X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambda_delta%2FBasic_2%2Freducibility%2Fcpr_ltpr.ma;h=ae26fa75daf98f67de27d48ca25504b66700c24f;hb=13a37618a5cebc5e0088a7da213f1de033d281db;hp=486c12ee04d20e7b2bb5e364d71e3255627ba8ab;hpb=f75be90562ddd964ef7ed43b956eb908f3133e3a;p=helm.git

diff --git a/matita/matita/contribs/lambda_delta/Basic_2/reducibility/cpr_ltpr.ma b/matita/matita/contribs/lambda_delta/Basic_2/reducibility/cpr_ltpr.ma
index 486c12ee0..ae26fa75d 100644
--- a/matita/matita/contribs/lambda_delta/Basic_2/reducibility/cpr_ltpr.ma
+++ b/matita/matita/contribs/lambda_delta/Basic_2/reducibility/cpr_ltpr.ma
@@ -21,26 +21,26 @@ include "Basic_2/reducibility/cpr.ma".
 
 (* Note: we could invoke tpss_weak_all instead of ltpr_fwd_length *)
 (* Basic_1: was only: pr2_subst1 *)
-lemma cpr_tpss_ltpr: ∀L1,L2. L1 ⇒ L2 → ∀T1,T2. L2 ⊢ T1 ⇒ T2 →
-                     ∀d,e,U1. L1 ⊢ T1 [d, e] ≫* U1 →
-                     ∃∃U2. L2 ⊢ U1 ⇒ U2 & L2 ⊢ T2 [d, e] ≫* U2.
+lemma cpr_tpss_ltpr: ∀L1,L2. L1 ➡ L2 → ∀T1,T2. L2 ⊢ T1 ➡ T2 →
+                     ∀d,e,U1. L1 ⊢ T1 [d, e] ▶* U1 →
+                     ∃∃U2. L2 ⊢ U1 ➡ U2 & L2 ⊢ T2 [d, e] ▶* U2.
 #L1 #L2 #HL12 #T1 #T2 * #T #HT1 #HT2 #d #e #U1 #HTU1
-elim (tpr_tpss_ltpr … HL12 … HT1 … HTU1) -L1 HT1 #U #HU1 #HTU
-elim (tpss_conf_eq … HT2 … HTU) -T /3/
+elim (tpr_tpss_ltpr … HL12 … HT1 … HTU1) -L1 -HT1 #U #HU1 #HTU
+elim (tpss_conf_eq … HT2 … HTU) -T /3 width=3/
 qed.
 
-lemma cpr_ltpr_conf_eq: ∀L1,T1,T2. L1 ⊢ T1 ⇒ T2 → ∀L2. L1 ⇒ L2 →
-                        ∃∃T. L2 ⊢ T1 ⇒ T & T2 ⇒ T.
+lemma cpr_ltpr_conf_eq: ∀L1,T1,T2. L1 ⊢ T1 ➡ T2 → ∀L2. L1 ➡ L2 →
+                        ∃∃T. L2 ⊢ T1 ➡ T & T2 ➡ T.
 #L1 #T1 #T2 * #T #HT1 #HT2 #L2 #HL12
->(ltpr_fwd_length … HL12) in HT2 #HT2
-elim (tpr_tpss_ltpr … HL12 … HT2) -L1 HT2 /3/
+>(ltpr_fwd_length … HL12) in HT2; #HT2
+elim (tpr_tpss_ltpr … HL12 … HT2) -L1 /3 width=3/
 qed.
 
-lemma cpr_ltpr_conf_tpss: ∀L1,L2. L1 ⇒ L2 → ∀T1,T2. L1 ⊢ T1 ⇒ T2 →
-                          ∀d,e,U1. L1 ⊢ T1 [d, e] ≫* U1 →
-                          ∃∃U2. L2 ⊢ U1 ⇒ U2 & L2 ⊢ T2 ⇒ U2.
+lemma cpr_ltpr_conf_tpss: ∀L1,L2. L1 ➡ L2 → ∀T1,T2. L1 ⊢ T1 ➡ T2 →
+                          ∀d,e,U1. L1 ⊢ T1 [d, e] ▶* U1 →
+                          ∃∃U2. L2 ⊢ U1 ➡ U2 & L2 ⊢ T2 ➡ U2.
 #L1 #L2 #HL12 #T1 #T2 #HT12 #d #e #U1 #HTU1
 elim (cpr_ltpr_conf_eq … HT12 … HL12) -HT12 #T #HT1 #HT2
-elim (cpr_tpss_ltpr … HL12 … HT1 … HTU1) -L1 HT1 #U2 #HU12 #HTU2
+elim (cpr_tpss_ltpr … HL12 … HT1 … HTU1) -L1 -HT1 #U2 #HU12 #HTU2
 lapply (tpss_weak_all … HTU2) -HTU2 #HTU2 /3 width=5/ (**) (* /4 width=5/ is too slow *)
 qed.