matita/matita/contribs/lambdadelta/basic_2/web/basic_2_src.tbl

   1 name "basic_2_src"
   2
   3 table {
   4    class "gray"
   5    [ { "component" * } {
   6         [ { "section" * } {
   7              [ [ "plane" ] "files" * ]
   8           }
   9         ]
  10      }
  11    ]
  12    class "wine"
  13    [ { "iterated dynamic typing" * } {
  14         [ { "" (* "higher order native type assignment" *) * } {
  15              [ [ "" ] (* "ntas ( ⦃?,?⦄ ⊢ ? :* ? )" "nta_lift" *) * ]
  16           }
  17         ]
  18      }
  19    ]
  20    class "magenta"
  21    [ { "dynamic typing" * } {
  22 (*
  23         [ { "local env. ref. for native type assignment" * } {
  24              [ [ "" ] "lsubn ( ? ⊢ ? :⫃ ? )" "lsubn_drop" "lsubn_cpcs" "lsubn_nta" * ]
  25           }
  26         ]
  27         [ { "native type assignment" * } {
  28              [ [ "" ] "nta ( ⦃?,?⦄ ⊢ ? : ? )" "nta_alt ( ⦃?,?⦄ ⊢ ? :: ? )" "nta_lift" "nta_ltpss" "nta_thin" "nta_aaa" "nta_sta" "nta_ltpr" "nta_nta" * ]
  29           }
  30         ]
  31         [ { "local env. ref. for stratified native validity" * } {
  32              [ [ "" ] "lsubsv ( ? ⊢ ? ⫃¡[?,?] ? )" "lsubsv_lsuba" + "lsubsv_lsubd" + "lsubsv_lstas" + "lsubsv_scpds" + "lsubsv_cpcs" + "lsubsv_snv" * ]
  33           }
  34         ]
  35 *)
  36         [ { "native validity" * } {
  37 (*
  38              [ [ "" ] "shnv ( ⦃?,?⦄ ⊢ ? ¡[?,?,?] )" * ]
  39 *)
  40              [ [ "for terms" ] "nv" + "( ⦃?,?⦄ ⊢ ? ![?,?] )" "nv_drops" (* + "snv_aaa" + "snv_da_lpr" + "snv_lstas" + "snv_lstas_lpr" + "snv_lpr" + "snv_fsb" + "snv_scpes" + "snv_preserve" *) * ]
  41           }
  42         ]
  43      }
  44    ]
  45    class "prune"
  46    [ { "rt-equivalence" * } {
  47 (*
  48         [ { "decomposed rt-equivalence" * } {
  49              [ [ "" ] "scpes ( ⦃?,?⦄ ⊢ ? •*⬌*[?,?,?,?] ? )" "scpes_aaa" + "scpes_cpcs" + "scpes_scpes" * ]
  50           }
  51         ]
  52 *)
  53         [ { "context-sensitive parallel r-equivalence" * } {
  54              [ [ "for terms" ] "cpcs ( ⦃?,?⦄ ⊢ ? ⬌*[?] ? )" (* "cpcs_aaa" + "cpcs_cprs" + "cpcs_cpcs" *) * ]
  55           }
  56         ]
  57      }
  58    ]
  59    class "blue"
  60    [ { "rt-conversion" * } {
  61         [ { "context-sensitive parallel r-conversion" * } {
  62              [ [ "for terms" ] "cpc" + "( ⦃?,?⦄ ⊢ ? ⬌[?] ? )" "cpc_cpc" * ]
  63           }
  64         ]
  65      }
  66    ]
  67    class "sky"
  68    [ { "rt-computation" * } {
  69 (*
  70         [ { "decomposed rt-computation" * } {
  71              "scpds_scpds"
  72           }
  73         ]
  74 *)
  75         [ { "context-sensitive parallel r-computation" * } {
  76 (*
  77              [ [ "" ] "lprs ( ⦃?,?⦄ ⊢ ➡* ? )" "lprs_drop" + "lprs_cprs" + "lprs_lprs" * ]
  78 *)
  79              [ [ "for terms" ] "cprs" + "( ⦃?,?⦄ ⊢ ? ➡*[?] ?)" "cprs_drops" (* + "cprs_cprs" *) * ]
  80           }
  81         ]
  82         [ { "t-bound context-sensitive parallel rt-computation" * } {
