]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/web/basic_2_src.tbl
notational change of lift, drop, and gget
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / web / basic_2_src.tbl
index 21fd5fcca9d0bb7197c950cd40432712ffeaa2fc..4b1bbe19ff7bca0c12e8f7a7e1b388b178c5f301 100644 (file)
@@ -1,7 +1,7 @@
 name "basic_2_src"
 
 table {
-   class "grey"
+   class "gray"
    [ { "component" * } {
         [ { "plane" * } {
              [ "files" * ]
@@ -9,8 +9,23 @@ table {
         ]
      }
    ]
-(*
+   class "wine"
+   [ { "examples" * } {
+        [ { "terms with special features" * } {
+             [ "ex_sta_ldec" + "ex_cpr_omega" * ]
+          }
+        ]
+     }
+   ]
    class "magenta"
+   [ { "" * } {
+        [ { "" * } {
+             [ "" * ]
+          }
+        ]
+     }
+   ]
+(*   
    [ { "higher order dynamic typing" * } {
         [ { "higher order native type assignment" * } {
              [ "ntas ( ⦃?,?⦄ ⊢ ? :* ? )" "nta_lift" * ]
@@ -23,7 +38,7 @@ table {
    [ { "dynamic typing" * } {
 (*
         [ { "local env. ref. for native type assignment" * } {
-             [ "lsubn ( ? â\8a¢ ? :â\8a\91 ? )" "lsubn_ldrop" "lsubn_cpcs" "lsubn_nta" * ]
+             [ "lsubn ( ? â\8a¢ ? :â«\83 ? )" "lsubn_drop" "lsubn_cpcs" "lsubn_nta" * ]
           }
         ]
         [ { "native type assignment" * } {
@@ -31,208 +46,266 @@ table {
           }
         ]
 *)
-        [ { "\"big tree\" parallel computation" * } {
-             [ "yprs ( ? ⊢ ⦃?,?⦄ ≥[g] ⦃?,?⦄ )" "yprs_yprs"  "ygt ( ? ⊢ ⦃?,?⦄ >[g] ⦃?,?⦄ )" "ygt_ygt" * ]
-          }
-        ]
-        [ { "\"big tree\" parallel reduction" * } {
-             [ "ypr ( ? ⊢ ⦃?,?⦄ ≽[g] ⦃?,?⦄ )" "ysc ( ? ⊢ ⦃?,?⦄ ≻[g] ⦃?,?⦄ )" * ]
-          }
-        ]
         [ { "local env. ref. for stratified native validity" * } {
-             [ "lsubsv ( ? ⊢ ? ¡⊑[?] ? )" "lsubsv_ldrop" + "lsubsv_lsuba" + "lsubsv_ssta" + "lsubsv_dxprs" + "lsubsv_cpcs" + "lsubsv_snv" * ]
+             [ "lsubsv ( ? ⊢ ? ⫃¡[?,?] ? )" "lsubsv_lsuba" + "lsubsv_lsubd" + "lsubsv_lstas" + "lsubsv_scpds" + "lsubsv_cpcs" + "lsubsv_snv" * ]
           }
         ]
         [ { "stratified native validity" * } {
-             [ "snv ( ⦃?,?⦄ ⊢ ? ¡[?] )" "snv_lift" + "snv_ltpss_dx" + "snv_ltpss_sn" + "snv_aaa" + "snv_ssta" + "snv_sstas" + "snv_ssta_ltpr" + "snv_ltpr" + "snv_cpcs" * ]
+             [ "shnv ( ⦃?,?⦄ ⊢ ? ¡[?,?,?] )" * ]
+             [ "snv ( ⦃?,?⦄ ⊢ ? ¡[?,?] )" "snv_lift" + "snv_aaa" + "snv_da_lpr" + "snv_lstas" + "snv_lstas_lpr" + "snv_lpr" + "snv_scpes" + "snv_preserve" * ]
           }
         ]
      }
    ]
    class "blue"
    [ { "equivalence" * } {
-        [ { "focalized equivalence" * } {
-             [ "lfpcs ( ⦃?⦄ ⬌* ⦃?⦄ )" "lfpcs_aaa" + "lfpcs_fpcs" + "lfpcs_lfprs" + "lfpcs_lfpcs" * ]
-             [ "fpcs ( ⦃?,?⦄ ⬌* ⦃?,?⦄ )" "fpcs_aaa" + "fpcs_cpcs" + "fpcs_fprs" + "fpcs_fpcs" * ]
-          }
-        ]
-        [ { "local env. ref. for stratified static type assignment" * } {
