X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fweb%2Fbasic_2_src.tbl;h=7ff91fa2db329b9e2a100309e6639f40bbb35029;hb=057ac901b257ea183aa3bac3f7b358a5543f8815;hp=8ed310e1ef7a2fe105d69de27cbcff2ca122f5ed;hpb=713673ecf863cb6187291f016ed4490b12a03ac0;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/web/basic_2_src.tbl b/matita/matita/contribs/lambdadelta/basic_2/web/basic_2_src.tbl
index 8ed310e1e..7ff91fa2d 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/web/basic_2_src.tbl
+++ b/matita/matita/contribs/lambdadelta/basic_2/web/basic_2_src.tbl
@@ -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_cpr_omega" * ]
+          }
+        ]
+     }
+   ]
+   class "magenta"
+   [ { "" * } {
+        [ { "" * } {
+             [ "" * ]
+          }
+        ]
+     }
+   ]
+(*   
    [ { "higher order dynamic typing" * } {
         [ { "higher order native type assignment" * } {
              [ "ntas ( ⦃?,?⦄ ⊢ ? :* ? )" "nta_lift" * ]
@@ -19,11 +34,11 @@ table {
      }
    ]
 *)
-   class "magenta"
+   class "prune"
    [ { "dynamic typing" * } {
 (*
         [ { "local env. ref. for native type assignment" * } {
-             [ "lsubn ( ? ⊢ ? :⊑ ? )" "lsubn_ldrop" "lsubn_cpcs" "lsubn_nta" * ]
+             [ "lsubn ( ? ⊢ ? :⫃ ? )" "lsubn_drop" "lsubn_cpcs" "lsubn_nta" * ]
           }
         ]
         [ { "native type assignment" * } {
@@ -31,193 +46,204 @@ 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_cpds" + "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" * ]
+             [ "snv ( ⦃?,?⦄ ⊢ ? ¡[?,?] )" "snv_lift" + "snv_aaa" + "snv_da_lpr" + "snv_lstas" + "snv_lstas_lpr" + "snv_lpr" + "snv_cpcs" + "snv_preserve" * ]
           }
         ]
      }
    ]
-   class "prune"
+   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" * } {
+             [ "cpes ( ⦃?,?⦄ ⊢ ? •*⬌*[?,?] ? )" "cpes_cpds" * ]
           }
         ]
         [ { "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 "blue"
+   class "sky"
    [ { "conversion" * } {
-        [ { "focalized conversion" * } {
-             [ "lfpc ( ⦃?⦄ ⬌ ⦃?⦄ )" "lfpc_lfpc" * ]
-             [ "fpc ( ⦃?,?⦄ ⬌ ⦃?,?⦄ )" "fpc_fpc" * ]
-          }
-        ]
         [ { "context-sensitive conversion" * } {
-             [ "cpc ( ? ⊢ ? ⬌ ? )" "cpc_cpc" * ]
+             [ "cpc ( ⦃?,?⦄ ⊢ ? ⬌ ? )" "cpc_cpc" * ]
           }
         ]
      }
    ]
-   class "sky"
+   class "cyan"
    [ { "computation" * } {
-        [ { "focalized computation" * } {
-             [ "lfprs ( ⦃?⦄ ➡* ⦃?⦄ )" "lfprs_aaa" + "lfprs_ltprs" + "lfprs_cprs" + "lfprs_fprs" + "lfprs_lfprs" * ]
-             [ "fprs ( ⦃?,?⦄ ➡* ⦃?,?⦄ )" "fprs_aaa" + "fprs_fprs" * ]
+        [ { "evaluation for context-sensitive extended reduction" * } {
+             [ "cpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ )" * ]
           }
         ]
-        [ { "decomposed extended computation" * } {
