge"
  | 
| 
 | 
  1678  | 
  "DEF_int_add" > "HOLLight.hollight.DEF_int_add"
  | 
| 
 | 
  1679  | 
  "DEF_int_abs" > "HOLLight.hollight.DEF_int_abs"
  | 
| 
 | 
  1680  | 
  "DEF_hreal_of_num" > "HOLLight.hollight.DEF_hreal_of_num"
  | 
| 
 | 
  1681  | 
  "DEF_hreal_mul" > "HOLLight.hollight.DEF_hreal_mul"
  | 
| 
 | 
  1682  | 
  "DEF_hreal_le" > "HOLLight.hollight.DEF_hreal_le"
  | 
| 
 | 
  1683  | 
  "DEF_hreal_inv" > "HOLLight.hollight.DEF_hreal_inv"
  | 
| 
 | 
  1684  | 
  "DEF_hreal_add" > "HOLLight.hollight.DEF_hreal_add"
  | 
| 
 | 
  1685  | 
  "DEF_fstcart" > "HOLLight.hollight.DEF_fstcart"
  | 
| 
 | 
  1686  | 
  "DEF_finite_index" > "HOLLight.hollight.DEF_finite_index"
  | 
| 
 | 
  1687  | 
  "DEF_dist" > "HOLLight.hollight.DEF_dist"
  | 
| 
 | 
  1688  | 
  "DEF_dimindex" > "HOLLight.hollight.DEF_dimindex"
  | 
| 
 | 
  1689  | 
  "DEF_admissible" > "HOLLight.hollight.DEF_admissible"
  | 
| 
 | 
  1690  | 
  "DEF__star_" > "HOLLightCompat.mult_altdef"
  | 
| 
 | 
  1691  | 
  "DEF__slash__backslash_" > "HOLLightCompat.light_and_def"
  | 
| 
 | 
  1692  | 
  "DEF__questionmark__exclamationmark_" > "HOL4Compat.EXISTS_UNIQUE_DEF"
  | 
| 
 | 
  1693  | 
  "DEF__questionmark_" > "HOL.Ex_def"
  | 
| 
 | 
  1694  | 
  "DEF__lessthan__equal_" > "HOLLight.hollight.DEF__lessthan__equal_"
  | 
| 
 | 
  1695  | 
  "DEF__lessthan_" > "HOLLight.hollight.DEF__lessthan_"
  | 
| 
 | 
  1696  | 
  "DEF__greaterthan__equal_" > "HOLLight.hollight.DEF__greaterthan__equal_"
  | 
| 
 | 
  1697  | 
  "DEF__greaterthan_" > "HOLLight.hollight.DEF__greaterthan_"
  | 
| 
 | 
  1698  | 
  "DEF__exclamationmark_" > "HOL.All_def"
  | 
| 
 | 
  1699  | 
  "DEF__equal__equal__greaterthan_" > "HOLLightCompat.light_imp_def"
  | 
| 
 | 
  1700  | 
  "DEF__equal__equal_" > "HOLLight.hollight.DEF__equal__equal_"
  | 
| 
 | 
  1701  | 
  "DEF__dot__dot_" > "HOLLight.hollight.DEF__dot__dot_"
  | 
| 
 | 
  1702  | 
  "DEF__backslash__slash_" > "HOL.or_def"
  | 
| 
 | 
  1703  | 
  "DEF__FALSITY_" > "HOLLight.hollight.DEF__FALSITY_"
  | 
| 
19093
 | 
  1704  | 
  "DEF__10328" > "HOLLight.hollight.DEF__10328"
  | 
| 
 | 
  1705  | 
  "DEF__10327" > "HOLLight.hollight.DEF__10327"
  | 
| 
 | 
  1706  | 
  "DEF__10326" > "HOLLight.hollight.DEF__10326"
  | 
| 
 | 
  1707  | 
  "DEF__10303" > "HOLLight.hollight.DEF__10303"
  | 
| 
 | 
  1708  | 
  "DEF__10302" > "HOLLight.hollight.DEF__10302"
  | 
| 
17644
 | 
  1709  | 
  "DEF_ZRECSPACE" > "HOLLight.hollight.DEF_ZRECSPACE"
  | 
| 
 | 
  1710  | 
  "DEF_ZIP" > "HOLLight.hollight.DEF_ZIP"