  83              [ [ "for terms" ] "cpms" + "( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )" "cpms_drops" + "cpms_lsubr" + "cpms_aaa" + "cpms_cpxs" * ]
  84           }
  85         ]
  86         [ { "unbound context-sensitive parallel rst-computation" * } {
  87              [ [ "strongly normalizing for closures" ] "fsb" + "( ≥[?,?] 𝐒⦃?,?,?⦄ )" "fsb_ffdeq" + "fsb_aaa" + "fsb_csx" + "fsb_fpbg" * ]
  88              [ [ "proper for closures" ] "fpbg" + "( ⦃?,?,?⦄ >[?,?] ⦃?,?,?⦄ )" "fpbg_fqup" + "fpbg_cpxs" + "fpbg_lfpxs" + "fpbg_fpbs" + "fpbg_fpbg" * ]
  89              [ [ "for closures" ] "fpbs" + "( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )" "fpbs_fqup" + "fpbs_fqus" + "fpbs_aaa" + "fpbs_cpx" + "fpbs_fpb" + "fpbs_cpxs" + "fpbs_lpxs" + "fpbs_lfpxs" + "fpbs_csx" + "fpbs_fpbs" * ]
  90           }
  91         ]
  92         [ { "unbound context-sensitive parallel rt-computation" * } {
  93              [ [ "refinement for lenvs on selected entries" ] "lsubsx" + "( ? ⊢ ? ⊆ⓧ[?,?,?] ? )" "lsubsx_lfsx" + "lsubsx_lsubsx" * ]
  94              [ [ "strongly normalizing for lenvs on referred entries" ] "rdsx" + "( ? ⊢ ⬈*[?,?,?] 𝐒⦃?⦄ )" "rdsx_length" + "rdsx_drops" + "rdsx_fqup" + "rdsx_cpxs" + "rdsx_csx" + "rdsx_rdsx" * ]
  95              [ [ "strongly normalizing for term vectors" ] "csx_vector" + "( ⦃?,?⦄ ⊢ ⬈*[?,?] 𝐒⦃?⦄ )" "csx_cnx_vector" + "csx_csx_vector" * ]
  96              [ [ "strongly normalizing for terms" ] "csx" + "( ⦃?,?⦄ ⊢ ⬈*[?,?] 𝐒⦃?⦄ )" "csx_simple" + "csx_simple_theq" + "csx_drops" + "csx_fqus" + "csx_lsubr" + "csx_lfdeq" + "csx_ffdeq" + "csx_aaa" + "csx_gcp" + "csx_gcr" + "csx_lfpx" + "csx_cnx" + "csx_fpbq" + "csx_cpxs" + "csx_lfpxs" + "csx_csx" * ]
  97              [ [ "for lenvs on referred entries" ] "lfpxs" + "( ⦃?,?⦄ ⊢ ⬈*[?,?] ? )" "lfpxs_length" + "lfpxs_drops" + "lfpxs_fqup" + "lfpxs_lfdeq" + "lfpxs_ffdeq" + "lfpxs_aaa" + "lfpxs_cpxs" + "lfpxs_lpxs" + "lfpxs_lfpxs" * ]
  98              [ [ "for lenvs on all entries" ] "lpxs" + "( ⦃?,?⦄ ⊢ ⬈*[?] ? )" "lpxs_length" + "lpxs_drops" + "lpxs_lfdeq" + "lpxs_ffdeq" + "lpxs_aaa" + "lpxs_lpx" + "lpxs_cpxs" + "lpxs_lpxs" * ]
  99              [ [ "for binders" ] "cpxs_ext" + "( ⦃?,?⦄ ⊢ ? ⬈*[?] ? )" * ]
 100              [ [ "for terms" ] "cpxs" + "( ⦃?,?⦄ ⊢ ? ⬈*[?] ? )" "cpxs_tdeq" + "cpxs_theq" + "cpxs_theq_vector" + "cpxs_drops" + "cpxs_fqus" + "cpxs_lsubr" + "cpxs_lfdeq" + "cpxs_ffdeq" + "cpxs_aaa" + "cpxs_lpx" + "cpxs_lfpx" + "cpxs_cnx" + "cpxs_cpxs" * ]
 101           }
 102         ]
 103      }
 104    ]
 105    class "cyan"
 106    [ { "rt-transition" * } {
 107         [ { "unbound parallel rst-transition" * } {
 108              [ [ "for closures" ] "fpbq" + "( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )" "fpbq_aaa" + "fpbq_fpb" * ]
 109              [ [ "proper for closures" ] "fpb" + "( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )" "fpb_lfdeq" + "fpb_ffdeq" * ]
 110           }
 111         ]
 112         [ { "context-sensitive parallel r-transition" * } {
 113              [ [ "for lenvs on all entries" ] "lpr" + "( ⦃?,?⦄ ⊢ ➡[?] ? )" "lpr_length" + "lpr_drops" + "lpr_fquq" + "lpr_aaa" + "lpr_lpx" (* + "lfpr_lfpr" *) * ]
