- advances towards strong normalization

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / relocation / drops_lstar.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_lstar.ma b/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_lstar.ma
index c377b6028b02b45668073fc29d7266b494a9c555..b3785339f6e3f2f6b2822d23ab2835927d58c424 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_lstar.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_lstar.ma
@@ -14,14 +14,13 @@
 
 include "ground_2/lib/lstar.ma".
 include "basic_2/relocation/lreq_lreq.ma".
-include "basic_2/relocation/drops.ma".
 
 (* GENERIC SLICING FOR LOCAL ENVIRONMENTS ***********************************)
 
 (* Properties with reflexive and transitive closure *************************)
 
 (* Basic_2A1: was: d_liftable_LTC *)
-lemma d2_liftable_LTC: ∀R. d_liftable2 R → d_liftable2 (LTC … R).
+lemma d2_liftable_sn_LTC: ∀R. d_liftable2_sn R → d_liftable2_sn (LTC … R).
 #R #HR #K #T1 #T2 #H elim H -T2
 [ #T2 #HT12 #b #f #L #HLK #U1 #HTU1
   elim (HR … HT12 … HLK … HTU1) /3 width=3 by inj, ex2_intro/
@@ -42,9 +41,9 @@ lemma d2_deliftable_sn_LTC: ∀R. d_deliftable2_sn R → d_deliftable2_sn (LTC 
 ]
 qed-.
 
-lemma dropable_sn_TC: ∀R. dropable_sn R → dropable_sn (LTC … R).
-#R #HR #b #f #L1 #K1 #HLK1 #f2 #L2 #H elim H -L2
-[ #L2 #HL12 #f1 #H elim (HR … HLK1 … HL12 … H) -HR -f2 -L1
+lemma co_dropable_sn_TC: ∀R. co_dropable_sn R → co_dropable_sn (LTC … R).
+#R #HR #b #f #L1 #K1 #HLK1 #Hf #f2 #L2 #H elim H -L2
+[ #L2 #HL12 #f1 #H elim (HR … HLK1 … Hf … HL12 … H) -HR -Hf -f2 -L1
   /3 width=3 by inj, ex2_intro/
 | #L #L2 #_ #HL2 #IH #f1 #H elim (IH … H) -IH
   #K #HK1 #HLK elim (HR … HLK … HL2 … H) -HR -f2 -L
@@ -53,7 +52,7 @@ lemma dropable_sn_TC: ∀R. dropable_sn R → dropable_sn (LTC … R).
 qed-.
 
 (* Basic_2A1: was: d_liftable_llstar *)
-lemma d2_liftable_llstar: ∀R. d_liftable2 R → ∀d. d_liftable2 (llstar … R d).
+lemma d2_liftable_sn_llstar: ∀R. d_liftable2_sn R → ∀d. d_liftable2_sn (llstar … R d).
 #R #HR #d #K #T1 #T2 #H @(lstar_ind_r … d T2 H) -d -T2
 [ #b #f #L #_ #U1 #HTU1 -HR -b -K /2 width=3 by ex2_intro/
 | #l #T #T2 #_ #HT2 #IHT1 #b #f #L #HLK #U1 #HTU1
@@ -73,7 +72,7 @@ lemma d2_deliftable_sn_llstar: ∀R. d_deliftable2_sn R →
 ]
 qed-.
 
-lemma dropable_dx_TC: ∀R. dropable_dx R → dropable_dx (LTC … R).
+lemma co_dropable_dx_TC: ∀R. co_dropable_dx R → co_dropable_dx (LTC … R).
 #R #HR #f2 #L1 #L2 #H elim H -L2
 [ #L2 #HL12 #b #f #K2 #HLK2 #Hf #f1 #Hf2 elim (HR … HL12 … HLK2 … Hf … Hf2) -HR -Hf -f2 -L2
   /3 width=3 by inj, ex2_intro/
@@ -83,7 +82,7 @@ lemma dropable_dx_TC: ∀R. dropable_dx R → dropable_dx (LTC … R).
 ]
 qed-.
 
-lemma dedropable_sn_TC: ∀R. dedropable_sn R → dedropable_sn (LTC … R).
+lemma co_dedropable_sn_TC: ∀R. co_dedropable_sn R → co_dedropable_sn (LTC … R).
 #R #HR #b #f #L1 #K1 #HLK1 #f1 #K2 #H elim H -K2
 [ #K2 #HK12 #f2 #Hf elim (HR … HLK1 … HK12 … Hf) -HR -f1 -K1
   /3 width=4 by inj, ex3_intro/