-             [ "dxprs ( ⦃?,?⦄ ⊢ ? •*➡*[?] ? )" "dxprs_lift" + "dxprs_ltpss_dx" + "dxprs_ltpss_sn" + "dxprs_aaa" + "dxprs_dxprs" * ]
+        [ { "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_cpr_vector" + "csn_tstc_vector" + "csn_aaa" * ]
-             [ "csn ( ? ⊢ ⬊* ? )" "csn_alt ( ? ⊢ ⬊⬊* ? )" "csn_lift" + "csn_cpr" + "csn_lfpr" * ]
+        [ { "strongly normalizing extended computation" * } {
+             [ "lcosx ( ? ⊢ ~⬊*[?,?,?] ? )" "lcosx_cpx" * ]
+             [ "lsx ( ? ⊢ ⬊*[?,?,?,?] ? )" "lsx_alt ( ? ⊢ ⬊⬊*[?,?,?,?] ? )" "lsx_drop" + "lsx_lpx" + "lsx_lpxs" + "llsx_csx" * ]
+             [ "csx_vector ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_tstc_vector" + "csx_aaa" * ]
+             [ "csx ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )" "csx_lift" + "csx_lleq" + "csx_lpx" + "csx_lpxs" + "csx_fpbs" * ]
           }
         ]
-        [ { "context-sensitive computation" * } {
-             [ "cprs (? ⊢ ? ➡* ?)" "cprs_lift" + "cprs_tpss" + "cprs_ltpss_dx" + "cprs_ltpss_sn" + "cprs_delift" + "cprs_aaa" + "cprs_ltpr" + "cprs_lfpr" + "cprs_cprs" + "cprs_lfprs" + "cprs_tstc" + "cprs_tstc_vector" * ]
+        [ { "\"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" * ]
           }
         ]
-        [ { "context-free computation" * } {
-             [ "ltprs ( ? ➡* ? )" "ltprs_alt ( ? ➡➡* ? )" "ltprs_ldrop" + "ltprs_ltprs" * ]
-             [ "tprs ( ? ➡* ?)" "tprs_lift" + "tprs_tprs" * ]
+        [ { "decomposed extended computation" * } {
+             [ "cpds ( ⦃?,?⦄ ⊢ ? •*➡*[?,?] ? )" "cpds_lift" + "cpds_aaa" + "cpds_cpds" * ]
+          }
+        ]
+        [ { "context-sensitive extended computation" * } {
+             [ "lpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )" "lpxs_drop" + "lpxs_lleq" + "lpxs_aaa" + "lpxs_cpxs" + "lpxs_lpxs" * ]
+             [ "cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )" "cpxs_tstc" + "cpxs_tstc_vector" + "cpxs_leq" + "cpxs_lift" + "cpxs_lleq" + "cpxs_aaa" + "cpxs_cpxs" * ]
+          }
+        ]
+        [ { "context-sensitive computation" * } {
+             [ "lprs ( ⦃?,?⦄ ⊢ ➡* ? )" "lprs_drop" + "lprs_cprs" + "lprs_lprs" * ]
+             [ "cprs ( ⦃?,?⦄ ⊢ ? ➡* ?)" "cprs_lift" + "cprs_cprs" * ]
           }
         ]
         [ { "local env. ref. for abstract candidates of reducibility" * } {
-             [ "lsubc ( ? ⊑[?] ? )" "lsubc_ldrop" + "lsubc_ldrops" + "lsubc_lsuba" * ]
+             [ "lsubc ( ? ⊢ ? ⫃[?] ? )" "lsubc_drop" + "lsubc_drops" + "lsubc_lsuba" * ]
           }
         ]
         [ { "support for abstract computation properties" * } {
-             [ "acp" "acp_cr ( ⦃?,?⦄ ϵ[?] 〚?〛 )" "acp_aaa" * ]
+             [ "acp" "acp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )" "acp_aaa" * ]
           }
         ]
      }
    ]
-   class "cyan"
-   [ { "reducibility" * } {
