X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcnuw_cnuw.ma;h=9c7439bbcc8a71efd77b39b28f73153e4185f2d1;hb=b118146b97959e6a6dde18fdd014b8e1e676a2d1;hp=6cde759d97b1a3c44c9d6ddb4a02b126bca3d05d;hpb=db020b4218272e2e35641ce3bc3b0a9b3afda899;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cnuw_cnuw.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cnuw_cnuw.ma
index 6cde759d9..9c7439bbc 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cnuw_cnuw.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cnuw_cnuw.ma
@@ -14,7 +14,7 @@
 
 include "basic_2/rt_computation/cnuw_simple.ma".
 include "basic_2/rt_computation/cnuw_drops.ma".
-include "basic_2/rt_computation/cprs_tweq.ma".
+include "basic_2/rt_computation/cprs_teqw.ma".
 include "basic_2/rt_computation/lprs_cpms.ma".
 
 (* NORMAL TERMS FOR T-UNUNBOUND WHD RT-TRANSITION ***************************)
@@ -22,57 +22,57 @@ include "basic_2/rt_computation/lprs_cpms.ma".
 (* Advanced inversion lemmas ************************************************)
 
 lemma cnuw_inv_abbr_pos (h) (G) (L):
-      ∀V,T. ⦃G,L⦄ ⊢ ➡𝐍𝐖*[h] +ⓓV.T → ⊥.
+      ∀V,T. ❪G,L❫ ⊢ ➡𝐍𝐖*[h] +ⓓV.T → ⊥.
 #h #G #L #V #T1 #H
-elim (cprs_abbr_pos_twneq h G L V T1) #T2 #HT12 #HnT12
+elim (cprs_abbr_pos_tneqw h G L V T1) #T2 #HT12 #HnT12
 /3 width=2 by/
 qed-.
 
 (* Advanced properties ******************************************************)
 
-lemma cnuw_abbr_neg (h) (G) (L): ∀V,T. ⦃G,L⦄ ⊢ ➡𝐍𝐖*[h] -ⓓV.T.
+lemma cnuw_abbr_neg (h) (G) (L): ∀V,T. ❪G,L❫ ⊢ ➡𝐍𝐖*[h] -ⓓV.T.
 #h #G #L #V1 #T1 #n #X #H
 elim (cpms_inv_abbr_sn_dx … H) -H *
-[ #V2 #T2 #_ #_ #H destruct /1 width=1 by tweq_abbr_neg/
+[ #V2 #T2 #_ #_ #H destruct /1 width=1 by teqw_abbr_neg/
 | #X1 #_ #_ #H destruct
 ]
 qed.
 
-lemma cnuw_abst (h) (p) (G) (L): ∀W,T. ⦃G,L⦄ ⊢ ➡𝐍𝐖*[h] ⓛ{p}W.T.
+lemma cnuw_abst (h) (p) (G) (L): ∀W,T. ❪G,L❫ ⊢ ➡𝐍𝐖*[h] ⓛ[p]W.T.
 #h #p #G #L #W1 #T1 #n #X #H
 elim (cpms_inv_abst_sn … H) -H #W2 #T2 #_ #_ #H destruct
-/1 width=1 by tweq_abst/
+/1 width=1 by teqw_abst/
 qed.
 
 lemma cnuw_cpms_trans (h) (n) (G) (L):
-      ∀T1. ⦃G,L⦄ ⊢ ➡𝐍𝐖*[h] T1 →
-      ∀T2. ⦃G,L⦄ ⊢ T1 ➡*[n,h] T2 → ⦃G,L⦄ ⊢ ➡𝐍𝐖*[h] T2.
+      ∀T1. ❪G,L❫ ⊢ ➡𝐍𝐖*[h] T1 →
+      ∀T2. ❪G,L❫ ⊢ T1 ➡*[h,n] T2 → ❪G,L❫ ⊢ ➡𝐍𝐖*[h] T2.
 #h #n1 #G #L #T1 #HT1 #T2 #HT12 #n2 #T3 #HT23
-/4 width=5 by cpms_trans, tweq_canc_sn/
+/4 width=5 by cpms_trans, teqw_canc_sn/
 qed-.
 
