update in static_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_fqus.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_fqus.ma
index 778ba66811968708ea961416b4ea52e3c12bb429..d4b4d6520560719658f3444ba2c3a6dd1006cf7e 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_fqus.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_fqus.ma
@@ -61,13 +61,13 @@ qed-.
 (* Basic_2A1: uses: fqu_cpxs_trans_neq *)
 lemma fqu_cpxs_trans_tneqx (b):
       ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ⬂[b] ❪G2,L2,T2❫ →
-      â\88\80U2. â\9dªG2,L2â\9d« â\8a¢ T2 â¬\88* U2 â\86\92 (T2 â\89\9b U2 → ⊥) →
-      â\88\83â\88\83U1. â\9dªG1,L1â\9d« â\8a¢ T1 â¬\88* U1 & T1 â\89\9b U1 → ⊥ & ❪G1,L1,U1❫ ⬂[b] ❪G2,L2,U2❫.
+      â\88\80U2. â\9dªG2,L2â\9d« â\8a¢ T2 â¬\88* U2 â\86\92 (T2 â\89\85 U2 → ⊥) →
+      â\88\83â\88\83U1. â\9dªG1,L1â\9d« â\8a¢ T1 â¬\88* U1 & T1 â\89\85 U1 → ⊥ & ❪G1,L1,U1❫ ⬂[b] ❪G2,L2,U2❫.
 #b #G1 #G2 #L1 #L2 #T1 #T2 #H elim H -G1 -G2 -L1 -L2 -T1 -T2
 [ #I #G #L #V1 #V2 #HV12 #_ elim (lifts_total V2 𝐔❨1❩)
   #U2 #HVU2 @(ex3_intro … U2)
   [1,3: /3 width=7 by cpxs_delta, fqu_drop/
-  | #H lapply (teqx_inv_lref1 … H) -H
+  | #H lapply (teqg_inv_lref1 … H) -H
     #H destruct /2 width=5 by lifts_inv_lref2_uni_lt/
   ]
 | #I #G #L #V1 #T #V2 #HV12 #H0 @(ex3_intro … (②[I]V2.T))
@@ -95,8 +95,8 @@ qed-.
 (* Basic_2A1: uses: fquq_cpxs_trans_neq *)
 lemma fquq_cpxs_trans_tneqx (b):
       ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ⬂⸮[b] ❪G2,L2,T2❫ →
-      â\88\80U2. â\9dªG2,L2â\9d« â\8a¢ T2 â¬\88* U2 â\86\92 (T2 â\89\9b U2 → ⊥) →
-      â\88\83â\88\83U1. â\9dªG1,L1â\9d« â\8a¢ T1 â¬\88* U1 & T1 â\89\9b U1 → ⊥ & ❪G1,L1,U1❫ ⬂⸮[b] ❪G2,L2,U2❫.
+      â\88\80U2. â\9dªG2,L2â\9d« â\8a¢ T2 â¬\88* U2 â\86\92 (T2 â\89\85 U2 → ⊥) →
+      â\88\83â\88\83U1. â\9dªG1,L1â\9d« â\8a¢ T1 â¬\88* U1 & T1 â\89\85 U1 → ⊥ & ❪G1,L1,U1❫ ⬂⸮[b] ❪G2,L2,U2❫.
 #b #G1 #G2 #L1 #L2 #T1 #T2 #H12 elim H12 -H12
 [ #H12 #U2 #HTU2 #H elim (fqu_cpxs_trans_tneqx … H12 … HTU2 H) -T2
   /3 width=4 by fqu_fquq, ex3_intro/
@@ -107,8 +107,8 @@ qed-.
 (* Basic_2A1: uses: fqup_cpxs_trans_neq *)
 lemma fqup_cpxs_trans_tneqx (b):
       ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ⬂+[b] ❪G2,L2,T2❫ →
-      â\88\80U2. â\9dªG2,L2â\9d« â\8a¢ T2 â¬\88* U2 â\86\92 (T2 â\89\9b U2 → ⊥) →
-      â\88\83â\88\83U1. â\9dªG1,L1â\9d« â\8a¢ T1 â¬\88* U1 & T1 â\89\9b U1 → ⊥ & ❪G1,L1,U1❫ ⬂+[b] ❪G2,L2,U2❫.
+      â\88\80U2. â\9dªG2,L2â\9d« â\8a¢ T2 â¬\88* U2 â\86\92 (T2 â\89\85 U2 → ⊥) →
+      â\88\83â\88\83U1. â\9dªG1,L1â\9d« â\8a¢ T1 â¬\88* U1 & T1 â\89\85 U1 → ⊥ & ❪G1,L1,U1❫ ⬂+[b] ❪G2,L2,U2❫.
 #b #G1 #G2 #L1 #L2 #T1 #T2 #H @(fqup_ind_dx … H) -G1 -L1 -T1
 [ #G1 #L1 #T1 #H12 #U2 #HTU2 #H elim (fqu_cpxs_trans_tneqx … H12 … HTU2 H) -T2
   /3 width=4 by fqu_fqup, ex3_intro/
@@ -121,8 +121,8 @@ qed-.
 (* Basic_2A1: uses: fqus_cpxs_trans_neq *)
 lemma fqus_cpxs_trans_tneqx (b):
       ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ⬂*[b] ❪G2,L2,T2❫ →
-      â\88\80U2. â\9dªG2,L2â\9d« â\8a¢ T2 â¬\88* U2 â\86\92 (T2 â\89\9b U2 → ⊥) →
-      â\88\83â\88\83U1. â\9dªG1,L1â\9d« â\8a¢ T1 â¬\88* U1 & T1 â\89\9b U1 → ⊥ & ❪G1,L1,U1❫ ⬂*[b] ❪G2,L2,U2❫.
+      â\88\80U2. â\9dªG2,L2â\9d« â\8a¢ T2 â¬\88* U2 â\86\92 (T2 â\89\85 U2 → ⊥) →
+      â\88\83â\88\83U1. â\9dªG1,L1â\9d« â\8a¢ T1 â¬\88* U1 & T1 â\89\85 U1 → ⊥ & ❪G1,L1,U1❫ ⬂*[b] ❪G2,L2,U2❫.
 #b #G1 #G2 #L1 #L2 #T1 #T2 #H12 #U2 #HTU2 #H elim (fqus_inv_fqup … H12) -H12
 [ #H12 elim (fqup_cpxs_trans_tneqx … H12 … HTU2 H) -T2
   /3 width=4 by fqup_fqus, ex3_intro/