-             [ "lsubss ( ? •⊑[?] ? )" "lsubss_ldrop" + "lsubss_ssta" + "lsubss_cpcs" * ]
+        [ { "decomposed extended equivalence" * } {
+             [ "scpes ( ⦃?,?⦄ ⊢ ? •*⬌*[?,?,?,?] ? )" "scpes_aaa" + "scpes_cpcs" + "scpes_scpes" * ]
           }
         ]
         [ { "context-sensitive equivalence" * } {
-             [ "cpcs ( ? ⊢ ? ⬌* ? )" "cpcs_ltpss_dx" + "cpcs_ltpss_sn" + "cpcs_delift" + "cpcs_aaa" + "cpcs_ltpr" + "cpcs_cprs" + "cpcs_cpcs" * ]
+             [ "cpcs ( ⦃?,?⦄ ⊢ ? ⬌* ? )" "cpcs_aaa" + "cpcs_cprs" + "cpcs_cpcs" * ]
           }
         ]
      }
    ]
    class "sky"
    [ { "conversion" * } {
-        [ { "focalized conversion" * } {
-             [ "lfpc ( ⦃?⦄ ⬌ ⦃?⦄ )" "lfpc_lfpc" * ]
-             [ "fpc ( ⦃?,?⦄ ⬌ ⦃?,?⦄ )" "fpc_fpc" * ]
-          }
-        ]
         [ { "context-sensitive conversion" * } {
-             [ "cpc ( ? ⊢ ? ⬌ ? )" "cpc_cpc" * ]
+             [ "cpc ( ⦃?,?⦄ ⊢ ? ⬌ ? )" "cpc_cpc" * ]
           }
         ]
      }
    ]
    class "cyan"
    [ { "computation" * } {
-        [ { "decomposed extended computation" * } {
-             [ "dxprs ( ⦃?,?⦄ ⊢ ? •*➡*[?] ? )" "dxprs_lift" + "dxprs_lpss" + "dxprs_aaa" + "dxprs_dxprs" * ]
+        [ { "evaluation for context-sensitive extended reduction" * } {
+             [ "cpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ )" * ]
+          }
+        ]
+        [ { "evaluation for context-sensitive reduction" * } {
+             [ "cpre ( ⦃?,?⦄ ⊢ ➡* 𝐍⦃?⦄ )" "cpre_cpre" * ]
           }
         ]
-        [ { "weakly normalizing computation" * } {
-             [ "cpe ( ? ⊢ ➡* 𝐍⦃?⦄ )" "cpe_cpe" * ]
+        [ { "strongly normalizing \"big tree\" computation" * } {
+             [ "fsb ( ⦃?,?⦄ ⊢ ⦥[?,?] ? )" "fsb_alt ( ⦃?,?⦄ ⊢ ⦥⦥[?,?] ? )" "fsb_aaa" + "fsb_csx" * ]
           }
         ]
-        [ { "strongly normalizing computation" * } {
-             [ "csn_vector ( ? ⊢ ⬊* ? )" "csn_tstc_vector" + "csn_aaa" * ]
-             [ "csn ( ? ⊢ ⬊* ? )" "csn_alt ( ? ⊢ ⬊⬊* ? )" "csn_lift" + "csn_lpr" * ]
+        [ { "strongly normalizing extended computation" * } {
+             [ "lcosx ( ? ⊢ ~⬊*[?,?,?] ? )" "lcosx_cpx" * ]
+             [ "lsx ( ? ⊢ ⬊*[?,?,?,?] ? )" "lsx_alt ( ? ⊢ ⬊⬊*[?,?,?,?] ? )" "lsx_drop" + "lsx_lpx" + "lsx_lpxs" + "llsx_csx" * ]
+             [ "csx_vector ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_tsts_vector" + "csx_aaa" * ]
+             [ "csx ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )" "csx_lift" + "csx_lleq" + "csx_lpx" + "csx_lpxs" + "csx_fpbs" * ]
+          }
+        ]
+        [ { "\"big tree\" parallel computation" * } {
+             [ "fpbg ( ⦃?,?,?⦄ >≡[?,?] ⦃?,?,?⦄ )" "fpbg_lift" + "fpbg_fleq" + "fpbg_fpbg" * ]
+             [ "fpbc ( ⦃?,?,?⦄ ≻≡[?,?] ⦃?,?,?⦄ )" "fpbc_fleq" + "fpbc_fpbs" * ]
+             [ "fpbu ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )" "fpbu_lift" + "fpbu_lleq" + "fpbu_fleq" * ]
+             [ "fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )" "fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )" "fpbs_lift" + "fpbs_fleq" + "fpbs_aaa" + "fpbs_fpbs" + "fpbs_ext" * ]