  | 
| 
 | 
  1711  | 
  "DEF_ZCONSTR" > "HOLLight.hollight.DEF_ZCONSTR"
  | 
| 
 | 
  1712  | 
  "DEF_ZBOT" > "HOLLight.hollight.DEF_ZBOT"
  | 
| 
 | 
  1713  | 
  "DEF_WF" > "HOLLight.hollight.DEF_WF"
  | 
| 
 | 
  1714  | 
  "DEF_UNIV" > "HOLLight.hollight.DEF_UNIV"
  | 
| 
 | 
  1715  | 
  "DEF_UNIONS" > "HOLLight.hollight.DEF_UNIONS"
  | 
| 
 | 
  1716  | 
  "DEF_UNION" > "HOLLight.hollight.DEF_UNION"
  | 
| 
 | 
  1717  | 
  "DEF_UNCURRY" > "HOLLight.hollight.DEF_UNCURRY"
  | 
| 
 | 
  1718  | 
  "DEF_TL" > "HOLLight.hollight.DEF_TL"
  | 
| 
 | 
  1719  | 
  "DEF_T" > "HOL.True_def"
  | 
| 
 | 
  1720  | 
  "DEF_SURJ" > "HOLLight.hollight.DEF_SURJ"
  | 
| 
 | 
  1721  | 
  "DEF_SUBSET" > "HOLLight.hollight.DEF_SUBSET"
  | 
| 
 | 
  1722  | 
  "DEF_SOME" > "HOLLight.hollight.DEF_SOME"
  | 
| 
 | 
  1723  | 
  "DEF_SND" > "HOLLightCompat.snd_altdef"
  | 
| 
 | 
  1724  | 
  "DEF_SING" > "HOLLight.hollight.DEF_SING"
  | 
| 
 | 
  1725  | 
  "DEF_SETSPEC" > "HOLLight.hollight.DEF_SETSPEC"
  | 
| 
 | 
  1726  | 
  "DEF_REVERSE" > "HOLLight.hollight.DEF_REVERSE"
  | 
| 
 | 
  1727  | 
  "DEF_REST" > "HOLLight.hollight.DEF_REST"
  | 
| 
 | 
  1728  | 
  "DEF_REPLICATE" > "HOLLight.hollight.DEF_REPLICATE"
  | 
| 
 | 
  1729  | 
  "DEF_PSUBSET" > "HOLLight.hollight.DEF_PSUBSET"
  | 
| 
 | 
  1730  | 
  "DEF_PRE" > "HOLLightCompat.Pred_altdef"
  | 
| 
 | 
  1731  | 
  "DEF_PASSOC" > "HOLLight.hollight.DEF_PASSOC"
  | 
| 
 | 
  1732  | 
  "DEF_PAIRWISE" > "HOLLight.hollight.DEF_PAIRWISE"
  | 
| 
 | 
  1733  | 
  "DEF_OUTR" > "HOLLight.hollight.DEF_OUTR"
  | 
| 
 | 
  1734  | 
  "DEF_OUTL" > "HOLLight.hollight.DEF_OUTL"
  | 
| 
 | 
  1735  | 
  "DEF_ONTO" > "Fun.surj_def"
  | 
| 
 | 
  1736  | 
  "DEF_ONE_ONE" > "HOL4Setup.ONE_ONE_DEF"
  | 
| 
 | 
  1737  | 
  "DEF_ODD" > "HOLLight.hollight.DEF_ODD"
  | 
| 
 | 
  1738  | 
  "DEF_NUMSUM" > "HOLLight.hollight.DEF_NUMSUM"
  | 
| 
 | 
  1739  | 
  "DEF_NUMSND" > "HOLLight.hollight.DEF_NUMSND"
  | 
| 
 | 
  1740  | 
  "DEF_NUMRIGHT" > "HOLLight.hollight.DEF_NUMRIGHT"
  | 
| 
 | 
  1741  | 
  "DEF_NUMPAIR" > "HOLLight.hollight.DEF_NUMPAIR"
  | 
| 
 | 
  1742  | 
  "DEF_NUMLEFT" > "HOLLight.hollight.DEF_NUMLEFT"
  | 
| 
 | 
  1743  | 
  "DEF_NUMFST" > "HOLLight.hollight.DEF_NUMFST"
  | 
| 
 | 
  1744  | 
  "DEF_NUMERAL" > "HOLLightCompat.NUMERAL_rew"
  | 
| 
 | 
  1745  | 
  "DEF_NULL" > "HOLLight.hollight.DEF_NULL"
  | 
| 
 | 
  1746  | 
  "DEF_NONE" > "HOLLight.hollight.DEF_NONE"
  | 
| 
 | 
  1747  | 
  "DEF_NIL" > "HOLLight.hollight.DEF_NIL"
  | 
| 
 | 
  1748  | 
