new definition of lleq allows to complete the proof of lemma 1000

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / web / basic_2_src.tbl

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 d91e8d6293ade379ae0d362d785fef4c890f0efa..e920ea057072d90aaf7fb1252fe47c579918dde5 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/web/basic_2_src.tbl
+++ b/matita/matita/contribs/lambdadelta/basic_2/web/basic_2_src.tbl
@@ -80,18 +80,24 @@ table {
           }
         ]
         [ { "strongly normalizing \"big tree\" computation" * } {
-             [ "fsb ( ⦃?,?⦄ ⊢ ⦥[?,?] ? )" "fsb_alt ( ⦃?,?⦄ ⊢ ⦥⦥[?,?] ? )" "fsb_fleq" + "fsb_csx" * ]
+             [ "fsb ( ⦃?,?⦄ ⊢ ⦥[?,?] ? )" "fsb_alt ( ⦃?,?⦄ ⊢ ⦥⦥[?,?] ? )" "fsb_aaa" + "fsb_csx" * ]
           }
-       ]
-       [ { "strongly normalizing extended computation" * } {
+        ]
+        [ { "strongly normalizing extended computation" * } {
+             [ "lsx ( ? ⊢ ⬊*[?,?,?] ? )" "lsx_cpxs" + "lsx_csx" * ]
              [ "csx_vector ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_tstc_vector" + "csx_aaa" * ]
-             [ "csx ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )" "csx_lift" + "csx_lpx" * ]
+             [ "csx ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )" "csx_lift" + "csx_lpx" + "csx_fpbs" * ]
           }
         ]
         [ { "\"big tree\" parallel computation" * } {
-            [ "fpbr ( ⦃?,?,?⦄ ⊃≥[?,?] ⦃?,?,?⦄ )" "fpbr_fpbr" * ]             
-            [ "fpbg ( ⦃?,?,?⦄ >[?,?] ⦃?,?,?⦄ )" "fpbg_lift" + "fpbg_fpbg" * ]
-             [ "fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )" "fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )" "fpbs_lift" + "fpbs_fleq" + "fpbs_fpbs" * ]
+             [ "fpbg ( ⦃?,?,?⦄ >⋕[?,?] ⦃?,?,?⦄ )" "fpbg_lift" + "fpbg_fpns" + "fpbg_fpbg" * ]
+             [ "fpbc ( ⦃?,?,?⦄ ≻⋕[?,?] ⦃?,?,?⦄ )" "fpbc_fpns" + "fpbc_fpbs" * ]
+             [ "fpbu ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )" "fpbu_lift" + "fpbu_fpns" * ]
+             [ "fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )" "fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )" "fpbs_lift" + "fpbs_aaa" + "fpbs_fpns" + "fpbs_fpbs" * ]
+          }
+        ]
+        [ { "parallel computation for \"big tree\" normal forms" * } {
+             [ "fpns ( ⦃?,?,?⦄ ⊢ ⋕➡*[?,?] ⦃?,?,?⦄ )" "fpns_fpns" * ]
           }
         ]
         [ { "decomposed extended computation" * } {
@@ -99,8 +105,8 @@ table {
           }
         ]
         [ { "context-sensitive extended computation" * } {
-             [ "lpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )" "lpxs_alt ( ⦃?,?⦄ ⊢ ➡➡*[?,?] ? )" "lpxs_ldrop" + "lpxs_aaa" + "lpxs_cpxs" + "lpxs_lpxs" * ]
-             [ "cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )" "cpxs_tstc" + "cpxs_tstc_vector" + "cpxs_lift" + "cpxs_aaa" + "cpxs_cpxs" * ]
+             [ "lpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )" "lpxs_alt ( ⦃?,?⦄ ⊢ ➡➡*[?,?] ? )" "lpxs_ldrop" + "lpxs_lleq" + "lpxs_aaa" + "lpxs_cpxs" + "lpxs_lpxs" * ]
+             [ "cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )" "cpxs_tstc" + "cpxs_tstc_vector" + "cpxs_lift" + "cpxs_lleq" + "cpxs_aaa" + "cpxs_cpxs" * ]
           }
         ]
         [ { "context-sensitive computation" * } {
@@ -121,8 +127,7 @@ table {
    class "water"
    [ { "reduction" * } {
         [ { "\"big tree\" parallel reduction" * } {
