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 (*
  13    class "wine"
  14    [ { "higher order dynamic typing" * } {
  15         [ { "higher order native type assignment" * } {
  16              [ [ "" ] "ntas ( ⦃?,?⦄ ⊢ ? :* ? )" "nta_lift" * ]
  17           }
  18         ]
  19      }
  20    ]
  21 *)
  22    class "magenta"
  23    [ { "dynamic typing" * } {
  24 (*
  25         [ { "local env. ref. for native type assignment" * } {
  26              [ [ "" ] "lsubn ( ? ⊢ ? :⫃ ? )" "lsubn_drop" "lsubn_cpcs" "lsubn_nta" * ]
  27           }
  28         ]
  29         [ { "native type assignment" * } {
  30              [ [ "" ] "nta ( ⦃?,?⦄ ⊢ ? : ? )" "nta_alt ( ⦃?,?⦄ ⊢ ? :: ? )" "nta_lift" "nta_ltpss" "nta_thin" "nta_aaa" "nta_sta" "nta_ltpr" "nta_nta" * ]
  31           }
  32         ]
  33         [ { "local env. ref. for stratified native validity" * } {
  34              [ [ "" ] "lsubsv ( ? ⊢ ? ⫃¡[?,?] ? )" "lsubsv_lsuba" + "lsubsv_lsubd" + "lsubsv_lstas" + "lsubsv_scpds" + "lsubsv_cpcs" + "lsubsv_snv" * ]
  35           }
  36         ]
  37 *)
  38         [ { "native validity" * } {
  39 (*
  40              [ [ "" ] "shnv ( ⦃?,?⦄ ⊢ ? ¡[?,?,?] )" * ]
  41 *)
  42              [ [ "for terms" ] "nv" + "( ⦃?,?⦄ ⊢ ? ![?,?] )" (* "snv_lift" + "snv_aaa" + "snv_da_lpr" + "snv_lstas" + "snv_lstas_lpr" + "snv_lpr" + "snv_fsb" + "snv_scpes" + "snv_preserve" *) * ]
  43           }
  44         ]
  45      }
  46    ]
  47    class "prune"
  48    [ { "rt-equivalence" * } {
  49 (*
  50         [ { "decomposed rt-equivalence" * } {
  51              [ [ "" ] "scpes ( ⦃?,?⦄ ⊢ ? •*⬌*[?,?,?,?] ? )" "scpes_aaa" + "scpes_cpcs" + "scpes_scpes" * ]
  52           }
  53         ]
  54 *)
  55         [ { "context-sensitive parallel r-equivalence" * } {
  56              [ [ "for terms" ] "cpcs ( ⦃?,?⦄ ⊢ ? ⬌*[?] ? )" (* "cpcs_aaa" + "cpcs_cprs" + "cpcs_cpcs" *) * ]
  57           }
  58         ]
  59      }
  60    ]
  61    class "blue"
  62    [ { "rt-conversion" * } {
  63         [ { "context-sensitive parallel r-conversion" * } {
  64              [ [ "for terms" ] "cpc" + "( ⦃?,?⦄ ⊢ ? ⬌[?] ? )" "cpc_cpc" * ]
  65           }
  66         ]
  67      }
  68    ]
  69    class "sky"
  70    [ { "rt-computation" * } {
  71 (*
  72         [ { "decomposed rt-computation" * } {
  73              [ [ "" ] "scpds ( ⦃?,?⦄ ⊢ ? •*➡*[?,?,?] ? )" "scpds_lift" + "scpds_aaa" + "scpds_scpds" * ]
  74           }
  75         ]
  76 *)
  77         [ { "context-sensitive parallel r-computation" * } {
  78 (*
  79              [ [ "" ] "lprs ( ⦃?,?⦄ ⊢ ➡* ? )" "lprs_drop" + "lprs_cprs" + "lprs_lprs" * ]
  80 *)
  81              [ [ "for terms" ] "cprs" + "( ⦃?,?⦄ ⊢ ? ➡*[?] ?)" (* "cprs_lift" + "cprs_cprs" *) * ]
  82           }
  83         ]
  84         [ { "t-bound context-sensitive parallel rt-computation" * } {
  85              [ [ "for terms" ] "cpms" + "( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )" * ]