  "DEF_MOD" > "HOLLight.hollight.DEF_MOD"
  | 
| 
 | 
  1749  | 
  "DEF_MEM" > "HOLLight.hollight.DEF_MEM"
  | 
| 
 | 
  1750  | 
  "DEF_MAP2" > "HOLLight.hollight.DEF_MAP2"
  | 
| 
 | 
  1751  | 
  "DEF_MAP" > "HOLLight.hollight.DEF_MAP"
  | 
| 
 | 
  1752  | 
  "DEF_LET_END" > "HOLLight.hollight.DEF_LET_END"
  | 
| 
 | 
  1753  | 
  "DEF_LET" > "HOL4Compat.LET_def"
  | 
| 
 | 
  1754  | 
  "DEF_LENGTH" > "HOLLight.hollight.DEF_LENGTH"
  | 
| 
 | 
  1755  | 
  "DEF_LAST" > "HOLLight.hollight.DEF_LAST"
  | 
| 
 | 
  1756  | 
  "DEF_ITSET" > "HOLLight.hollight.DEF_ITSET"
  | 
| 
 | 
  1757  | 
  "DEF_ITLIST2" > "HOLLight.hollight.DEF_ITLIST2"
  | 
| 
 | 
  1758  | 
  "DEF_ITLIST" > "HOLLight.hollight.DEF_ITLIST"
  | 
| 
 | 
  1759  | 
  "DEF_ISO" > "HOLLight.hollight.DEF_ISO"
  | 
| 
 | 
  1760  | 
  "DEF_INTERS" > "HOLLight.hollight.DEF_INTERS"
  | 
| 
 | 
  1761  | 
  "DEF_INTER" > "HOLLight.hollight.DEF_INTER"
  | 
| 
 | 
  1762  | 
  "DEF_INSERT" > "HOLLight.hollight.DEF_INSERT"
  | 
| 
 | 
  1763  | 
  "DEF_INJP" > "HOLLight.hollight.DEF_INJP"
  | 
| 
 | 
  1764  | 
  "DEF_INJN" > "HOLLight.hollight.DEF_INJN"
  | 
| 
 | 
  1765  | 
  "DEF_INJF" > "HOLLight.hollight.DEF_INJF"
  | 
| 
 | 
  1766  | 
  "DEF_INJA" > "HOLLight.hollight.DEF_INJA"
  | 
| 
 | 
  1767  | 
  "DEF_INJ" > "HOLLight.hollight.DEF_INJ"
  | 
| 
 | 
  1768  | 
  "DEF_INFINITE" > "HOLLight.hollight.DEF_INFINITE"
  | 
| 
 | 
  1769  | 
  "DEF_IN" > "HOLLight.hollight.DEF_IN"
  | 
| 
 | 
  1770  | 
  "DEF_IMAGE" > "HOLLight.hollight.DEF_IMAGE"
  | 
| 
 | 
  1771  | 
  "DEF_I" > "Fun.id_apply"
  | 
| 
 | 
  1772  | 
  "DEF_HD" > "HOLLight.hollight.DEF_HD"
  | 
| 
 | 
  1773  | 
  "DEF_HAS_SIZE" > "HOLLight.hollight.DEF_HAS_SIZE"
  | 
| 
 | 
  1774  | 
  "DEF_GSPEC" > "HOLLight.hollight.DEF_GSPEC"
  | 
| 
 | 
  1775  | 
  "DEF_GEQ" > "HOLLight.hollight.DEF_GEQ"
  | 
| 
 | 
  1776  | 
  "DEF_GABS" > "HOLLight.hollight.DEF_GABS"
  | 
| 
 | 
  1777  | 
  "DEF_FST" > "HOLLightCompat.fst_altdef"
  | 
| 
 | 
  1778  | 
  "DEF_FNIL" > "HOLLight.hollight.DEF_FNIL"
  | 
| 
 | 
  1779  | 
  "DEF_FINREC" > "HOLLight.hollight.DEF_FINREC"
  | 
| 
 | 
  1780  | 
  "DEF_FINITE" > "HOLLight.hollight.DEF_FINITE"
  | 
| 
 | 
  1781  | 
  "DEF_FILTER" > "HOLLight.hollight.DEF_FILTER"
  | 
| 
 | 
  1782  | 
  "DEF_FCONS" > "HOLLight.hollight.DEF_FCONS"
  | 
| 
 | 
  1783  | 
  "DEF_FACT" > "HOLLight.hollight.DEF_FACT"
  | 
| 
 | 
  1784  | 
  "DEF_F" > "HOL.False_def"
  | 
| 
 | 
  1785  | 
  "DEF_EXP" > "HOLLight.hollight.DEF_EXP"
  | 
| 
 | 
  1786  | 
  "DEF_EX" > "HOLLight.hollight.DEF_EX"