 114              [ [ "for binders" ] "cpr_ext" + "( ⦃?,?⦄ ⊢ ? ➡[?] ? )" * ]
 115              [ [ "for terms" ] "cpr" + "( ⦃?,?⦄ ⊢ ? ➡[?] ? )" "cpr_drops" + "cpr_cpr" * ]
 116           }
 117         ]
 118         [ { "t-bound context-sensitive parallel rt-transition" * } {
 119              [ [ "for terms" ] "cpm" + "( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpm_simple" + "cpm_drops" + "cpm_lsubr" + "cpm_fsle" + "cpm_aaa" + "cpm_cpx" * ]
 120           }
 121         ]
 122         [ { "unbound context-sensitive parallel rt-transition" * } {
 123              [ [ "normal form for terms" ] "cnx" + "( ⦃?,?⦄ ⊢ ⬈[?,?] 𝐍⦃?⦄ )" "cnx_simple" + "cnx_drops" + "cnx_cnx" * ]
 124              [ [ "for lenvs on referred entries" ] "lfpx" + "( ⦃?,?⦄ ⊢ ⬈[?,?] ? )" "lfpx_length" + "lfpx_fqup" + "lfpx_fsle" + "lfpx_lfdeq" + "lfpx_lpx" + "lfpx_lfpx" * ]
 125              [ [ "for lenvs on all entries" ] "lpx" + "( ⦃?,?⦄ ⊢ ⬈[?] ? )" "lpx_length" + "lpx_drops" + "lpx_fquq" + "lpx_fsle" + "lpx_lfdeq" + "lpx_aaa" * ]
 126              [ [ "for binders" ] "cpx_ext" + "( ⦃?,?⦄ ⊢ ? ⬈[?] ? )" * ]
 127              [ [ "for terms" ] "cpx" + "( ⦃?,?⦄ ⊢ ? ⬈[?] ? )" "cpx_simple" + "cpx_drops" + "cpx_fqus" + "cpx_lsubr" + "cpx_lfeq" + "cpx_lfdeq" + "cpx_ffdeq" * ]
 128           }
 129         ]
 130         [ { "bound context-sensitive parallel rt-transition" * } {
 131              [ [ "for terms" ] "cpg" + "( ⦃?,?⦄ ⊢ ? ⬈[?,?] ? )" "cpg_simple" + "cpg_drops" + "cpg_lsubr" * ]
 132           }
 133         ]
 134      }
 135    ]
 136    class "water"
 137    [ { "iterated static typing" * } {
 138         [ { "iterated generic extension of a context-sensitive relation" * } {
 139              [ [ "for lenvs on referred entries" ] "tc_lfxs" + "( ? ⦻**[?,?] ? )" "tc_lfxs_length" + "tc_lfxs_lex" + "tc_lfxs_drops" + "tc_lfxs_fqup" + "tc_lfxs_tc_lfxs" * ]
 140           }
 141         ]
 142      }
 143    ]
 144    class "green"
 145    [ { "static typing" * } {
 146         [ { "generic reducibility" * } {
 147              [ [ "restricted refinement for lenvs" ] "lsubc" + "( ? ⊢ ? ⫃[?] ? )" "lsubc_drops" + "lsubc_lsubr" + "lsubc_lsuba" * ]
 148              [ [ "candidates" ] "gcp_cr" + "( ⦃?,?,?⦄ ϵ[?] 〚?〛 )" "gcp_aaa" * ]
 149              [ [ "computation properties" ] "gcp" *]
 150           }
 151         ]
 152         [ { "atomic arity assignment" * } {
 153              [ [ "restricted refinement for lenvs" ] "lsuba" + "( ? ⊢ ? ⫃⁝ ? )" "lsuba_drops" + "lsuba_lsubr" + "lsuba_aaa" + "lsuba_lsuba" * ]
 154              [ [ "for terms" ] "aaa" + "( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_drops" + "aaa_fqus" + "aaa_lfdeq" + "aaa_ffdeq" + "aaa_aaa" * ]
 155           }
 156         ]
 157         [ { "degree-based equivalence" * } {
 158              [ [ "for closures on referred entries" ] "ffdeq" + "( ⦃?,?,?⦄ ≛[?,?] ⦃?,?,?⦄ )" "ffdeq_fqup" + "ffdeq_fqus" + "ffdeq_lfeq" + "ffdeq_ffdeq" * ]
 159              [ [ "for lenvs on referred entries" ] "lfdeq" + "( ? ≛[?,?,?] ? )" "lfdeq_length" + "lfdeq_drops" + "lfdeq_fqup" + "lfdeq_fqus" + "lfdeq_lfeq" + "lfdeq_lfdeq" * ]