+          }
+        ]
+        [ { "decomposed extended computation" * } {
+             [ "scpds ( ⦃?,?⦄ ⊢ ? •*➡*[?,?,?] ? )" "scpds_lift" + "scpds_aaa" + "scpds_scpds" * ]
+          }
+        ]
+        [ { "context-sensitive extended computation" * } {
+             [ "lpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )" "lpxs_drop" + "lpxs_lleq" + "lpxs_aaa" + "lpxs_cpxs" + "lpxs_lpxs" * ]
+             [ "cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )" "cpxs_tsts" + "cpxs_tsts_vector" + "cpxs_leq" + "cpxs_lift" + "cpxs_lleq" + "cpxs_aaa" + "cpxs_cpxs" * ]
           }
         ]
         [ { "context-sensitive computation" * } {
-             [ "lprs ( ? ⊢ ➡* ? )" "lprs_alt ( ? ⊢ ➡➡* ? )" "lprs_ldrop" + "lprs_lpss" + "lprs_aaa" + "lprs_cprs" + "lprs_lprs" * ]
-             [ "cprs ( ? ⊢ ? ➡* ?)" "cprs_tstc" + "cprs_tstc_vector" + "cprs_lift" + "cprs_lpss" + "cprs_aaa" + "cprs_cprs" * ]
+             [ "lprs ( ⦃?,?⦄ ⊢ ➡* ? )" "lprs_drop" + "lprs_cprs" + "lprs_lprs" * ]
+             [ "cprs ( ⦃?,?⦄ ⊢ ? ➡* ?)" "cprs_lift" + "cprs_cprs" * ]
           }
         ]
-        [ { "local env. ref. for abstract candidates of reducibility" * } {
-             [ "lsubc ( ? â\8a\91[?] ? )" "lsubc_ldrop" + "lsubc_ldrops" + "lsubc_lsuba" * ]
+        [ { "local env. ref. for generic reducibility" * } {
+             [ "lsubc ( ? â\8a¢ ? â«\83[?] ? )" "lsubc_drop" + "lsubc_drops" + "lsubc_lsuba" * ]
           }
         ]
-        [ { "support for abstract computation properties" * } {
-             [ "acp" "acp_cr ( ⦃?,?⦄ ϵ[?] 〚?〛 )" "acp_aaa" * ]
+        [ { "support for generic computation properties" * } {
+             [ "gcp" "gcp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )" "gcp_aaa" * ]
           }
         ]
      }
    ]
    class "water"
    [ { "reduction" * } {
-        [ { "context-sensitive normal forms" * } {
-             [ "cnf ( ? ⊢ 𝐍⦃?⦄ )" "cnf_liftt" + "cnf_crf" + "cnf_cif" * ]
+        [ { "\"big tree\" parallel reduction" * } {
+             [ "fpb ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )" "fpb_lift" + "fpb_aaa" * ]
+          }
+        ]
+        [ { "normal forms for context-sensitive extended reduction" * } {
+             [ "cnx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐍⦃?⦄ )" "cnx_lift" + "cnx_crx" + "cnx_cix" * ]
+          }
+        ]
+        [ { "context-sensitive extended reduction" * } {
+             [ "lpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )" "lpx_drop" + "lpx_frees" + "lpx_lleq" + "lpx_aaa" * ]
+             [ "cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpx_leq" + "cpx_lift" + "cpx_llpx_sn" + "cpx_lleq" + "cpx_cix" * ]
+          }
+        ]
+        [ { "irreducible forms for context-sensitive extended reduction" * } {
+             [ "cix ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐈⦃?⦄ )" "cix_lift" * ]
+          }
+        ]