  | 
| 
 | 
  1787  | 
  "DEF_EVEN" > "HOLLight.hollight.DEF_EVEN"
  | 
| 
 | 
  1788  | 
  "DEF_EMPTY" > "HOLLight.hollight.DEF_EMPTY"
  | 
| 
 | 
  1789  | 
  "DEF_EL" > "HOLLight.hollight.DEF_EL"
  | 
| 
 | 
  1790  | 
  "DEF_DIV" > "HOLLight.hollight.DEF_DIV"
  | 
| 
 | 
  1791  | 
  "DEF_DISJOINT" > "HOLLight.hollight.DEF_DISJOINT"
  | 
| 
 | 
  1792  | 
  "DEF_DIFF" > "HOLLight.hollight.DEF_DIFF"
  | 
| 
 | 
  1793  | 
  "DEF_DELETE" > "HOLLight.hollight.DEF_DELETE"
  | 
| 
 | 
  1794  | 
  "DEF_DECIMAL" > "HOLLight.hollight.DEF_DECIMAL"
  | 
| 
 | 
  1795  | 
  "DEF_CURRY" > "HOLLight.hollight.DEF_CURRY"
  | 
| 
 | 
  1796  | 
  "DEF_COUNTABLE" > "HOLLight.hollight.DEF_COUNTABLE"
  | 
| 
 | 
  1797  | 
  "DEF_CONSTR" > "HOLLight.hollight.DEF_CONSTR"
  | 
| 
 | 
  1798  | 
  "DEF_CONS" > "HOLLight.hollight.DEF_CONS"
  | 
| 
 | 
  1799  | 
  "DEF_COND" > "HOLLight.hollight.DEF_COND"
  | 
| 
 | 
  1800  | 
  "DEF_CHOICE" > "HOLLight.hollight.DEF_CHOICE"
  | 
| 
 | 
  1801  | 
  "DEF_CASEWISE" > "HOLLight.hollight.DEF_CASEWISE"
  | 
| 
 | 
  1802  | 
  "DEF_CARD_LT" > "HOLLight.hollight.DEF_CARD_LT"
  | 
| 
 | 
  1803  | 
  "DEF_CARD_LE" > "HOLLight.hollight.DEF_CARD_LE"
  | 
| 
 | 
  1804  | 
  "DEF_CARD_GT" > "HOLLight.hollight.DEF_CARD_GT"
  | 
| 
 | 
  1805  | 
  "DEF_CARD_GE" > "HOLLight.hollight.DEF_CARD_GE"
  | 
| 
 | 
  1806  | 
  "DEF_CARD_EQ" > "HOLLight.hollight.DEF_CARD_EQ"
  | 
| 
 | 
  1807  | 
  "DEF_CARD" > "HOLLight.hollight.DEF_CARD"
  | 
| 
 | 
  1808  | 
  "DEF_BOTTOM" > "HOLLight.hollight.DEF_BOTTOM"
  | 
| 
 | 
  1809  | 
  "DEF_BIT1" > "HOLLightCompat.NUMERAL_BIT1_altdef"
  | 
| 
 | 
  1810  | 
  "DEF_BIT0" > "HOLLightCompat.NUMERAL_BIT0_def"
  | 
| 
 | 
  1811  | 
  "DEF_BIJ" > "HOLLight.hollight.DEF_BIJ"
  | 
| 
 | 
  1812  | 
  "DEF_ASSOC" > "HOLLight.hollight.DEF_ASSOC"
  | 
| 
 | 
  1813  | 
  "DEF_APPEND" > "HOLLight.hollight.DEF_APPEND"
  | 
| 
 | 
  1814  | 
  "DEF_ALL2" > "HOLLight.hollight.DEF_ALL2"
  | 
| 
 | 
  1815  | 
  "DEF_ALL" > "HOLLight.hollight.DEF_ALL"
  | 
| 
 | 
  1816  | 
  "DEF_-" > "HOLLightCompat.sub_altdef"
  | 
| 
 | 
  1817  | 
  "DEF_," > "Product_Type.Pair_def"
  | 
| 
 | 
  1818  | 
  "DEF_+" > "HOLLightCompat.add_altdef"
  | 
| 
 | 
  1819  | 
  "DEF_$" > "HOLLight.hollight.DEF_$"
  | 
| 
 | 
  1820  | 
  "DECOMPOSITION" > "HOLLight.hollight.DECOMPOSITION"
  | 
| 
 | 
  1821  | 
  "DECIMAL_def" > "HOLLight.hollight.DECIMAL_def"
  | 
| 
 | 
  1822  | 
  "CURRY_def" > "HOLLight.hollight.CURRY_def"
  | 
| 
 | 
  1823  | 