 160           }
 161         ]
 162         [ { "syntactic equivalence" * } {
 163              [ [ "for lenvs on referred entries" ] "lfeq" + "( ? ≡[?] ? )" "lfeq_fqup" + "lfeq_fsle" * ]
 164           }
 165         ]
 166         [ { "generic extension of a context-sensitive relation" * } {
 167              [ [ "for lenvs on referred entries" ] "lfxs" + "( ? ⦻*[?,?] ? )" "lfxs_length" + "lfxs_lex" + "lfxs_drops" + "lfxs_fqup" + "lfxs_fsle" + "lfxs_lfxs" * ]
 168           }
 169         ]
 170         [ { "context-sensitive free variables" * } {
 171              [ [ "inclusion for restricted closures" ] "fsle" + "( ⦃?,?⦄ ⊆ ⦃?,?⦄ )" "fsle_length" + "fsle_drops" + "fsle_fqup" + "fsle_fsle" * ]
 172              [ [ "restricted refinement for lenvs" ] "lsubf" + "( ⦃?,?⦄ ⫃𝐅* ⦃?,?⦄ )" "lsubf_lsubr" + "lsubf_frees" + "lsubf_lsubf" * ]
 173              [ [ "for terms" ] "frees" + "( ? ⊢ 𝐅*⦃?⦄ ≘ ? )" "frees_append" + "frees_drops" + "frees_fqup" + "frees_frees" * ]
 174           }
 175         ]
 176         [ { "local environments" * } {
 177              [ [ "restricted refinement" ] "lsubr" + "( ? ⫃ ? )" "lsubr_length" + "lsubr_drops" + "lsubr_lsubr" * ]
 178           }
 179         ]
 180      }
 181    ]
 182    class "grass"
 183    [ { "s-computation" * } {
 184         [ { "iterated structural successor" * } {
 185              [ [ "for closures" ] "fqus" + "( ⦃?,?,?⦄ ⊐*[?] ⦃?,?,?⦄ )" + "( ⦃?,?,?⦄ ⊐* ⦃?,?,?⦄ )" "fqus_weight" + "fqus_drops" + "fqus_fqup" + "fqus_fqus" * ]
 186              [ [ "proper for closures" ] "fqup" + "( ⦃?,?,?⦄ ⊐+[?] ⦃?,?,?⦄ )" + "( ⦃?,?,?⦄ ⊐+ ⦃?,?,?⦄ )" "fqup_weight" + "fqup_drops" + "fqup_fqup" * ]
 187           }
 188         ]
 189      }
 190    ]
 191    class "yellow"
 192    [ { "s-transition" * } {
 193         [ { "structural successor" * } {
 194              [ [ "for closures" ] "fquq" + "( ⦃?,?,?⦄ ⊐⸮[?] ⦃?,?,?⦄ )" + "( ⦃?,?,?⦄ ⊐⸮ ⦃?,?,?⦄ )" "fquq_length" + "fquq_weight" * ]
 195              [ [ "proper for closures" ] "fqu" + "( ⦃?,?,?⦄ ⊐[?] ⦃?,?,?⦄ )" + "( ⦃?,?,?⦄ ⊐ ⦃?,?,?⦄ )" "fqu_length" + "fqu_weight" + "fqu_tdeq" * ]
 196           }
 197         ]
 198      }
 199    ]
 200    class "orange"
 201    [ { "relocation" * } {
 202         [ { "generic slicing" * } {
 203              [ [ "for lenvs" ] "drops" + "( ⬇*[?,?] ? ≘ ? )" + "( ⬇*[?] ? ≘ ? )" "drops_ctc" + "drops_ltc" + "drops_weight" + "drops_length" + "drops_cext2" + "drops_lexs" + "drops_lex" + "drops_lreq" + "drops_drops" + "drops_vector" * ]
 204           }
 205         ]
 206         [ { "generic relocation" * } {
 207              [ [ "for binders" ] "lifts_bind" + "( ⬆*[?] ? ≘ ? )" "lifts_weight_bind" + "lifts_lifts_bind" * ]
 208              [ [ "for term vectors" ] "lifts_vector" + "( ⬆*[?] ? ≘ ? )" "lifts_lifts_vector" * ]
 209              [ [ "for terms" ] "lifts" + "( ⬆*[?] ? ≘ ? )" "lifts_simple" + "lifts_weight" + "lifts_tdeq" + "lifts_lifts" * ]
 210           }
 211         ]
 212         [ { "syntactic equivalence" * } {