+        [ { "reducible forms for context-sensitive extended reduction" * } {
+             [ "crx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐑⦃?⦄ )" "crx_lift" * ]
+          }
+        ]
+        [ { "normal forms for context-sensitive reduction" * } {
+             [ "cnr ( ⦃?,?⦄ ⊢ ➡ 𝐍⦃?⦄ )" "cnr_lift" + "cnr_crr" + "cnr_cir" * ]
           }
         ]
         [ { "context-sensitive reduction" * } {
-             [ "lpr ( ? ⊢ ➡ ? )" "lpr_ldrop" + "lpr_lpss" + "lpr_aaa" + "lpr_lpr" * ]
-             [ "cpr ( ? ⊢ ? ➡ ? )" "cpr_lift" + "cpr_cif" * ]
+             [ "lpr ( ⦃?,?⦄ ⊢ ➡ ? )" "lpr_drop" + "lpr_lpr" * ]
+             [ "cpr ( ⦃?,?⦄ ⊢ ? ➡ ? )" "cpr_lift" + "cpr_llpx_sn" + "cpr_cir" * ]
+          }
+        ]
+        [ { "irreducible forms for context-sensitive reduction" * } {
+             [ "cir ( ⦃?,?⦄ ⊢ ➡ 𝐈⦃?⦄ )" "cir_lift" * ]
           }
         ]
-        [ { "context-sensitive reducible forms" * } {
-             [ "crf ( ? ⊢ 𝐑⦃?⦄ )" "crf_append" "cif ( ? ⊢ 𝐈⦃?⦄ )" "cif_append" * ]
+        [ { "reducible forms for context-sensitive reduction" * } {
+             [ "crr ( ⦃?,?⦄ ⊢ ➡ 𝐑⦃?⦄ )" "crr_lift" * ]
           }
         ]
      }
    ]
    class "green"
    [ { "unfold" * } {
-        [ { "restricted parallel computation" * } {
-             [ "lpqs ( ? ⊢ ➤* ? )" "lpqs_ldrop" + "lpqs_cpqs" + "lpqs_lpqs" * ]
-             [ "cpqs ( ? ⊢ ? ➤* ? )" "cpqs_lift" * ]
-          }
-        ]
         [ { "unfold" * } {
-             [ "unfold ( ? ⊢ ? ⧫* ? )" * ]
+             [ "unfold ( ⦃?,?⦄ ⊢ ? ⧫* ? )" * ]
           }
         ]
-        [ { "iterated stratified static type assignment" * } {
-             [ "sstas ( ⦃?,?⦄ ⊢ ? •*[?] ? )" "sstas_lift" + "sstas_lpss" + "sstas_aaa" + "sstas_sstas" * ]
+        [ { "iterated static type assignment" * } {
+             [ "lstas ( ⦃?,?⦄ ⊢ ? •*[?,?] ? )" "lstas_lift" + "lstas_llpx_sn.ma" + "lstas_aaa" + "lstas_da" + "lstas_lstas" * ]
           }
         ]
      }
    ]
    class "grass"
    [ { "static typing" * } {
-        [ { "stratified static type assignment" * } {
-             [ "ssta ( ⦃?,?⦄ ⊢ ? •[?,?] ? )" "ssta_lift" + "ssta_lpss" + "ssta_aaa" + "ssta_ssta" * ]
+        [ { "local env. ref. for degree assignment" * } {
+             [ "lsubd ( ? ⊢ ? ⫃▪[?,?] ? )" "lsubd_da" + "lsubd_lsubd" * ]
+          }
+        ]
+        [ { "degree assignment" * } {
+             [ "da ( ⦃?,?⦄ ⊢ ? ▪[?,?] ? )" "da_lift" + "da_aaa" + "da_da" * ]
+          }
+        ]
+        [ { "parameters" * } {
+             [ "sh" "sd" * ]
           }
         ]
         [ { "local env. ref. for atomic arity assignment" * } {
-             [ "lsuba ( ? â\81\9dâ\8a\91 ? )" "lsuba_ldrop" + "lsuba_aaa" + "lsuba_lsuba" * ]
+             [ "lsuba ( ? â\8a¢ ? â«\83â\81\9d ? )" "lsuba_aaa" + "lsuba_lsuba" * ]
           }
         ]
         [ { "atomic arity assignment" * } {
-             [ "aaa ( ? ⊢ ? ⁝ ? )" "aaa_lift" + "aaa_lifts" + "aaa_lpss" + "aaa_aaa" * ]
+             [ "aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_lift" + "aaa_lifts" + "aaa_fqus" + "aaa_lleq" + "aaa_aaa" * ]