-        [ { "context-sensitive focalized reduction" * } {
-             [ "cfpr ( ? ⊢ ⦃?,?⦄ ➡ ⦃?,?⦄ )" "cnfpr_ltpss" + "cfpr_aaa" + "cfpr_cpr" + "cfpr_cfpr" * ]
+   class "water"
+   [ { "reduction" * } {
+        [ { "\"big tree\" parallel reduction" * } {
+             [ "fpb ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )" "fpb_lift" + "fpb_aaa" * ]
           }
         ]
-        [ { "context-free focalized reduction" * } {
-             [ "lfpr ( ⦃?⦄ ➡ ⦃?⦄ )" "lfpr_alt ( ⦃?⦄ ➡➡ ⦃?⦄ )" "lfpr_aaa" + "lfpr_cpr" + "lfpr_fpr" + "lfpr_lfpr" * ]
-             [ "fpr ( ⦃?,?⦄ ➡ ⦃?,?⦄ )" "fpr_cpr" + "fpr_fpr" * ]
+        [ { "normal forms for context-sensitive extended reduction" * } {
+             [ "cnx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐍⦃?⦄ )" "cnx_lift" + "cnx_crx" + "cnx_cix" * ]
           }
         ]
-        [ { "context-sensitive normal forms" * } {
-             [ "cnf ( ? ⊢ 𝐍⦃?⦄ )" "cnf_lift" + "cnf_cif" * ]
+        [ { "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" * ]
           }
         ]
-        [ { "revised context-sensitive reduction" * } {
-             [ "lpr ( ? ⊢ ➡ ? )" "lpr_ldrop" + "lpr_cpr" + "lpr_lpr" * ]
-             [ "cpr ( ? ⊢ ? ➡ ? )" "cpr_lift" * ]
+        [ { "irreducible forms for context-sensitive extended reduction" * } {
+             [ "cix ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐈⦃?⦄ )" "cix_lift" * ]
           }
         ]
-        [ { "context-sensitive reduction" * } {
-             [ "cpr ( ? ⊢ ? ➡ ? )" "cpr_lift" + "cpr_tpss" + "cpr_ltpss_dx" + "cpr_ltpss_sn" + "cpr_delift" + "cpr_aaa" + "cpr_ltpr" + "cpr_cpr" * ]
+        [ { "reducible forms for context-sensitive extended reduction" * } {
+             [ "crx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐑⦃?⦄ )" "crx_lift" * ]
           }
         ]
-        [ { "context-sensitive reducible forms" * } {
-             [ "crf ( ? ⊢ 𝐑⦃?⦄ )" "crf_append" "cif ( ? ⊢ 𝐈⦃?⦄ )" "cif_append" * ]
+        [ { "normal forms for context-sensitive reduction" * } {
+             [ "cnr ( ⦃?,?⦄ ⊢ ➡ 𝐍⦃?⦄ )" "cnr_lift" + "cnr_crr" + "cnr_cir" * ]
           }
         ]
-        [ { "context-free normal forms" * } {
-             [ "thnf ( 𝐇𝐍⦃?⦄ )" * ]
+        [ { "context-sensitive reduction" * } {
+             [ "lpr ( ⦃?,?⦄ ⊢ ➡ ? )" "lpr_drop" + "lpr_lpr" * ]
+             [ "cpr ( ⦃?,?⦄ ⊢ ? ➡ ? )" "cpr_lift" + "cpr_llpx_sn" + "cpr_cir" * ]
           }
         ]
-        [ { "context-free reduction" * } {
-             [ "ltpr ( ? ➡ ? )" "ltpr_ldrop" + "ltpr_tps" + "ltpr_tpss" + "ltpr_ltpss_dx" + "ltpr_ltpss_sn" + "ltpr_aaa" + "ltpr_ltpr" * ]
-             [ "tpr ( ? ➡ ? )"  "tpr_lift" + "tpr_delift" + "tpr_tpr" * ]
+        [ { "irreducible forms for context-sensitive reduction" * } {
+             [ "cir ( ⦃?,?⦄ ⊢ ➡ 𝐈⦃?⦄ )" "cir_lift" * ]
           }
         ]
-     }
-   ]
-   class "water"
