milestone in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / cpx_fqus.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_fqus.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_fqus.ma
index 147114a113181412e76e273831d305c951c0373f..0afb76e7f290e09f1162e3f59e030c15f5e6b74f 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_fqus.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_fqus.ma
@@ -12,10 +12,10 @@
 (*                                                                        *)
 (**************************************************************************)
 
-(* UNCOUNTED CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS *************)
+(* UNBOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS ***************)
 
-include "basic_2/relocation/lifts_tdeq.ma".
-include "basic_2/s_computation/fqus_fqup.ma".
+include "static_2/relocation/lifts_tdeq.ma".
+include "static_2/s_computation/fqus_fqup.ma".
 include "basic_2/rt_transition/cpx_drops.ma".
 include "basic_2/rt_transition/cpx_lsubr.ma".
 
@@ -66,10 +66,10 @@ lemma fqus_cpx_trans: ∀h,b,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐*[b] ⦃G2,
 ]
 qed-.
 
-lemma fqu_cpx_trans_ntdeq: ∀h,o,b,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐[b] ⦃G2, L2, T2⦄ →
-                           â\88\80U2. â¦\83G2, L2â¦\84 â\8a¢ T2 â¬\88[h] U2 â\86\92 (T2 â\89¡[h, o] U2 → ⊥) →
-                           â\88\83â\88\83U1. â¦\83G1, L1â¦\84 â\8a¢ T1 â¬\88[h] U1 & T1 â\89¡[h, o] U1 → ⊥ & ⦃G1, L1, U1⦄ ⊐[b] ⦃G2, L2, U2⦄.
-#h #o #b #G1 #G2 #L1 #L2 #T1 #T2 #H elim H -G1 -G2 -L1 -L2 -T1 -T2
+lemma fqu_cpx_trans_tdneq: ∀h,b,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐[b] ⦃G2, L2, T2⦄ →
+                           â\88\80U2. â¦\83G2, L2â¦\84 â\8a¢ T2 â¬\88[h] U2 â\86\92 (T2 â\89\9b U2 → ⊥) →
+                           â\88\83â\88\83U1. â¦\83G1, L1â¦\84 â\8a¢ T1 â¬\88[h] U1 & T1 â\89\9b U1 → ⊥ & ⦃G1, L1, U1⦄ ⊐[b] ⦃G2, L2, U2⦄.
+#h #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 cpx_delta, fqu_drop/
@@ -98,33 +98,33 @@ lemma fqu_cpx_trans_ntdeq: ∀h,o,b,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐[b] 
 ]
 qed-.
 
-lemma fquq_cpx_trans_ntdeq: ∀h,o,b,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐⸮[b] ⦃G2, L2, T2⦄ →
-                            â\88\80U2. â¦\83G2, L2â¦\84 â\8a¢ T2 â¬\88[h] U2 â\86\92 (T2 â\89¡[h, o] U2 → ⊥) →
-                            â\88\83â\88\83U1. â¦\83G1, L1â¦\84 â\8a¢ T1 â¬\88[h] U1 & T1 â\89¡[h, o] U1 → ⊥ & ⦃G1, L1, U1⦄ ⊐⸮[b] ⦃G2, L2, U2⦄.
-#h #o #b #G1 #G2 #L1 #L2 #T1 #T2 #H12 elim H12 -H12 
-[ #H12 #U2 #HTU2 #H elim (fqu_cpx_trans_ntdeq … H12 … HTU2 H) -T2
+lemma fquq_cpx_trans_tdneq: ∀h,b,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐⸮[b] ⦃G2, L2, T2⦄ →
+                            â\88\80U2. â¦\83G2, L2â¦\84 â\8a¢ T2 â¬\88[h] U2 â\86\92 (T2 â\89\9b U2 → ⊥) →
+                            â\88\83â\88\83U1. â¦\83G1, L1â¦\84 â\8a¢ T1 â¬\88[h] U1 & T1 â\89\9b U1 → ⊥ & ⦃G1, L1, U1⦄ ⊐⸮[b] ⦃G2, L2, U2⦄.
+#h #b #G1 #G2 #L1 #L2 #T1 #T2 #H12 elim H12 -H12 
+[ #H12 #U2 #HTU2 #H elim (fqu_cpx_trans_tdneq … H12 … HTU2 H) -T2
   /3 width=4 by fqu_fquq, ex3_intro/
 | * #HG #HL #HT destruct /3 width=4 by ex3_intro/
 ]
 qed-.
 