-             [ "fpbc ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )" "fpbc_lift" * ]
-             [ "fpb ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )" "fpb_lift" * ]
+             [ "fpb ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )" "fpb_lift" + "fpb_aaa" * ]
           }
         ]
         [ { "context-sensitive extended normal forms" * } {
@@ -130,8 +135,8 @@ table {
           }
         ]
         [ { "context-sensitive extended reduction" * } {
-             [ "lpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )" "lpx_ldrop" + "lpx_aaa" * ]
-             [ "cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpx_lift" + "cpx_cix" * ]
+             [ "lpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )" "lpx_ldrop" + "lpx_lleq" + "lpx_aaa" * ]
+             [ "cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpx_lift" + "cpx_lleq" + "cpx_cix" * ]
           }
         ]
         [ { "context-sensitive extended irreducible forms" * } {
@@ -180,7 +185,7 @@ table {
           }
         ]
         [ { "atomic arity assignment" * } {
-             [ "aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_lift" + "aaa_lifts" + "aaa_da" + "aaa_ssta" + "aaa_aaa" * ]
+             [ "aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_lift" + "aaa_lifts" + "aaa_fqus" + "aaa_da" + "aaa_ssta" + "aaa_aaa" * ]
           }
         ]
         [ { "stratified static type assignment" * } {
@@ -203,10 +208,14 @@ table {
    ]
    class "yellow"
    [ { "substitution" * } {
-        [ { "restricted local env. ref." * } {
-             [ "lsubr ( ? ⊑ ? )" "lsubr_lsubr" * ]
+        [ { "lazy equivalence for local environments" * } {
+             [ "lleq ( ? ⋕[?,?] ? )" "lleq_alt ( ? ⋕⋕[?,?] ? )" "lleq_ldrop" + "lleq_fqus" + "lleq_lleq" * ]
           }
         ]
+        [ { "contxt-sensitive extended multiple substitution" * } {
+             [ "cpys ( ⦃?,?⦄ ⊢ ? ▶*×[?,?] ? )" "cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*×[?,?] ? )" "cpys_lift" + "cpys_cpys" * ]
+          }
+        ]        
         [ { "iterated structural successor for closures" * } {
              [ "fqus ( ⦃?,?,?⦄ ⊃* ⦃?,?,?⦄ )" "fqus_alt" + "fqus_fqus" * ]
              [ "fqup ( ⦃?,?,?⦄ ⊃+ ⦃?,?,?⦄ )" "fqup_fqup" * ]
@@ -229,15 +238,24 @@ table {
    ]
    class "orange"
    [ { "relocation" * } {
-        [ { "structural successor for closures" * } {
-             [ "fqu ( ⦃?,?,?⦄ ⊃ ⦃?,?,?⦄ )" "fquq ( ⦃?,?,?⦄ ⊃⸮ ⦃?,?,?⦄ )" "fquq_alt ( ⦃?,?,?⦄ ⊃⊃⸮ ⦃?,?,?⦄ )" * ]
+        [ { "contxt-sensitive extended ordinary substitution" * } {
+             [ "cpy ( ⦃?,?⦄ ⊢ ? ▶×[?,?] ? )" "cpy_lift" + "cpy_cpy" * ]
+          }
+        ]        
+        [ { "local env. ref. for extended substitution" * } {
+             [ "lsuby ( ? ⊑×[?,?] ? )" "lsuby_lsuby" * ]
           }
         ]
-       [ { "lazy equivalence for closures" * } {
-             [ "fleq ( ⦃?,?,?⦄ ⋕ ⦃?,?,?⦄ )" "fleq_fleq" * ]
+        [ { "restricted local env. ref." * } {
+             [ "lsubr ( ? ⊑ ? )" "lsubr_lsubr" * ]
           }
-        ]        
-       [ { "global env. slicing" * } {
+        ]
+        [ { "structural successor for closures" * } {
+             [ "fquq ( ⦃?,?,?⦄ ⊃⸮ ⦃?,?,?⦄ )" "fquq_alt ( ⦃?,?,?⦄ ⊃⊃⸮ ⦃?,?,?⦄ )" * ]
+             [ "fqu ( ⦃?,?,?⦄ ⊃ ⦃?,?,?⦄ )" * ]
+          }
+        ]
+        [ { "global env. slicing" * } {
              [ "gdrop ( ⇩[?] ? ≡ ? )" "gdrop_gdrop" * ]
           }
         ]