]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambda_delta/Basic_2/reducibility/cpr_ltpr.ma
Basic_2: - we addedsome files
[helm.git] / matita / matita / contribs / lambda_delta / Basic_2 / reducibility / cpr_ltpr.ma
index 486c12ee04d20e7b2bb5e364d71e3255627ba8ab..1311e5290226731297019b3235b23cb18d69d906 100644 (file)
@@ -25,15 +25,15 @@ 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.
 #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 →
@@ -41,6 +41,6 @@ lemma cpr_ltpr_conf_tpss: ∀L1,L2. L1 ⇒ L2 → ∀T1,T2. L1 ⊢ T1 ⇒ T2 →
                           ∃∃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.