notational change of lift, drop, and gget

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / reduction / crr_lift.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/reduction/crr_lift.ma b/matita/matita/contribs/lambdadelta/basic_2/reduction/crr_lift.ma
index 41f626cee2d26c9bd3c506fc97407c6f6e2dd9e2..ee142ffe3c152d398ad527efa23eaea947e748e9 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/reduction/crr_lift.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/reduction/crr_lift.ma
@@ -12,20 +12,20 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/relocation/ldrop_ldrop.ma".
+include "basic_2/substitution/drop_drop.ma".
 include "basic_2/reduction/crr.ma".
 
-(* CONTEXT-SENSITIVE REDUCIBLE TERMS ****************************************)
+(* REDUCIBLE TERMS FOR CONTEXT-SENSITIVE REDUCTION **************************)
 
 (* Properties on relocation *************************************************)
 
-lemma crr_lift: â\88\80G,K,T. â¦\83G, Kâ¦\84 â\8a¢ â\9e¡ ð\9d\90\91â¦\83Tâ¦\84 â\86\92 â\88\80L,s,d,e. â\87©[s, d, e] L ≡ K →
-                â\88\80U. â\87§[d, e] T ≡ U → ⦃G, L⦄ ⊢ ➡ 𝐑⦃U⦄.
+lemma crr_lift: â\88\80G,K,T. â¦\83G, Kâ¦\84 â\8a¢ â\9e¡ ð\9d\90\91â¦\83Tâ¦\84 â\86\92 â\88\80L,s,d,e. â¬\87[s, d, e] L ≡ K →
+                â\88\80U. â¬\86[d, e] T ≡ U → ⦃G, L⦄ ⊢ ➡ 𝐑⦃U⦄.
 #G #K #T #H elim H -K -T
 [ #K #K0 #V #i #HK0 #L #s #d #e #HLK #X #H
   elim (lift_inv_lref1 … H) -H * #Hid #H destruct
-  [ elim (ldrop_trans_lt … HLK … HK0) -K /2 width=4 by crr_delta/
-  | lapply (ldrop_trans_ge … HLK … HK0 ?) -K /3 width=4 by crr_delta, ldrop_inv_gen/
+  [ elim (drop_trans_lt … HLK … HK0) -K /2 width=4 by crr_delta/
+  | lapply (drop_trans_ge … HLK … HK0 ?) -K /3 width=4 by crr_delta, drop_inv_gen/
   ]
 | #K #V #T #_ #IHV #L #s #d #e #HLK #X #H
   elim (lift_inv_flat1 … H) -H #W #U #HVW #_ #H destruct /3 width=5 by crr_appl_sn/
@@ -36,7 +36,7 @@ lemma crr_lift: ∀G,K,T. ⦃G, K⦄ ⊢ ➡ 𝐑⦃T⦄ → ∀L,s,d,e. ⇩[s,
 | #a #I #K #V #T #HI #_ #IHV #L #s #d #e #HLK #X #H
   elim (lift_inv_bind1 … H) -H #W #U #HVW #_ #H destruct /3 width=5 by crr_ib2_sn/
 | #a #I #K #V #T #HI #_ #IHT #L #s #d #e #HLK #X #H
-  elim (lift_inv_bind1 … H) -H #W #U #HVW #HTU #H destruct /4 width=5 by crr_ib2_dx, ldrop_skip/
+  elim (lift_inv_bind1 … H) -H #W #U #HVW #HTU #H destruct /4 width=5 by crr_ib2_dx, drop_skip/
 | #a #K #V #V0 #T #L #s #d #e #_ #X #H
   elim (lift_inv_flat1 … H) -H #W #X0 #_ #H0 #H destruct
   elim (lift_inv_bind1 … H0) -H0 #W0 #U #_ #_ #H0 destruct /2 width=1 by crr_beta/
@@ -46,13 +46,13 @@ lemma crr_lift: ∀G,K,T. ⦃G, K⦄ ⊢ ➡ 𝐑⦃T⦄ → ∀L,s,d,e. ⇩[s,
 ]
 qed.
 
-lemma crr_inv_lift: â\88\80G,L,U. â¦\83G, Lâ¦\84 â\8a¢ â\9e¡ ð\9d\90\91â¦\83Uâ¦\84 â\86\92 â\88\80K,s,d,e. â\87©[s, d, e] L ≡ K →
-                    â\88\80T. â\87§[d, e] T ≡ U → ⦃G, K⦄ ⊢ ➡ 𝐑⦃T⦄.
+lemma crr_inv_lift: â\88\80G,L,U. â¦\83G, Lâ¦\84 â\8a¢ â\9e¡ ð\9d\90\91â¦\83Uâ¦\84 â\86\92 â\88\80K,s,d,e. â¬\87[s, d, e] L ≡ K →
+                    â\88\80T. â¬\86[d, e] T ≡ U → ⦃G, K⦄ ⊢ ➡ 𝐑⦃T⦄.
 #G #L #U #H elim H -L -U
 [ #L #L0 #W #i #HK0 #K #s #d #e #HLK #X #H
   elim (lift_inv_lref2 … H) -H * #Hid #H destruct
-  [ elim (ldrop_conf_lt … HLK … HK0) -L /2 width=4 by crr_delta/
-  | lapply (ldrop_conf_ge … HLK … HK0 ?) -L /2 width=4 by crr_delta/
+  [ elim (drop_conf_lt … HLK … HK0) -L /2 width=4 by crr_delta/
+  | lapply (drop_conf_ge … HLK … HK0 ?) -L /2 width=4 by crr_delta/
   ]
 | #L #W #U #_ #IHW #K #s #d #e #HLK #X #H
   elim (lift_inv_flat2 … H) -H #V #T #HVW #_ #H destruct /3 width=5 by crr_appl_sn/
@@ -63,7 +63,7 @@ lemma crr_inv_lift: ∀G,L,U. ⦃G, L⦄ ⊢ ➡ 𝐑⦃U⦄ → ∀K,s,d,e. ⇩
 | #a #I #L #W #U #HI #_ #IHW #K #s #d #e #HLK #X #H
   elim (lift_inv_bind2 … H) -H #V #T #HVW #_ #H destruct /3 width=5 by crr_ib2_sn/
 | #a #I #L #W #U #HI #_ #IHU #K #s #d #e #HLK #X #H
-  elim (lift_inv_bind2 … H) -H #V #T #HVW #HTU #H destruct /4 width=5 by crr_ib2_dx, ldrop_skip/
+  elim (lift_inv_bind2 … H) -H #V #T #HVW #HTU #H destruct /4 width=5 by crr_ib2_dx, drop_skip/
 | #a #L #W #W0 #U #K #s #d #e #_ #X #H
   elim (lift_inv_flat2 … H) -H #V #X0 #_ #H0 #H destruct
   elim (lift_inv_bind2 … H0) -H0 #V0 #T #_ #_ #H0 destruct /2 width=1 by crr_beta/