 213              [ [ "for lenvs on selected entries" ] "lreq" + "( ? ≡[?] ? )" "lreq_length" + "lreq_lreq" * ]
 214           }
 215         ]
 216         [ { "generic entrywise extension" * } {
 217              [ [ "for lenvs of one contex-sensitive relation" ] "lex" + "( ? ⦻[?] ? )" "lex_tc" + "lex_length" + "lex_lex" * ]
 218              [ [ "for lenvs of two contex-sensitive relations" ] "lexs" + "( ? ⦻*[?,?,?] ? )" "lexs_tc" + "lexs_length" + "lexs_lexs" * ]
 219           }
 220         ]
 221      }
 222    ]
 223    class "red"
 224    [ { "syntax" * } {
 225         [ { "equivalence up to exclusion binders" * } {
 226              [ [ "for lenvs" ] "lveq" + "( ? ≋ⓧ*[?,?] ? )" "lveq_length" + "lveq_lveq" * ]
 227           }
 228         ]
 229         [ { "append" * } {
 230              [ [ "for lenvs" ] "append" + "( ? + ? )" "append_length" * ]
 231           }
 232         ]
 233         [ { "head equivalence" * } {
 234              [ [ "for terms" ] "theq" + "( ? ⩳[?,?] ? )" "theq_simple" + "theq_tdeq" + "theq_theq" + "theq_simple_vector" * ]
 235           }
 236         ]
 237         [ { "degree-based equivalence" * } {
 238              [ [ "" ] "tdeq_ext" + "( ? ≛[?,?] ? )" + "( ? ⊢ ? ≛[?,?] ? )" * ]
 239              [ [ "" ] "tdeq" + "( ? ≛[?,?] ? )" "tdeq_tdeq" * ]
 240           }
 241         ]
 242         [ { "closures" * } {
 243              [ [ "" ] "cl_weight" + "( ♯{?,?,?} )" * ]
 244              [ [ "" ] "cl_restricted_weight" + "( ♯{?,?} )" * ]
 245           }
 246         ]
 247         [ { "global environments" * } {
 248              [ [ "" ] "genv_length" + "( |?| )" * ]
 249              [ [ "" ] "genv_weight" + "( ♯{?} )" * ]
 250              [ [ "" ] "genv" * ]
 251           }
 252         ]
 253         [ { "local environments" * } {
 254              [ [ "" ] "ceq_ext" "ceq_ext_ceq_ext" * ]
 255              [ [ "" ] "cext2" * ]
 256              [ [ "" ] "lenv_length" + "( |?| )" * ]
 257              [ [ "" ] "lenv_weight" + "( ♯{?} )" * ]
 258              [ [ "" ] "lenv" * ]
 259           }
 260         ]
 261         [ { "binders for local environments" * } {
 262              [ [ "" ] "ext2" "ext2_tc" + "ext2_ext2" * ]
 263              [ [ "" ] "bind" "bind_weight" * ]
 264           }
 265         ]
 266         [ { "terms" * } {
 267              [ [ "" ] "term_vector" + "( Ⓐ?.? )" * ]
 268              [ [ "" ] "term_simple" + "( 𝐒⦃?⦄ )"  * ]
 269              [ [ "" ] "term_weight" + "( ♯{?} )" * ]
 270              [ [ "" ] "term" * ]
 271           }
 272         ]
 273         [ { "items" * } {
 274              [ [ "" ] "item_sd" * ]
 275              [ [ "" ] "item_sh" * ]
 276              [ [ "" ] "item" * ]
 277           }
 278         ]
 279         [ { "atomic arities" * } {
 280              [ [ "" ] "aarity" * ]
 281           }
 282         ]
 283      }
 284    ]
 285 }
 286
 287 class "top"               { * }
 288
 289 class "capitalize italic" { 0 1 }
 290
 291 class "italic"            { 2 }
 292 (*
 293         [ [ "for lenvs on referred entries" ]