           }
         ]
-        [ { "parameters" * } {
-             [ "sh" "sd" * ]
+        [ { "restricted local env. ref." * } {
+             [ "lsubr ( ? ⫃ ? )" "lsubr_lsubr" * ]
           }
         ]
      }
    ]
    class "yellow"
-   [ { "substitution" * } {
-       [ { "parallel substitution" * } {
-             [ "lpss ( ? ⊢ ▶* ? )" "lpss_ldrop" + "lpss_cpss" + "lpss_lpss" * ]
-             [ "cpss ( ? ⊢ ? ▶* ? )" "cpss_lift" * ]
+   [ { "multiple substitution" * } {
+        [ { "lazy equivalence" * } {
+             [ "fleq ( ⦃?,?,?⦄ ≡[?] ⦃?,?,?⦄ )" "fleq_fleq" * ]
+             [ "lleq ( ? ≡[?,?] ? )" "lleq_alt" + "lleq_alt_rec" + "lleq_leq" + "lleq_drop" + "lleq_fqus" + "lleq_llor" + "lleq_lleq" * ]
           }
-        ]        
-        [ { "local env. ref. for substitution" * } {
-             [ "lsubr ( ? ⊑ ? )" "lsubr_lsubr" * ]
+        ]
+        [ { "lazy pointwise extension of a relation" * } {
+             [ "llpx_sn" "llpx_sn_alt" + "llpx_sn_alt_rec" + "llpx_sn_tc" + "llpx_sn_leq" + "llpx_sn_drop" + "llpx_sn_lpx_sn" + "llpx_sn_frees" + "llpx_sn_llor" * ]
+          }
+        ]
+        [ { "pointwise union for local environments" * } {
+             [ "llor ( ? ⩖[?,?] ? ≡ ? )" "llor_alt" + "llor_drop" * ]
+          }
+        ]
+        [ { "context-sensitive exclusion from free variables" * } {
+             [ "frees ( ? ⊢ ? ϵ 𝐅*[?]⦃?⦄ )" "frees_append" + "frees_leq" + "frees_lift" * ]
+          }
+        ]
+        [ { "contxt-sensitive extended multiple substitution" * } {
+             [ "cpys ( ⦃?,?⦄ ⊢ ? ▶*[?,?] ? )" "cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*[?,?] ? )" "cpys_lift" + "cpys_cpys" * ]
           }
         ]
         [ { "iterated structural successor for closures" * } {
-             [ "fsups ( ⦃?,?⦄ ⊃* ⦃?,?⦄ )" "fsups_fsups" * ]
-             [ "fsupp ( ⦃?,?⦄ ⊃+ ⦃?,?⦄ )" "fsupp_fsupp" * ]
+             [ "fqus ( ⦃?,?,?⦄ ⊐* ⦃?,?,?⦄ )" "fqus_alt" + "fqus_fqus" * ]
+             [ "fqup ( ⦃?,?,?⦄ ⊐+ ⦃?,?,?⦄ )" "fqup_fqup" * ]
           }
         ]
-        [ { "generic local env. slicing" * } {
-             [ "ldrops ( ⇩*[?] ? ≡ ? )" "ldrops_ldrop" + "ldrops_ldrops" * ]
+        [ { "iterated local env. slicing" * } {
+             [ "drops ( ⬇*[?,?] ? ≡ ? )" "drops_drop" + "drops_drops" * ]
           }
         ]
         [ { "generic term relocation" * } {
-             [ "lifts_vector ( â\87§*[?] ? ≡ ? )" "lifts_lift_vector" * ]
-             [ "lifts ( â\87§*[?] ? ≡ ? )" "lifts_lift" + "lifts_lifts" * ]
+             [ "lifts_vector ( â¬\86*[?] ? ≡ ? )" "lifts_lift_vector" * ]
+             [ "lifts ( â¬\86*[?] ? ≡ ? )" "lifts_lift" + "lifts_lifts" * ]
           }
         ]
-        [ { "support for generic relocation" * } {
-             [ "gr2 ( @⦃?,?⦄ ≡ ? )" "gr2_plus ( ? + ? )" "gr2_minus ( ? ▭ ? ≡ ? )" "gr2_gr2" * ]
+        [ { "support for multiple relocation" * } {
+             [ "mr2 ( @⦃?,?⦄ ≡ ? )" "mr2_plus ( ? + ? )" "mr2_minus ( ? ▭ ? ≡ ? )" "mr2_mr2" * ]