  86           }
  87         ]
  88         [ { "unbound context-sensitive parallel rst-computation" * } {
  89              [ [ "strongly normalizing for closures" ] "fsb" + "( ≥[?,?] 𝐒⦃?,?,?⦄ )" "fsb_ffdeq" + "fsb_aaa" + "fsb_csx" + "fsb_fpbg" * ]
  90              [ [ "proper for closures" ] "fpbg" + "( ⦃?,?,?⦄ >[?,?] ⦃?,?,?⦄ )" "fpbg_fqup" + "fpbg_cpxs" + "fpbg_lfpxs" + "fpbg_fpbs" + "fpbg_fpbg" * ]
  91              [ [ "for closures" ] "fpbs" + "( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )" "fpbs_fqup" + "fpbs_fqus" + "fpbs_aaa" + "fpbs_cpx" + "fpbs_fpb" + "fpbs_cpxs" + "fpbs_lpxs" + "fpbs_lfpxs" + "fpbs_csx" + "fpbs_fpbs" * ]
  92           }
  93         ]
  94         [ { "unbound context-sensitive parallel rt-computation" * } {
  95              [ [ "refinement for lenvs on selected entries" ] "lsubsx" + "( ? ⊢ ? ⊆ⓧ[?,?,?] ? )" "lsubsx_lfsx" + "lsubsx_lsubsx" * ]
  96              [ [ "strongly normalizing for lenvs on referred entries" ] "lfsx" + "( ? ⊢ ⬈*[?,?,?] 𝐒⦃?⦄ )" "lfsx_drops" + "lfsx_fqup" + "lfsx_cpx" + "lfsx_cpxs" + "lfsx_lfpxs" + "lfsx_lfsx" * ]
  97              [ [ "strongly normalizing for term vectors" ] "csx_vector" + "( ⦃?,?⦄ ⊢ ⬈*[?,?] 𝐒⦃?⦄ )" "csx_cnx_vector" + "csx_csx_vector" * ]
  98              [ [ "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" * ]
  99              [ [ "for lenvs on referred entries" ] "lfpxs" + "( ⦃?,?⦄ ⊢ ⬈*[?,?] ? )" "lfpxs_length" + "lfpxs_drops" + "lfpxs_fqup" + "lfpxs_lfdeq" + "lfpxs_ffdeq" + "lfpxs_aaa" + "lfpxs_cpxs" + "lfpxs_lpxs" + "lfpxs_lfpxs" * ]
 100              [ [ "for lenvs on all entries" ] "lpxs" + "( ⦃?,?⦄ ⊢ ⬈*[?] ? )" "lpxs_length" + "lpxs_lpx" + "lpxs_cpxs" * ]
 101              [ [ "for binders" ] "cpxs_ext" + "( ⦃?,?⦄ ⊢ ? ⬈*[?] ? )" * ]
 102              [ [ "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" * ]
 103           }
 104         ]
 105      }
 106    ]
 107    class "cyan"
 108    [ { "rt-transition" * } {
 109         [ { "unbound parallel rst-transition" * } {
 110              [ [ "for closures" ] "fpbq" + "( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )" "fpbq_aaa" + "fpbq_fpb" * ]
 111              [ [ "proper for closures" ] "fpb" + "( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )" "fpb_lfdeq" + "fpb_ffdeq" * ]
 112           }
 113         ]
 114         [ { "context-sensitive parallel r-transition" * } {
 115              [ [ "for lenvs on referred entries" ] "lfpr" + "( ⦃?,?⦄ ⊢ ➡[?,?] ? )" "lfpr_length" + "lfpr_drops" + "lfpr_fquq" + "lfpr_fqup" + "lfpr_aaa" + "lfpr_lfpx" + "lfpr_lfpr" * ]
 116              [ [ "for binders" ] "cpr_ext" + "( ⦃?,?⦄ ⊢ ? ➡[?] ? )" * ]
 117              [ [ "for terms" ] "cpr" + "( ⦃?,?⦄ ⊢ ? ➡[?] ? )" "cpr_drops" * ]
 118           }
 119         ]
 120         [ { "t-bound context-sensitive parallel rt-transition" * } {