  "COUNTABLE_def" > "HOLLight.hollight.COUNTABLE_def"
  | 
| 
 | 
  1824  | 
  "CONS_def" > "HOLLight.hollight.CONS_def"
  | 
| 
 | 
  1825  | 
  "CONS_11" > "HOLLight.hollight.CONS_11"
  | 
| 
 | 
  1826  | 
  "CONSTR_def" > "HOLLight.hollight.CONSTR_def"
  | 
| 
 | 
  1827  | 
  "CONSTR_REC" > "HOLLight.hollight.CONSTR_REC"
  | 
| 
 | 
  1828  | 
  "CONSTR_INJ" > "HOLLight.hollight.CONSTR_INJ"
  | 
| 
 | 
  1829  | 
  "CONSTR_IND" > "HOLLight.hollight.CONSTR_IND"
  | 
| 
 | 
  1830  | 
  "CONSTR_BOT" > "HOLLight.hollight.CONSTR_BOT"
  | 
| 
 | 
  1831  | 
  "CONJ_SYM" > "HOL.conj_comms_1"
  | 
| 
 | 
  1832  | 
  "CONJ_ASSOC" > "HOL.conj_assoc"
  | 
| 
 | 
  1833  | 
  "CONJ_ACI" > "HOLLight.hollight.CONJ_ACI"
  | 
| 
 | 
  1834  | 
  "COND_def" > "HOLLight.hollight.COND_def"
  | 
| 
 | 
  1835  | 
  "COND_RATOR" > "HOLLight.hollight.COND_RATOR"
  | 
| 
 | 
  1836  | 
  "COND_RAND" > "HOLLight.hollight.COND_RAND"
  | 
| 
 | 
  1837  | 
  "COND_ID" > "HOLLight.hollight.COND_ID"
  | 
| 
 | 
  1838  | 
  "COND_EXPAND" > "HOLLight.hollight.COND_EXPAND"
  | 
| 
 | 
  1839  | 
  "COND_EQ_CLAUSE" > "HOLLight.hollight.COND_EQ_CLAUSE"
  | 
| 
 | 
  1840  | 
  "COND_ELIM_THM" > "HOLLight.hollight.COND_ELIM_THM"
  | 
| 
 | 
  1841  | 
  "COND_CLAUSES" > "HOLLight.hollight.COND_CLAUSES"
  | 
| 
 | 
  1842  | 
  "COND_ABS" > "HOLLight.hollight.COND_ABS"
  | 
| 
 | 
  1843  | 
  "COMPONENT" > "HOLLight.hollight.COMPONENT"
  | 
| 
 | 
  1844  | 
  "CHOOSE_SUBSET" > "HOLLight.hollight.CHOOSE_SUBSET"
  | 
| 
 | 
  1845  | 
  "CHOICE_def" > "HOLLight.hollight.CHOICE_def"
  | 
| 
 | 
  1846  | 
  "CHOICE_DEF" > "HOLLight.hollight.CHOICE_DEF"
  | 
| 
 | 
  1847  | 
  "CASEWISE_def" > "HOLLight.hollight.CASEWISE_def"
  | 
| 
 | 
  1848  | 
  "CASEWISE_WORKS" > "HOLLight.hollight.CASEWISE_WORKS"
  | 
| 
 | 
  1849  | 
  "CASEWISE_CASES" > "HOLLight.hollight.CASEWISE_CASES"
  | 
| 
 | 
  1850  | 
  "CASEWISE" > "HOLLight.hollight.CASEWISE"
  | 
| 
 | 
  1851  | 
  "CART_EQ" > "HOLLight.hollight.CART_EQ"
  | 
| 
 | 
  1852  | 
  "CARD_def" > "HOLLight.hollight.CARD_def"
  | 
| 
 | 
  1853  | 
  "CARD_UNION_LE" > "HOLLight.hollight.CARD_UNION_LE"
  | 
| 
 | 
  1854  | 
  "CARD_UNION_EQ" > "HOLLight.hollight.CARD_UNION_EQ"
  | 
| 
 | 
  1855  | 
  "CARD_UNIONS_LE" > "HOLLight.hollight.CARD_UNIONS_LE"
  | 
| 
 | 
  1856  | 
  "CARD_UNION" > "HOLLight.hollight.CARD_UNION"
  | 
| 
 | 
  1857  | 
  "CARD_SUBSET_LE" > "HOLLight.hollight.CARD_SUBSET_LE"
  | 
| 
 | 
  1858  | 
  "CARD_SUBSET_EQ" > "HOLLight.hollight.CARD_SUBSET_EQ"
  | 
| 
 | 
  1859  | 