           }
         ]
      }
    ]
    class "orange"
-   [ { "relocation" * } {
+   [ { "substitution" * } {
         [ { "structural successor for closures" * } {
-             [ "fsup ( ⦃?,?⦄ ⊃ ⦃?,?⦄ )" * ]
+             [ "fquq ( ⦃?,?,?⦄ ⊐⸮ ⦃?,?,?⦄ )" "fquq_alt ( ⦃?,?,?⦄ ⊐⊐⸮ ⦃?,?,?⦄ )" * ]
+             [ "fqu ( ⦃?,?,?⦄ ⊐ ⦃?,?,?⦄ )" * ]
           }
         ]
         [ { "global env. slicing" * } {
-             [ "gdrop ( ⇩[?] ? ≡ ? )" "gdrop_gdrop" * ]
+             [ "gget ( ⬇[?] ? ≡ ? )" "gget_gget" * ]
+          }
+        ]
+        [ { "contxt-sensitive extended ordinary substitution" * } {
+             [ "cpy ( ⦃?,?⦄ ⊢ ? ▶[?,?] ? )" "cpy_lift" + "cpy_nlift" + "cpy_cpy" * ]
+          }
+        ]
+        [ { "local env. ref. for extended substitution" * } {
+             [ "lsuby ( ? ⊆[?,?] ? )" "lsuby_lsuby" * ]
+          }
+        ]
+        [ { "pointwise extension of a relation" * } {
+             [ "lpx_sn" "lpx_sn_alt" + "lpx_sn_tc" + "lpx_sn_drop" + "lpx_sn_lpx_sn" * ]
           }
         ]
         [ { "basic local env. slicing" * } {
-             [ "ldrop ( ⇩[?,?] ? ≡ ? )" "ldrop_append" + "ldrop_lpx_sn" + "ldrop_ldrop" * ]
+             [ "drop ( ⬇[?,?,?] ? ≡ ? )"  "drop_append" + "drop_leq" + "drop_drop" * ]
           }
         ]
         [ { "basic term relocation" * } {
-             [ "lift_vector ( â\87§[?,?] ? ≡ ? )" "lift_lift_vector" * ]
-             [ "lift ( â\87§[?,?] ? â\89¡ ? )" "lift_lift" * ]
+             [ "lift_vector ( â¬\86[?,?] ? ≡ ? )" "lift_lift_vector" * ]
+             [ "lift ( â¬\86[?,?] ? â\89¡ ? )" "lift_neq" + "lift_lift" * ]
           }
         ]
      }
    ]
    class "red"
    [ { "grammar" * } {
-       [ { "pointwise extension of a relation" * } {
-             [ "lpx_sn" "lpx_sn_tc" + "lpx_sn_lpx_sn" * ]
+        [ { "equivalence for local environments" * } {
+             [ "leq ( ? ⩬[?,?] ? )" "leq_leq" * ]
           }
         ]
-        [ { "same top term constructor" * } {
-             [ "tstc ( ? ≃ ? )" "tstc_tstc" + "tstc_vector" * ]
+        [ { "same top term structure" * } {
+             [ "tsts ( ? ≂ ? )" "tsts_tsts" + "tsts_vector" * ]
           }
         ]
         [ { "closures" * } {
-             [ "cl_shift ( ? @@ ? )" "cl_weight ( ♯{?,?} )" * ]
+             [ "cl_weight ( ♯{?,?,?} )" "cl_restricted_weight ( ♯{?,?} )" * ]
           }
         ]
         [ { "internal syntax" * } {
              [ "genv" * ]
              [ "lenv" "lenv_weight ( ♯{?} )" "lenv_length ( |?| )" "lenv_append ( ? @@ ? )" * ]
-             [ "term" "term_weight ( ♯{?} )" "term_simple ( 𝐒⦃?⦄ )" "term_vector" * ]
+             [ "term" "term_weight ( ♯{?} )" "term_simple ( 𝐒⦃?⦄ )" "term_vector ( Ⓐ?.? )" * ]
              [ "item" * ]
           }
         ]
@@ -244,8 +317,8 @@ table {
    ]
 }
 
-class "component" { 0 }
+class "top"               { * }
 
-class "plane" { 1 }
+class "capitalize italic" { 0 }
 
-class "file" { 2 * }
+class "italic"            { 1 }