]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/relocation/drops_lreq.ma
renaming
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / relocation / drops_lreq.ma
index bc32717b6fd7b453dea41e9d91637548bcaa2bd4..d07ea22109df3a83609ae5542309a35fc67aa164 100644 (file)
@@ -29,10 +29,10 @@ lemma lreq_co_dropable_dx: co_dropable_dx lreq.
 @lexs_co_dropable_dx qed-.
 
 (* Basic_2A1: includes: lreq_drop_trans_be *)
-lemma lreq_drops_trans_next: â\88\80f2,L1,L2. L1 â\89\90[f2] L2 →
-                             â\88\80b,f,I,K2. â¬\87*[b, f] L2 â\89¡ K2.ⓘ{I} → 𝐔⦃f⦄ →
-                             â\88\80f1. f ~â\8a\9a â«¯f1 â\89¡ f2 →
-                             â\88\83â\88\83K1. â¬\87*[b, f] L1 â\89¡ K1.â\93\98{I} & K1 â\89\90[f1] K2.
+lemma lreq_drops_trans_next: â\88\80f2,L1,L2. L1 â\89¡[f2] L2 →
+                             â\88\80b,f,I,K2. â¬\87*[b, f] L2 â\89\98 K2.ⓘ{I} → 𝐔⦃f⦄ →
+                             â\88\80f1. f ~â\8a\9a â\86\91f1 â\89\98 f2 →
+                             â\88\83â\88\83K1. â¬\87*[b, f] L1 â\89\98 K1.â\93\98{I} & K1 â\89¡[f1] K2.
 #f2 #L1 #L2 #HL12 #b #f #I2 #K2 #HLK2 #Hf #f1 #Hf2
 elim (lexs_drops_trans_next … HL12 … HLK2 Hf … Hf2) -f2 -L2 -Hf
 #I1 #K1 #HLK1 #HK12 #H <(ceq_ext_inv_eq … H) -I2
@@ -40,19 +40,19 @@ elim (lexs_drops_trans_next … HL12 … HLK2 Hf … Hf2) -f2 -L2 -Hf
 qed-.
 
 (* Basic_2A1: includes: lreq_drop_conf_be *)
-lemma lreq_drops_conf_next: â\88\80f2,L1,L2. L1 â\89\90[f2] L2 →
-                            â\88\80b,f,I,K1. â¬\87*[b, f] L1 â\89¡ K1.ⓘ{I} → 𝐔⦃f⦄ →
-                            â\88\80f1. f ~â\8a\9a â«¯f1 â\89¡ f2 →
-                            â\88\83â\88\83K2. â¬\87*[b, f] L2 â\89¡ K2.â\93\98{I} & K1 â\89\90[f1] K2.
+lemma lreq_drops_conf_next: â\88\80f2,L1,L2. L1 â\89¡[f2] L2 →
+                            â\88\80b,f,I,K1. â¬\87*[b, f] L1 â\89\98 K1.ⓘ{I} → 𝐔⦃f⦄ →
+                            â\88\80f1. f ~â\8a\9a â\86\91f1 â\89\98 f2 →
+                            â\88\83â\88\83K2. â¬\87*[b, f] L2 â\89\98 K2.â\93\98{I} & K1 â\89¡[f1] K2.
 #f2 #L1 #L2 #HL12 #b #f #I1 #K1 #HLK1 #Hf #f1 #Hf2
 elim (lreq_drops_trans_next … (lreq_sym … HL12) … HLK1 … Hf2) // -f2 -L1 -Hf
 /3 width=3 by lreq_sym, ex2_intro/
 qed-.
 
-lemma drops_lreq_trans_next: â\88\80f1,K1,K2. K1 â\89\90[f1] K2 →
-                             â\88\80b,f,I,L1. â¬\87*[b, f] L1.â\93\98{I} â\89¡ K1 →
-                             â\88\80f2. f ~â\8a\9a f1 â\89¡ â«¯f2 →
-                             â\88\83â\88\83L2. â¬\87*[b, f] L2.â\93\98{I} â\89¡ K2 & L1 â\89\90[f2] L2 & L1.â\93\98{I} â\89\90[f] L2.ⓘ{I}.
+lemma drops_lreq_trans_next: â\88\80f1,K1,K2. K1 â\89¡[f1] K2 →
+                             â\88\80b,f,I,L1. â¬\87*[b, f] L1.â\93\98{I} â\89\98 K1 →
+                             â\88\80f2. f ~â\8a\9a f1 â\89\98 â\86\91f2 →
+                             â\88\83â\88\83L2. â¬\87*[b, f] L2.â\93\98{I} â\89\98 K2 & L1 â\89¡[f2] L2 & L1.â\93\98{I} â\89¡[f] L2.ⓘ{I}.
 #f1 #K1 #K2 #HK12 #b #f #I1 #L1 #HLK1 #f2 #Hf2
 elim (drops_lexs_trans_next … HK12 … HLK1 … Hf2) -f1 -K1
 /2 width=6 by cfull_lift_sn, ceq_lift_sn/