-lemma fqup_cpx_trans_ntdeq: ∀h,o,b,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐+[b] ⦃G2, L2, T2⦄ →
-                            â\88\80U2. â¦\83G2, L2â¦\84 â\8a¢ T2 â¬\88[h] U2 â\86\92 (T2 â\89¡[h, o] U2 → ⊥) →
-                            â\88\83â\88\83U1. â¦\83G1, L1â¦\84 â\8a¢ T1 â¬\88[h] U1 & T1 â\89¡[h, o] U1 → ⊥ & ⦃G1, L1, U1⦄ ⊐+[b] ⦃G2, L2, U2⦄.
-#h #o #b #G1 #G2 #L1 #L2 #T1 #T2 #H @(fqup_ind_dx … H) -G1 -L1 -T1
-[ #G1 #L1 #T1 #H12 #U2 #HTU2 #H elim (fqu_cpx_trans_ntdeq … H12 … HTU2 H) -T2
+lemma fqup_cpx_trans_tdneq: ∀h,b,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐+[b] ⦃G2, L2, T2⦄ →
+                            â\88\80U2. â¦\83G2, L2â¦\84 â\8a¢ T2 â¬\88[h] U2 â\86\92 (T2 â\89\9b U2 → ⊥) →
+                            â\88\83â\88\83U1. â¦\83G1, L1â¦\84 â\8a¢ T1 â¬\88[h] U1 & T1 â\89\9b U1 → ⊥ & ⦃G1, L1, U1⦄ ⊐+[b] ⦃G2, L2, U2⦄.
+#h #b #G1 #G2 #L1 #L2 #T1 #T2 #H @(fqup_ind_dx … H) -G1 -L1 -T1
+[ #G1 #L1 #T1 #H12 #U2 #HTU2 #H elim (fqu_cpx_trans_tdneq … H12 … HTU2 H) -T2
   /3 width=4 by fqu_fqup, ex3_intro/
 | #G #G1 #L #L1 #T #T1 #H1 #_ #IH12 #U2 #HTU2 #H elim (IH12 … HTU2 H) -T2
-  #U1 #HTU1 #H #H12 elim (fqu_cpx_trans_ntdeq … H1 … HTU1 H) -T1
+  #U1 #HTU1 #H #H12 elim (fqu_cpx_trans_tdneq … H1 … HTU1 H) -T1
   /3 width=8 by fqup_strap2, ex3_intro/
 ]
 qed-.
 
-lemma fqus_cpx_trans_ntdeq: ∀h,o,b,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐*[b] ⦃G2, L2, T2⦄ →
-                            â\88\80U2. â¦\83G2, L2â¦\84 â\8a¢ T2 â¬\88[h] U2 â\86\92 (T2 â\89¡[h, o] U2 → ⊥) →
-                            â\88\83â\88\83U1. â¦\83G1, L1â¦\84 â\8a¢ T1 â¬\88[h] U1 & T1 â\89¡[h, o] U1 → ⊥ & ⦃G1, L1, U1⦄ ⊐*[b] ⦃G2, L2, U2⦄.
-#h #o #b #G1 #G2 #L1 #L2 #T1 #T2 #H12 #U2 #HTU2 #H elim (fqus_inv_fqup … H12) -H12
-[ #H12 elim (fqup_cpx_trans_ntdeq … H12 … HTU2 H) -T2
+lemma fqus_cpx_trans_tdneq: ∀h,b,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐*[b] ⦃G2, L2, T2⦄ →
+                            â\88\80U2. â¦\83G2, L2â¦\84 â\8a¢ T2 â¬\88[h] U2 â\86\92 (T2 â\89\9b U2 → ⊥) →
+                            â\88\83â\88\83U1. â¦\83G1, L1â¦\84 â\8a¢ T1 â¬\88[h] U1 & T1 â\89\9b U1 → ⊥ & ⦃G1, L1, U1⦄ ⊐*[b] ⦃G2, L2, U2⦄.
+#h #b #G1 #G2 #L1 #L2 #T1 #T2 #H12 #U2 #HTU2 #H elim (fqus_inv_fqup … H12) -H12
+[ #H12 elim (fqup_cpx_trans_tdneq … H12 … HTU2 H) -T2
   /3 width=4 by fqup_fqus, ex3_intro/
 | * #HG #HL #HT destruct /3 width=4 by ex3_intro/
 ]