 121              [ [ "for terms" ] "cpm" + "( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpm_simple" + "cpm_drops" + "cpm_lsubr" + "cpm_fsle" + "cpm_cpx" * ]
 122           }
 123         ]
 124         [ { "unbound context-sensitive parallel rt-transition" * } {
 125              [ [ "normal form for terms" ] "cnx" + "( ⦃?,?⦄ ⊢ ⬈[?,?] 𝐍⦃?⦄ )" "cnx_simple" + "cnx_drops" + "cnx_cnx" * ]
 126              [ [ "for lenvs on referred entries" ] "lfpx" + "( ⦃?,?⦄ ⊢ ⬈[?,?] ? )" "lfpx_length" + "lfpx_drops" + "lfpx_fquq" + "lfpx_fqup" + "lfpx_fsle" + "lfpx_lfdeq" + "lfpx_aaa" + "lfpx_lpx" + "lfpx_lfpx" * ]
 127              [ [ "for lenvs on all entries" ] "lpx" + "( ⦃?,?⦄ ⊢ ⬈[?] ? )" * ]
 128              [ [ "for binders" ] "cpx_ext" + "( ⦃?,?⦄ ⊢ ? ⬈[?] ? )" * ]
 129              [ [ "for terms" ] "cpx" + "( ⦃?,?⦄ ⊢ ? ⬈[?] ? )" "cpx_simple" + "cpx_drops" + "cpx_fqus" + "cpx_lsubr" + "cpx_lfeq" + "cpx_lfdeq" + "cpx_ffdeq" * ]
 130           }
 131         ]
 132         [ { "bound context-sensitive parallel rt-transition" * } {
 133              [ [ "for terms" ] "cpg" + "( ⦃?,?⦄ ⊢ ? ⬈[?,?] ? )" "cpg_simple" + "cpg_drops" + "cpg_lsubr" * ]
 134           }
 135         ]
 136      }
 137    ]
 138    class "water"
 139    [ { "iterated static typing" * } {
 140         [ { "iterated generic extension of a context-sensitive relation" * } {
 141              [ [ "for lenvs on referred entries" ] "tc_lfxs" + "( ? ⦻**[?,?] ? )" "tc_lfxs_length" + "tc_lfxs_lex" + "tc_lfxs_drops" + "tc_lfxs_fqup" + "tc_lfxs_tc_lfxs" * ]
 142           }
 143         ]
 144      }
 145    ]
 146    class "green"
 147    [ { "static typing" * } {
 148         [ { "generic reducibility" * } {
 149              [ [ "restricted refinement for lenvs" ] "lsubc" + "( ? ⊢ ? ⫃[?] ? )" "lsubc_drops" + "lsubc_lsubr" + "lsubc_lsuba" * ]
 150              [ [ "candidates" ] "gcp_cr" + "( ⦃?,?,?⦄ ϵ[?] 〚?〛 )" "gcp_aaa" * ]
 151              [ [ "computation properties" ] "gcp" *]
 152           }
 153         ]
 154         [ { "atomic arity assignment" * } {
 155              [ [ "restricted refinement for lenvs" ] "lsuba" + "( ? ⊢ ? ⫃⁝ ? )" "lsuba_drops" + "lsuba_lsubr" + "lsuba_aaa" + "lsuba_lsuba" * ]
 156              [ [ "for terms" ] "aaa" + "( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_drops" + "aaa_fqus" + "aaa_lfdeq" + "aaa_ffdeq" + "aaa_aaa" * ]
 157           }
 158         ]
 159         [ { "degree-based equivalence" * } {
 160              [ [ "for closures on referred entries" ] "ffdeq" + "( ⦃?,?,?⦄ ≛[?,?] ⦃?,?,?⦄ )" "ffdeq_fqup" + "ffdeq_fqus" + "ffdeq_lfeq" + "ffdeq_ffdeq" * ]
 161              [ [ "for lenvs on referred entries" ] "lfdeq" + "( ? ≛[?,?,?] ? )" "lfdeq_length" + "lfdeq_drops" + "lfdeq_fqup" + "lfdeq_fqus" + "lfdeq_lfeq" + "lfdeq_lfdeq" * ]
 162           }
 163         ]
 164         [ { "syntactic equivalence" * } {
 165              [ [ "for lenvs on referred entries" ] "lfeq" + "( ? ≡[?] ? )" "lfeq_fqup" + "lfeq_fsle" * ]