  "CARD_SUBSET" > "HOLLight.hollight.CARD_SUBSET"
  | 
| 
 | 
  1860  | 
  "CARD_PSUBSET" > "HOLLight.hollight.CARD_PSUBSET"
  | 
| 
 | 
  1861  | 
  "CARD_PRODUCT" > "HOLLight.hollight.CARD_PRODUCT"
  | 
| 
 | 
  1862  | 
  "CARD_POWERSET" > "HOLLight.hollight.CARD_POWERSET"
  | 
| 
 | 
  1863  | 
  "CARD_NUMSEG_LT" > "HOLLight.hollight.CARD_NUMSEG_LT"
  | 
| 
 | 
  1864  | 
  "CARD_NUMSEG_LEMMA" > "HOLLight.hollight.CARD_NUMSEG_LEMMA"
  | 
| 
 | 
  1865  | 
  "CARD_NUMSEG_LE" > "HOLLight.hollight.CARD_NUMSEG_LE"
  | 
| 
 | 
  1866  | 
  "CARD_NUMSEG_1" > "HOLLight.hollight.CARD_NUMSEG_1"
  | 
| 
 | 
  1867  | 
  "CARD_NUMSEG" > "HOLLight.hollight.CARD_NUMSEG"
  | 
| 
 | 
  1868  | 
  "CARD_LT_def" > "HOLLight.hollight.CARD_LT_def"
  | 
| 
 | 
  1869  | 
  "CARD_LE_def" > "HOLLight.hollight.CARD_LE_def"
  | 
| 
 | 
  1870  | 
  "CARD_LE_INJ" > "HOLLight.hollight.CARD_LE_INJ"
  | 
| 
 | 
  1871  | 
  "CARD_IMAGE_LE" > "HOLLight.hollight.CARD_IMAGE_LE"
  | 
| 
 | 
  1872  | 
  "CARD_IMAGE_INJ" > "HOLLight.hollight.CARD_IMAGE_INJ"
  | 
| 
 | 
  1873  | 
  "CARD_GT_def" > "HOLLight.hollight.CARD_GT_def"
  | 
| 
 | 
  1874  | 
  "CARD_GE_def" > "HOLLight.hollight.CARD_GE_def"
  | 
| 
 | 
  1875  | 
  "CARD_GE_TRANS" > "HOLLight.hollight.CARD_GE_TRANS"
  | 
| 
 | 
  1876  | 
  "CARD_GE_REFL" > "HOLLight.hollight.CARD_GE_REFL"
  | 
| 
 | 
  1877  | 
  "CARD_FUNSPACE" > "HOLLight.hollight.CARD_FUNSPACE"
  | 
| 
 | 
  1878  | 
  "CARD_FINITE_IMAGE" > "HOLLight.hollight.CARD_FINITE_IMAGE"
  | 
| 
 | 
  1879  | 
  "CARD_EQ_def" > "HOLLight.hollight.CARD_EQ_def"
  | 
| 
 | 
  1880  | 
  "CARD_EQ_SUM" > "HOLLight.hollight.CARD_EQ_SUM"
  | 
| 
 | 
  1881  | 
  "CARD_EQ_NSUM" > "HOLLight.hollight.CARD_EQ_NSUM"
  | 
| 
 | 
  1882  | 
  "CARD_EQ_0" > "HOLLight.hollight.CARD_EQ_0"
  | 
| 
 | 
  1883  | 
  "CARD_DELETE" > "HOLLight.hollight.CARD_DELETE"
  | 
| 
 | 
  1884  | 
  "CARD_CLAUSES" > "HOLLight.hollight.CARD_CLAUSES"
  | 
| 
 | 
  1885  | 
  "BOUNDS_NOTZERO" > "HOLLight.hollight.BOUNDS_NOTZERO"
  | 
| 
 | 
  1886  | 
  "BOUNDS_LINEAR_0" > "HOLLight.hollight.BOUNDS_LINEAR_0"
  | 
| 
 | 
  1887  | 
  "BOUNDS_LINEAR" > "HOLLight.hollight.BOUNDS_LINEAR"
  | 
| 
 | 
  1888  | 
  "BOUNDS_IGNORE" > "HOLLight.hollight.BOUNDS_IGNORE"
  | 
| 
 | 
  1889  | 
  "BOUNDS_DIVIDED" > "HOLLight.hollight.BOUNDS_DIVIDED"
  | 
| 
 | 
  1890  | 
  "BOTTOM_def" > "HOLLight.hollight.BOTTOM_def"
  | 
| 
 | 
  1891  | 
  "BOOL_CASES_AX" > "Datatype.bool.nchotomy"
  | 
| 
 | 
  1892  | 
  "BIT1_THM" > "HOLLightCompat.NUMERAL_BIT1_altdef"
  | 
| 
 | 
