syntactic components detached from basic_2 become static_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / csx_aaa.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_aaa.ma
index fb7dad49881660af75a627421747eec0f8d542dc..6cc0664aae5a3b5f3339f306e56a6cf0d228a3e4 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_aaa.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_aaa.ma
@@ -12,12 +12,12 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/static/gcp_aaa.ma".
+include "static_2/static/gcp_aaa.ma".
 include "basic_2/rt_computation/cpxs_aaa.ma".
 include "basic_2/rt_computation/csx_gcp.ma".
 include "basic_2/rt_computation/csx_gcr.ma".
 
-(* STRONGLY NORMALIZING TERMS FOR UNCOUNTED PARALLEL RT-TRANSITION **********)
+(* STRONGLY NORMALIZING TERMS FOR UNBOUND PARALLEL RT-TRANSITION ************)
 
 (* Main properties with atomic arity assignment *****************************)
 
@@ -28,33 +28,33 @@ qed.
 
 (* Advanced eliminators *****************************************************)
 
-fact aaa_ind_csx_aux: ∀h,o,G,L,A. ∀R:predicate term.
+fact aaa_ind_csx_aux: ∀h,o,G,L,A. ∀Q:predicate term.
                       (∀T1. ⦃G, L⦄ ⊢ T1 ⁝ A →
-                            (â\88\80T2. â¦\83G, Lâ¦\84 â\8a¢ T1 â¬\88[h] T2 â\86\92 (T1 â\89¡[h, o] T2 â\86\92 â\8a¥) â\86\92 R T2) â\86\92 R T1
+                            (â\88\80T2. â¦\83G, Lâ¦\84 â\8a¢ T1 â¬\88[h] T2 â\86\92 (T1 â\89\9b[h, o] T2 â\86\92 â\8a¥) â\86\92 Q T2) â\86\92 Q T1
                       ) →
-                      ∀T. ⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃T⦄ → ⦃G, L⦄ ⊢ T ⁝ A → R T.
-#h #o #G #L #A #R #IH #T #H @(csx_ind … H) -T /4 width=5 by cpx_aaa_conf/
+                      ∀T. ⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃T⦄ → ⦃G, L⦄ ⊢ T ⁝ A →  Q T.
+#h #o #G #L #A #Q #IH #T #H @(csx_ind … H) -T /4 width=5 by cpx_aaa_conf/
 qed-.
 
-lemma aaa_ind_csx: ∀h,o,G,L,A. ∀R:predicate term.
+lemma aaa_ind_csx: ∀h,o,G,L,A. ∀Q:predicate term.
                    (∀T1. ⦃G, L⦄ ⊢ T1 ⁝ A →
-                         (â\88\80T2. â¦\83G, Lâ¦\84 â\8a¢ T1 â¬\88[h] T2 â\86\92 (T1 â\89¡[h, o] T2 â\86\92 â\8a¥) â\86\92 R T2) â\86\92 R T1
+                         (â\88\80T2. â¦\83G, Lâ¦\84 â\8a¢ T1 â¬\88[h] T2 â\86\92 (T1 â\89\9b[h, o] T2 â\86\92 â\8a¥) â\86\92 Q T2) â\86\92 Q T1
                    ) →
-                   ∀T. ⦃G, L⦄ ⊢ T ⁝ A → R T.
+                   ∀T. ⦃G, L⦄ ⊢ T ⁝ A → Q T.
 /5 width=9 by aaa_ind_csx_aux, aaa_csx/ qed-.
 
-fact aaa_ind_csx_cpxs_aux: ∀h,o,G,L,A. ∀R:predicate term.
+fact aaa_ind_csx_cpxs_aux: ∀h,o,G,L,A. ∀Q:predicate term.
                            (∀T1. ⦃G, L⦄ ⊢ T1 ⁝ A →
-                                 (â\88\80T2. â¦\83G, Lâ¦\84 â\8a¢ T1 â¬\88*[h] T2 â\86\92 (T1 â\89¡[h, o] T2 â\86\92 â\8a¥) â\86\92 R T2) â\86\92 R T1
+                                 (â\88\80T2. â¦\83G, Lâ¦\84 â\8a¢ T1 â¬\88*[h] T2 â\86\92 (T1 â\89\9b[h, o] T2 â\86\92 â\8a¥) â\86\92 Q T2) â\86\92 Q T1
                            ) →
-                           ∀T. ⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃T⦄ → ⦃G, L⦄ ⊢ T ⁝ A → R T.
-#h #o #G #L #A #R #IH #T #H @(csx_ind_cpxs … H) -T /4 width=5 by cpxs_aaa_conf/
+                           ∀T. ⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃T⦄ → ⦃G, L⦄ ⊢ T ⁝ A →  Q T.
+#h #o #G #L #A #Q #IH #T #H @(csx_ind_cpxs … H) -T /4 width=5 by cpxs_aaa_conf/
 qed-.
 
 (* Basic_2A1: was: aaa_ind_csx_alt *)
-lemma aaa_ind_csx_cpxs: ∀h,o,G,L,A. ∀R:predicate term.
+lemma aaa_ind_csx_cpxs: ∀h,o,G,L,A. ∀Q:predicate term.
                         (∀T1. ⦃G, L⦄ ⊢ T1 ⁝ A →
-                              (â\88\80T2. â¦\83G, Lâ¦\84 â\8a¢ T1 â¬\88*[h] T2 â\86\92 (T1 â\89¡[h, o] T2 â\86\92 â\8a¥) â\86\92 R T2) â\86\92 R T1
+                              (â\88\80T2. â¦\83G, Lâ¦\84 â\8a¢ T1 â¬\88*[h] T2 â\86\92 (T1 â\89\9b[h, o] T2 â\86\92 â\8a¥) â\86\92 Q T2) â\86\92 Q T1
                         ) →
-                        ∀T. ⦃G, L⦄ ⊢ T ⁝ A → R T.
+                        ∀T. ⦃G, L⦄ ⊢ T ⁝ A → Q T.
 /5 width=9 by aaa_ind_csx_cpxs_aux, aaa_csx/ qed-.