 166           }
 167         ]
 168         [ { "generic extension of a context-sensitive relation" * } {
 169              [ [ "for lenvs on referred entries" ] "lfxs" + "( ? ⦻*[?,?] ? )" "lfxs_length" + "lfxs_lex" + "lfxs_drops" + "lfxs_fqup" + "lfxs_fsle" + "lfxs_lfxs" * ]
 170           }
 171         ]
 172         [ { "context-sensitive free variables" * } {
 173              [ [ "inclusion for restricted closures" ] "fsle" + "( ⦃?,?⦄ ⊆ ⦃?,?⦄ )" "fsle_length" + "fsle_drops" + "fsle_fqup" + "fsle_fsle" * ]
 174              [ [ "restricted refinement for lenvs" ] "lsubf" + "( ⦃?,?⦄ ⫃𝐅* ⦃?,?⦄ )" "lsubf_lsubr" + "lsubf_frees" + "lsubf_lsubf" * ]
 175              [ [ "for terms" ] "frees" + "( ? ⊢ 𝐅*⦃?⦄ ≘ ? )" "frees_append" + "frees_drops" + "frees_fqup" + "frees_frees" * ]
 176           }
 177         ]
 178         [ { "local environments" * } {
 179              [ [ "restricted refinement" ] "lsubr" + "( ? ⫃ ? )" "lsubr_length" + "lsubr_drops" + "lsubr_lsubr" * ]
 180           }
 181         ]
 182      }
 183    ]
 184    class "grass"
 185    [ { "s-computation" * } {
 186         [ { "iterated structural successor" * } {
 187              [ [ "for closures" ] "fqus" + "( ⦃?,?,?⦄ ⊐*[?] ⦃?,?,?⦄ )" + "( ⦃?,?,?⦄ ⊐* ⦃?,?,?⦄ )" "fqus_weight" + "fqus_drops" + "fqus_fqup" + "fqus_fqus" * ]
 188              [ [ "proper for closures" ] "fqup" + "( ⦃?,?,?⦄ ⊐+[?] ⦃?,?,?⦄ )" + "( ⦃?,?,?⦄ ⊐+ ⦃?,?,?⦄ )" "fqup_weight" + "fqup_drops" + "fqup_fqup" * ]
 189           }
 190         ]
 191      }
 192    ]
 193    class "yellow"
 194    [ { "s-transition" * } {
 195         [ { "structural successor" * } {
 196              [ [ "for closures" ] "fquq" + "( ⦃?,?,?⦄ ⊐⸮[?] ⦃?,?,?⦄ )" + "( ⦃?,?,?⦄ ⊐⸮ ⦃?,?,?⦄ )" "fquq_length" + "fquq_weight" * ]
 197              [ [ "proper for closures" ] "fqu" + "( ⦃?,?,?⦄ ⊐[?] ⦃?,?,?⦄ )" + "( ⦃?,?,?⦄ ⊐ ⦃?,?,?⦄ )" "fqu_length" + "fqu_weight" + "fqu_tdeq" * ]
 198           }
 199         ]
 200      }
 201    ]
 202    class "orange"
 203    [ { "relocation" * } {
 204         [ { "generic slicing" * } {
 205              [ [ "for lenvs" ] "drops" + "( ⬇*[?,?] ? ≘ ? )" + "( ⬇*[?] ? ≘ ? )" "drops_ctc" + "drops_weight" + "drops_length" + "drops_cext2" + "drops_lexs" + "drops_lreq" + "drops_drops" + "drops_vector" * ]
 206           }
 207         ]
 208         [ { "generic relocation" * } {
 209              [ [ "for binders" ] "lifts_bind" + "( ⬆*[?] ? ≘ ? )" "lifts_weight_bind" + "lifts_lifts_bind" * ]
 210              [ [ "for term vectors" ] "lifts_vector" + "( ⬆*[?] ? ≘ ? )" "lifts_lifts_vector" * ]
 211              [ [ "for terms" ] "lifts" + "( ⬆*[?] ? ≘ ? )" "lifts_simple" + "lifts_weight" + "lifts_tdeq" + "lifts_lifts" * ]
 212           }
 213         ]
 214         [ { "syntactic equivalence" * } {
 215              [ [ "for lenvs on selected entries" ] "lreq" + "( ? ≡[?] ? )" "lreq_length" + "lreq_lreq" * ]
 216           }
 217         ]