  1893  | 
  "BIT0_THM" > "HOLLightCompat.NUMERAL_BIT0_def"
  | 
| 
 | 
  1894  | 
  "BIJ_def" > "HOLLight.hollight.BIJ_def"
  | 
| 
 | 
  1895  | 
  "BETA_THM" > "Presburger.fm_modd_pinf"
  | 
| 
 | 
  1896  | 
  "ASSOC_def" > "HOLLight.hollight.ASSOC_def"
  | 
| 
 | 
  1897  | 
  "ARITH_ZERO" > "HOLLight.hollight.ARITH_ZERO"
  | 
| 
 | 
  1898  | 
  "ARITH_SUC" > "HOLLight.hollight.ARITH_SUC"
  | 
| 
 | 
  1899  | 
  "ARITH_SUB" > "HOLLight.hollight.ARITH_SUB"
  | 
| 
 | 
  1900  | 
  "ARITH_PRE" > "HOLLight.hollight.ARITH_PRE"
  | 
| 
 | 
  1901  | 
  "ARITH_ODD" > "HOLLight.hollight.ARITH_ODD"
  | 
| 
 | 
  1902  | 
  "ARITH_MULT" > "HOLLight.hollight.ARITH_MULT"
  | 
| 
 | 
  1903  | 
  "ARITH_LT" > "HOLLight.hollight.ARITH_LT"
  | 
| 
 | 
  1904  | 
  "ARITH_LE" > "HOLLight.hollight.ARITH_LE"
  | 
| 
 | 
  1905  | 
  "ARITH_EXP" > "HOLLight.hollight.ARITH_EXP"
  | 
| 
 | 
  1906  | 
  "ARITH_EVEN" > "HOLLight.hollight.ARITH_EVEN"
  | 
| 
 | 
  1907  | 
  "ARITH_EQ" > "HOLLight.hollight.ARITH_EQ"
  | 
| 
 | 
  1908  | 
  "ARITH_ADD" > "HOLLight.hollight.ARITH_ADD"
  | 
| 
 | 
  1909  | 
  "APPEND_def" > "HOLLight.hollight.APPEND_def"
  | 
| 
 | 
  1910  | 
  "APPEND_NIL" > "HOLLight.hollight.APPEND_NIL"
  | 
| 
 | 
  1911  | 
  "APPEND_EQ_NIL" > "HOLLight.hollight.APPEND_EQ_NIL"
  | 
| 
 | 
  1912  | 
  "APPEND_ASSOC" > "HOLLight.hollight.APPEND_ASSOC"
  | 
| 
 | 
  1913  | 
  "AND_FORALL_THM" > "HOL.all_conj_distrib"
  | 
| 
 | 
  1914  | 
  "AND_CLAUSES" > "HOLLight.hollight.AND_CLAUSES"
  | 
| 
 | 
  1915  | 
  "AND_ALL2" > "HOLLight.hollight.AND_ALL2"
  | 
| 
 | 
  1916  | 
  "AND_ALL" > "HOLLight.hollight.AND_ALL"
  | 
| 
 | 
  1917  | 
  "ALL_list_def" > "HOLLight.hollight.ALL_list_def"
  | 
| 
 | 
  1918  | 
  "ALL_T" > "HOLLight.hollight.ALL_T"
  | 
| 
 | 
  1919  | 
  "ALL_MP" > "HOLLight.hollight.ALL_MP"
  | 
| 
 | 
  1920  | 
  "ALL_MEM" > "HOLLight.hollight.ALL_MEM"
  | 
| 
 | 
  1921  | 
  "ALL_MAP" > "HOLLight.hollight.ALL_MAP"
  | 
| 
 | 
  1922  | 
  "ALL_IMP" > "HOLLight.hollight.ALL_IMP"
  | 
| 
 | 
  1923  | 
  "ALL_APPEND" > "HOLLight.hollight.ALL_APPEND"
  | 
| 
 | 
  1924  | 
  "ALL2_def" > "HOLLight.hollight.ALL2_def"
  | 
| 
 | 
  1925  | 
  "ALL2_MAP2" > "HOLLight.hollight.ALL2_MAP2"
  | 
| 
 | 
  1926  | 
  "ALL2_MAP" > "HOLLight.hollight.ALL2_MAP"
  | 
| 
 | 
  1927  | 
  "ALL2_AND_RIGHT" > "HOLLight.hollight.ALL2_AND_RIGHT"
  | 
| 
 | 
  1928  | 
  "ALL2_ALL" > "HOLLight.hollight.ALL2_ALL"
  | 
| 
 | 
  1929  | 
  "ALL2" > "HOLLight.hollight.ALL2"
  | 
| 
19093
 | 
  1930  | 