 294               "lfpr" + "( ⦃?,?⦄ ⊢ ➡[?,?] ? )" "lfpr_length" + "lfpr_drops" + "lfpr_fquq" + "lfpr_fqup" + "lfpr_aaa" + "lfpr_lfpx" + "lfpr_lfpr" * ]
 295         [ { "evaluation for context-sensitive rt-reduction" * } {
 296              [ [ "" ] "cpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ )" * ]
 297           }
 298         ]
 299         [ { "evaluation for context-sensitive reduction" * } {
 300              [ [ "" ] "cpre ( ⦃?,?⦄ ⊢ ➡* 𝐍⦃?⦄ )" "cpre_cpre" * ]
 301           }
 302         ]
 303         [ { "normal forms for context-sensitive rt-reduction" * } {
 304              [ [ "" ] "cnx_crx" + "cnx_cix" * ]
 305           }
 306         ]
 307         [ { "irreducible forms for context-sensitive rt-reduction" * } {
 308              [ [ "" ] "cix ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐈⦃?⦄ )" "cix_lift" * ]
 309           }
 310         ]
 311         [ { "reducible forms for context-sensitive rt-reduction" * } {
 312              [ [ "" ] "crx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐑⦃?⦄ )" "crx_lift" * ]
 313           }
 314         ]
 315         [ { "normal forms for context-sensitive reduction" * } {
 316              [ [ "" ] "cnr ( ⦃?,?⦄ ⊢ ➡ 𝐍⦃?⦄ )" "cnr_lift" + "cnr_crr" + "cnr_cir" * ]
 317           }
 318         ]
 319         [ { "irreducible forms for context-sensitive reduction" * } {
 320              [ [ "" ] "cir ( ⦃?,?⦄ ⊢ ➡ 𝐈⦃?⦄ )" "cir_lift" * ]
 321           }
 322         ]
 323         [ { "reducible forms for context-sensitive reduction" * } {
 324              [ [ "" ] "crr ( ⦃?,?⦄ ⊢ ➡ 𝐑⦃?⦄ )" "crr_lift" * ]
 325           }
 326         ]
 327         [ { "unfold" * } {
 328              [ [ "" ] "unfold ( ⦃?,?⦄ ⊢ ? ⧫* ? )" * ]
 329           }
 330         ]
 331         [ { "iterated static type assignment" * } {
 332              [ [ "" ] "lstas ( ⦃?,?⦄ ⊢ ? •*[?,?] ? )" "lstas_lift" + "lstas_llpx_sn.ma" + "lstas_aaa" + "lstas_da" + "lstas_lstas" * ]
 333           }
 334         ]
 335         [ { "local env. ref. for degree assignment" * } {
 336              [ [ "" ] "lsubd ( ? ⊢ ? ⫃▪[?,?] ? )" "lsubd_da" + "lsubd_lsubd" * ]
 337           }
 338         ]
 339         [ { "degree assignment" * } {
 340              [ [ "" ] "da ( ⦃?,?⦄ ⊢ ? ▪[?,?] ? )" "da_lift" + "da_aaa" + "da_da" * ]
 341           }
 342         ]
 343         [ { "context-sensitive multiple rt-substitution" * } {
 344              [ [ "" ] "cpys ( ⦃?,?⦄ ⊢ ? ▶*[?,?] ? )" "cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*[?,?] ? )" "cpys_lift" + "cpys_cpys" * ]
 345           }
 346         ]
 347         [ { "global env. slicing" * } {
 348              [ [ "" ] "gget ( ⬇[?] ? ≘ ? )" "gget_gget" * ]
 349           }
 350         ]
 351         [ { "context-sensitive ordinary rt-substitution" * } {
 352              [ [ "" ] "cpy ( ⦃?,?⦄ ⊢ ? ▶[?,?] ? )" "cpy_lift" + "cpy_nlift" + "cpy_cpy" * ]
 353           }
 354         ]
 355         [ { "local env. ref. for rt-substitution" * } {
 356              [ [ "" ] "lsuby ( ? ⊆[?,?] ? )" "lsuby_lsuby" * ]
 357           }
 358         ]
 359 *)