 218         [ { "generic entrywise extension" * } {
 219              [ [ "for lenvs of one contex-sensitive relation" ] "lex" + "( ? ⦻[?] ? )" "lex_tc" + "lex_length" * ]
 220              [ [ "for lenvs of two contex-sensitive relations" ] "lexs" + "( ? ⦻*[?,?,?] ? )" "lexs_tc" + "lexs_length" + "lexs_lexs" * ]
 221           }
 222         ]
 223      }
 224    ]
 225    class "red"
 226    [ { "syntax" * } {
 227         [ { "equivalence up to exclusion binders" * } {
 228              [ [ "for lenvs" ] "lveq" + "( ? ≋ⓧ*[?,?] ? )" "lveq_length" + "lveq_lveq" * ]
 229           }
 230         ]
 231         [ { "append" * } {
 232              [ [ "for lenvs" ] "append" + "( ? + ? )" "append_length" * ]
 233           }
 234         ]
 235         [ { "head equivalence" * } {
 236              [ [ "for terms" ] "theq" + "( ? ⩳[?,?] ? )" "theq_simple" + "theq_tdeq" + "theq_theq" + "theq_simple_vector" * ]
 237           }
 238         ]
 239         [ { "degree-based equivalence" * } {
 240              [ [ "" ] "tdeq_ext" + "( ? ≛[?,?] ? )" + "( ? ⊢ ? ≛[?,?] ? )" * ]
 241              [ [ "" ] "tdeq" + "( ? ≛[?,?] ? )" "tdeq_tdeq" * ]
 242           }
 243         ]
 244         [ { "closures" * } {
 245              [ [ "" ] "cl_weight" + "( ♯{?,?,?} )" * ]
 246              [ [ "" ] "cl_restricted_weight" + "( ♯{?,?} )" * ]
 247           }
 248         ]
 249         [ { "global environments" * } {
 250              [ [ "" ] "genv_length" + "( |?| )" * ]
 251              [ [ "" ] "genv_weight" + "( ♯{?} )" * ]
 252              [ [ "" ] "genv" * ]
 253           }
 254         ]
 255         [ { "local environments" * } {
 256              [ [ "" ] "ceq_ext" "ceq_ext_ceq_ext" * ]
 257              [ [ "" ] "cext2" * ]
 258              [ [ "" ] "lenv_length" + "( |?| )" * ]
 259              [ [ "" ] "lenv_weight" + "( ♯{?} )" * ]
 260              [ [ "" ] "lenv" * ]
 261           }
 262         ]
 263         [ { "binders for local environments" * } {
 264              [ [ "" ] "ext2" "ext2_tc" + "ext2_ext2" * ]
 265              [ [ "" ] "bind" "bind_weight" * ]
 266           }
 267         ]
 268         [ { "terms" * } {
 269              [ [ "" ] "term_vector" + "( Ⓐ?.? )" * ]
 270              [ [ "" ] "term_simple" + "( 𝐒⦃?⦄ )"  * ]
 271              [ [ "" ] "term_weight" + "( ♯{?} )" * ]
 272              [ [ "" ] "term" * ]
 273           }
 274         ]
 275         [ { "items" * } {
 276              [ [ "" ] "item_sd" * ]
 277              [ [ "" ] "item_sh" * ]
 278              [ [ "" ] "item" * ]
 279           }
 280         ]
 281         [ { "atomic arities" * } {
 282              [ [ "" ] "aarity" * ]
 283           }
 284         ]
 285      }
 286    ]
 287 }
 288
 289 class "top"               { * }
 290
 291 class "capitalize italic" { 0 1 }
 292
 293 class "italic"            { 2 }
 294 (*
 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 *)