  "ADMISSIBLE_SUM" > "HOLLight.hollight.ADMISSIBLE_SUM"
  | 
| 
 | 
  1931  | 
  "ADMISSIBLE_NSUM" > "HOLLight.hollight.ADMISSIBLE_NSUM"
  | 
| 
17644
 | 
  1932  | 
  "ADMISSIBLE_NEST" > "HOLLight.hollight.ADMISSIBLE_NEST"
  | 
| 
 | 
  1933  | 
  "ADMISSIBLE_LAMBDA" > "HOLLight.hollight.ADMISSIBLE_LAMBDA"
  | 
| 
 | 
  1934  | 
  "ADMISSIBLE_IMP_SUPERADMISSIBLE" > "HOLLight.hollight.ADMISSIBLE_IMP_SUPERADMISSIBLE"
  | 
| 
 | 
  1935  | 
  "ADMISSIBLE_CONST" > "HOLLight.hollight.ADMISSIBLE_CONST"
  | 
| 
 | 
  1936  | 
  "ADMISSIBLE_COND" > "HOLLight.hollight.ADMISSIBLE_COND"
  | 
| 
 | 
  1937  | 
  "ADMISSIBLE_COMB" > "HOLLight.hollight.ADMISSIBLE_COMB"
  | 
| 
 | 
  1938  | 
  "ADMISSIBLE_BASE" > "HOLLight.hollight.ADMISSIBLE_BASE"
  | 
| 
 | 
  1939  | 
  "ADD_SYM" > "Finite_Set.AC_add.f.AC_2"
  | 
| 
 | 
  1940  | 
  "ADD_SUC" > "Nat.add_Suc_right"
  | 
| 
 | 
  1941  | 
  "ADD_SUBR2" > "Nat.diff_add_0"
  | 
| 
 | 
  1942  | 
  "ADD_SUBR" > "HOLLight.hollight.ADD_SUBR"
  | 
| 
 | 
  1943  | 
  "ADD_SUB2" > "Nat.diff_add_inverse"
  | 
| 
 | 
  1944  | 
  "ADD_SUB" > "Nat.diff_add_inverse2"
  | 
| 
 | 
  1945  | 
  "ADD_EQ_0" > "Nat.add_is_0"
  | 
| 
 | 
  1946  | 
  "ADD_CLAUSES" > "HOLLight.hollight.ADD_CLAUSES"
  | 
| 
 | 
  1947  | 
  "ADD_ASSOC" > "Finite_Set.AC_add.f.AC_1"
  | 
| 
 | 
  1948  | 
  "ADD_AC" > "HOLLight.hollight.ADD_AC"
  | 
| 
19093
 | 
  1949  | 
  "ADD_0" > "Presburger.add_right_zero"
  | 
| 
17644
 | 
  1950  | 
  "ADD1" > "HOLLight.hollight.ADD1"
  | 
| 
 | 
  1951  | 
  "ABS_SIMP" > "Presburger.fm_modd_pinf"
  | 
| 
 | 
  1952  | 
  "ABSORPTION" > "HOLLight.hollight.ABSORPTION"
  | 
| 
 | 
  1953  | 
  ">_def" > "HOLLight.hollight.>_def"
  | 
| 
 | 
  1954  | 
  ">=_def" > "HOLLight.hollight.>=_def"
  | 
| 
 | 
  1955  | 
  "<_def" > "HOLLight.hollight.<_def"
  | 
| 
 | 
  1956  | 
  "<=_def" > "HOLLight.hollight.<=_def"
  | 
| 
 | 
  1957  | 
  "$_def" > "HOLLight.hollight.$_def"
  | 
| 
 | 
  1958  | 
  | 
| 
 | 
  1959  | 
ignore_thms
  | 
| 
19093
 | 
  1960  | 
  "TYDEF_sum"
  | 
| 
17644
 | 
  1961  | 
  "TYDEF_prod"
  | 
| 
 | 
  1962  | 
  "TYDEF_num"
  | 
| 
 | 
  1963  | 
  "TYDEF_1"
  | 
| 
 | 
  1964  | 
  "IND_SUC_0_EXISTS"
  | 
| 
 | 
  1965  | 
  "DEF_one"
  | 
| 
 | 
  1966  | 
  "DEF__0"
  | 
| 
 | 
  1967  | 
  "DEF_SUC"
  | 
| 
 | 
  1968  | 
  "DEF_NUM_REP"
  | 
| 
19093
 | 
  1969  | 
  "DEF_INR"
  | 
| 
 | 
  1970  | 
  "DEF_INL"
  | 
| 
17644
 | 
  1971  | 
  "DEF_IND_SUC"
  | 
| 
 | 
  1972  | 
  "DEF_IND_0"
  | 
| 
 | 
  1973  | 
  | 
| 
 | 
  1974  | 
end
  |