 lemma cnuw_dec_ex (h) (G) (L):
-      ∀T1. ∨∨ ⦃G,L⦄ ⊢ ➡𝐍𝐖*[h] T1
-            | ∃∃n,T2. ⦃G,L⦄ ⊢ T1 ➡*[n,h] T2 & (T1 ≅ T2 → ⊥).
+      ∀T1. ∨∨ ❪G,L❫ ⊢ ➡𝐍𝐖*[h] T1
+            | ∃∃n,T2. ❪G,L❫ ⊢ T1 ➡*[h,n] T2 & (T1 ≃ T2 → ⊥).
 #h #G #L #T1 elim T1 -T1 *
 [ #s /3 width=5 by cnuw_sort, or_introl/
 | #i elim (drops_F_uni L i)
   [ /3 width=7 by cnuw_atom_drops, or_introl/
   | * * [ #I | * #V ] #K #HLK
     [ /3 width=8 by cnuw_unit_drops, or_introl/
-    | elim (lifts_total V 𝐔❴↑i❵) #W #HVW
+    | elim (lifts_total V 𝐔❨↑i❩) #W #HVW
       @or_intror @(ex2_2_intro … W) [1,2: /2 width=7 by cpms_delta_drops/ ] #H
-      lapply (tweq_inv_lref_sn … H) -H #H destruct
+      lapply (teqw_inv_lref_sn … H) -H #H destruct
       /2 width=5 by lifts_inv_lref2_uni_lt/
-    | elim (lifts_total V 𝐔❴↑i❵) #W #HVW
+    | elim (lifts_total V 𝐔❨↑i❩) #W #HVW
       @or_intror @(ex2_2_intro … W) [1,2: /2 width=7 by cpms_ell_drops/ ] #H
-      lapply (tweq_inv_lref_sn … H) -H #H destruct
+      lapply (teqw_inv_lref_sn … H) -H #H destruct
       /2 width=5 by lifts_inv_lref2_uni_lt/
     ]
   ]
 | #l /3 width=5 by cnuw_gref, or_introl/
 | #p * [ cases p ] #V1 #T1 #_ #_
-  [ elim (cprs_abbr_pos_twneq h G L V1 T1) #T2 #HT12 #HnT12
+  [ elim (cprs_abbr_pos_tneqw h G L V1 T1) #T2 #HT12 #HnT12
     /4 width=4 by ex2_2_intro, or_intror/
   | /3 width=5 by cnuw_abbr_neg, or_introl/
   | /3 width=5 by cnuw_abst, or_introl/
@@ -83,21 +83,21 @@ lemma cnuw_dec_ex (h) (G) (L):
       [ /3 width=6 by cnuw_appl_simple, or_introl/
       | * #n #T2 #HT12 #HnT12 -HT1
         @or_intror @(ex2_2_intro … n (ⓐV1.T2)) [ /2 width=1 by cpms_appl_dx/ ] #H
-        lapply (tweq_inv_appl_bi … H) -H /2 width=1 by/
+        lapply (teqw_inv_appl_bi … H) -H /2 width=1 by/
       ]
-    | elim (lifts_total V1 𝐔❴1❵) #X1 #HVX1
-      @or_intror @(ex2_2_intro … (ⓓ{p}W1.ⓐX1.U1)) [1,2: /2 width=3 by cpms_theta/ ] #H
-      elim (tweq_inv_appl_sn … H) -H #X1 #X2 #_ #H destruct
-    | @or_intror @(ex2_2_intro … (ⓓ{p}ⓝW1.V1.U1)) [1,2: /2 width=2 by cpms_beta/ ] #H
-      elim (tweq_inv_appl_sn … H) -H #X1 #X2 #_ #H destruct
+    | elim (lifts_total V1 𝐔❨1❩) #X1 #HVX1
+      @or_intror @(ex2_2_intro … (ⓓ[p]W1.ⓐX1.U1)) [1,2: /2 width=3 by cpms_theta/ ] #H
+      elim (teqw_inv_appl_sn … H) -H #X1 #X2 #_ #H destruct
+    | @or_intror @(ex2_2_intro … (ⓓ[p]ⓝW1.V1.U1)) [1,2: /2 width=2 by cpms_beta/ ] #H
+      elim (teqw_inv_appl_sn … H) -H #X1 #X2 #_ #H destruct
     ]
   | @or_intror @(ex2_2_intro … T1) [1,2: /2 width=2 by cpms_eps/ ] #H
-    /2 width=4 by tweq_inv_cast_xy_y/
+    /2 width=4 by teqw_inv_cast_xy_y/
   ]
 ]
 qed-.
 
-lemma cnuw_dec (h) (G) (L): ∀T. Decidable (⦃G,L⦄ ⊢ ➡𝐍𝐖*[h] T).
+lemma cnuw_dec (h) (G) (L): ∀T. Decidable (❪G,L❫ ⊢ ➡𝐍𝐖*[h] T).
 #h #G #L #T1
 elim (cnuw_dec_ex h G L T1)
 [ /2 width=1 by or_introl/