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