-   [ { "restricted computation" * } {
-        [ { "restricted parallel computation" * } {
-             [ "lpqs ( ? ⊢ ➤* ? )" "lpqs_ldrop" + "lpqs_cpqs" + "lpqs_lpqs" * ]
-             [ "cpqs ( ? ⊢ ? ➤* ? )" "cpqs_lift" * ]
+        [ { "reducible forms for context-sensitive reduction" * } {
+             [ "crr ( ⦃?,?⦄ ⊢ ➡ 𝐑⦃?⦄ )" "crr_lift" * ]
           }
         ]
      }
-   ]   
+   ]
    class "green"
-   [ { "unwind" * } {
-        [ { "iterated stratified static type assignment" * } {
-             [ "sstas ( ⦃?,?⦄ ⊢ ? •*[?] ? )" "sstas_lift" + "sstas_lpss" + "sstas_aaa" + "sstas_sstas" * ]
+   [ { "unfold" * } {
+        [ { "unfold" * } {
+             [ "unfold ( ⦃?,?⦄ ⊢ ? ⧫* ? )" * ]
+          }
+        ]
+        [ { "iterated static type assignment" * } {
+             [ "lstas ( ⦃?,?⦄ ⊢ ? •*[?,?] ? )" "lstas_alt ( ⦃?,?⦄ ⊢ ? ••*[?,?] ? )" "lstas_lift" + "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" * ]
           }
         ]
-        [ { "local env. ref. for atomic arity assignment" * } {
-             [ "lsuba ( ? ⁝⊑ ? )" "lsuba_ldrop" + "lsuba_aaa" + "lsuba_lsuba" * ]
+        [ { "degree assignment" * } {
+             [ "da ( ⦃?,?⦄ ⊢ ? ▪[?,?] ? )" "da_lift" + "da_aaa" + "da_sta" + "da_da" * ]
           }
         ]
-        [ { "atomic arity assignment" * } {
-             [ "aaa ( ? ⊢ ? ⁝ ? )" "aaa_lift" + "aaa_lifts" + "aaa_lpss" + "aaa_aaa" * ]
+        [ { "static type assignment" * } {
+             [ "sta ( ⦃?,?⦄ ⊢ ? •[?] ? )" "sta_lift" + "sta_lpx_sn" + "sta_aaa" + "sta_sta" * ]
           }
         ]
         [ { "parameters" * } {
              [ "sh" "sd" * ]
           }
         ]
+        [ { "local env. ref. for atomic arity assignment" * } {
+             [ "lsuba ( ? ⊢ ? ⁝⫃ ? )" "lsuba_aaa" + "lsuba_lsuba" * ]
+          }
+        ]
+        [ { "atomic arity assignment" * } {
+             [ "aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_lift" + "aaa_lifts" + "aaa_fqus" + "aaa_lleq" + "aaa_aaa" * ]
+          }
+        ]
+        [ { "restricted local env. ref." * } {
+             [ "lsubr ( ? ⫃ ? )" "lsubr_lsubr" * ]
+          }
+        ]
      }
    ]
    class "yellow"
-   [ { "unfold" * } {
-(*        
-	[ { "basic local env. thinning" * } {
-             [ "thin ( ? ▼*[?,?] ≡ ? )" "thin_ldrop" + "thin_delift" * ]
+   [ { "multiple substitution" * } {
+        [ { "lazy equivalence" * } {
+             [ "fleq ( ⦃?,?,?⦄ ≡[?] ⦃?,?,?⦄ )" "fleq_fleq" * ]
+             [ "lleq ( ? ≡[?,?] ? )" "lleq_alt" + "lleq_alt_rec" + "lleq_leq" + "lleq_drop" + "lleq_fqus" + "lleq_llor" + "lleq_lleq" * ]
+          }
+        ]
+        [ { "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" * ]
           }
         ]
-        [ { "inverse basic term relocation" * } {
-             [ "delift ( ? ⊢ ? ▼*[?,?] ≡ ? )" "delift_alt ( ? ⊢ ? ▼▼*[?,?] ≡ ? )" "delift_lift" + "delift_tpss" + "delift_ltpss" + "delift_delift" * ]
