X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2A%2Freduction%2Fcnr_lift.ma;h=2d870f1ff35dd3efa86cbad2d63c4d6f6cf74ee1;hb=2f6f2b7c01d47d23f61dd48d767bcb37aecdcfea;hp=4ff641f4f1f2062b67e47952f21d9ec0b5f82125;hpb=d2545ffd201b1aa49887313791386add78fa8603;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2A/reduction/cnr_lift.ma b/matita/matita/contribs/lambdadelta/basic_2A/reduction/cnr_lift.ma
index 4ff641f4f..2d870f1ff 100644
--- a/matita/matita/contribs/lambdadelta/basic_2A/reduction/cnr_lift.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2A/reduction/cnr_lift.ma
@@ -19,7 +19,6 @@ include "basic_2A/reduction/cnr.ma".
 
 (* Advanced properties ******************************************************)
 
-(* Basic_1: was: nf2_lref_abst *)
 lemma cnr_lref_abst: ∀G,L,K,V,i. ⬇[i] L ≡ K. ⓛV → ⦃G, L⦄ ⊢ ➡ 𝐍⦃#i⦄.
 #G #L #K #V #i #HLK #X #H
 elim (cpr_inv_lref1 … H) -H // *
@@ -29,21 +28,19 @@ qed.
 
 (* Relocation properties ****************************************************)
 
-(* Basic_1: was: nf2_lift *)
 lemma cnr_lift: ∀G,L0,L,T,T0,s,l,m. ⦃G, L⦄ ⊢ ➡ 𝐍⦃T⦄ →
                 ⬇[s, l, m] L0 ≡ L → ⬆[l, m] T ≡ T0 → ⦃G, L0⦄ ⊢ ➡ 𝐍⦃T0⦄.
 #G #L0 #L #T #T0 #s #l #m #HLT #HL0 #HT0 #X #H
 elim (cpr_inv_lift1 … H … HL0 … HT0) -L0 #T1 #HT10 #HT1
-<(HLT … HT1) in HT0; -L #HT0
+>(HLT … HT1) in HT0; -L #HT0
 >(lift_mono … HT10 … HT0) -T1 -X //
 qed.
 
-(* Note: this was missing in basic_1 *)
 lemma cnr_inv_lift: ∀G,L0,L,T,T0,s,l,m. ⦃G, L0⦄ ⊢ ➡ 𝐍⦃T0⦄ →
                     ⬇[s, l, m] L0 ≡ L → ⬆[l, m] T ≡ T0 → ⦃G, L⦄ ⊢ ➡ 𝐍⦃T⦄.
 #G #L0 #L #T #T0 #s #l #m #HLT0 #HL0 #HT0 #X #H
 elim (lift_total X l m) #X0 #HX0
 lapply (cpr_lift … H … HL0 … HT0 … HX0) -L #HTX0
->(HLT0 … HTX0) in HX0; -L0 -X0 #H
+<(HLT0 … HTX0) in HX0; -L0 -X0 #H
 >(lift_inj … H … HT0) -T0 -X -s -l -m //
 qed-.