+        [ { "pointwise union for local environments" * } {
+             [ "llor ( ? ⩖[?,?] ? ≡ ? )" "llor_alt" + "llor_drop" * ]
           }
         ]
-*)        
-	[ { "parallel substitution" * } {
-             [ "lpss ( ? ⊢ ▶* ? )" "lpss_ldrop" + "lpss_cpss" + "lpss_lpss" * ]
-             [ "cpss ( ? ⊢ ? ▶* ? )" "cpss_lift" * ]
+        [ { "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" * } {
@@ -234,45 +260,54 @@ table {
    class "orange"
    [ { "substitution" * } {
         [ { "structural successor for closures" * } {
-             [ "fsup ( ⦃?,?⦄ ⊃ ⦃?,?⦄ )" * ]
+             [ "fquq ( ⦃?,?,?⦄ ⊐⸮ ⦃?,?,?⦄ )" "fquq_alt ( ⦃?,?,?⦄ ⊐⊐⸮ ⦃?,?,?⦄ )" * ]
+             [ "fqu ( ⦃?,?,?⦄ ⊐ ⦃?,?,?⦄ )" * ]
           }
         ]
         [ { "global env. slicing" * } {
-             [ "gdrop ( ⇩[?] ? ≡ ? )" "gdrop_gdrop" * ]
+             [ "gget ( ⇩[?] ? ≡ ? )" "gget_gget" * ]
           }
         ]
-        [ { "basic local env. slicing" * } {
-             [ "ldrop ( ⇩[?,?] ? ≡ ? )" "ldrop_append" + "ldrop_lpx" + "ldrop_lpx_sn" + "ldrop_lbotr" + "ldrop_ldrop" * ]
+        [ { "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" * ]
           }
         ]
-        [ { "local env. ref. for substitution" * } {
-             [ "lsubr ( ? ⊑[?,?] ? )" "(lsubr_lsubr)" "lsubr_lbotr ( ⊒[?,?] ? )" * ]
+        [ { "basic local env. slicing" * } {
+             [ "drop ( ⇩[?,?,?] ? ≡ ? )"  "drop_append" + "drop_leq" + "drop_drop" * ]
           }
         ]
         [ { "basic term relocation" * } {
              [ "lift_vector ( ⇧[?,?] ? ≡ ? )" "lift_lift_vector" * ]
-             [ "lift ( ⇧[?,?] ? ≡ ? )" "lift_lift" * ]
+             [ "lift ( ⇧[?,?] ? ≡ ? )" "lift_neq" + "lift_lift" * ]
           }
         ]
      }
    ]
    class "red"
    [ { "grammar" * } {
-        [ { "same head term form" * } {
-             [ "tshf ( ? ≈ ? )" "(tshf_tshf)" * ]
+        [ { "equivalence for local environments" * } {
+             [ "leq ( ? ⩬[?,?] ? )" "leq_leq" * ]
           }
         ]
         [ { "same top term constructor" * } {
-             [ "tstc ( ? ≃ ? )" "tstc_tstc" + "tstc_vector" * ]
+             [ "tstc ( ? ≂ ? )" "tstc_tstc" + "tstc_vector" * ]
           }
         ]
         [ { "closures" * } {
-             [ "cl_shift ( ? @@ ? )" "cl_weight ( ♯{?,?} )" * ]
+             [ "cl_weight ( ♯{?,?,?} )" "cl_restricted_weight ( ♯{?,?} )" * ]
           }
         ]
         [ { "internal syntax" * } {
              [ "genv" * ]
-             [ "lenv" "lenv_weight ( ♯{?} )" "lenv_length ( |?| )" "lenv_append ( ? @@ ? )" "lenv_px" + "lenv_px_sn" + "lenv_px_bi" * ]
+             [ "lenv" "lenv_weight ( ♯{?} )" "lenv_length ( |?| )" "lenv_append ( ? @@ ? )" * ]
              [ "term" "term_weight ( ♯{?} )" "term_simple ( 𝐒⦃?⦄ )" "term_vector" * ]
              [ "item" * ]
           }