partial commit: "computation" component ...

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / computation / lsubc_ldrop.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/lsubc_ldrop.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/lsubc_ldrop.ma
index 60b58598b8f57513f17543005d7932d05dd71871..2c352dc897065b59af89473183c304d18f5c001e 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/lsubc_ldrop.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/lsubc_ldrop.ma
@@ -21,9 +21,9 @@ include "basic_2/computation/lsubc.ma".
 
 (* Basic_1: was: csubc_drop_conf_O *)
 (* Note: the constant 0 can not be generalized *)
-lemma lsubc_ldrop_O1_trans: ∀RP,L1,L2. L1 ⊑[RP] L2 → ∀K2,e. ⇩[0, e] L2 ≡ K2 →
-                            ∃∃K1. ⇩[0, e] L1 ≡ K1 & K1 ⊑[RP] K2.
-#RP #L1 #L2 #H elim H -L1 -L2
+lemma lsubc_ldrop_O1_trans: ∀RP,G,L1,L2. G ⊢ L1 ⊑[RP] L2 → ∀K2,e. ⇩[0, e] L2 ≡ K2 →
+                            ∃∃K1. ⇩[0, e] L1 ≡ K1 & G ⊢ K1 ⊑[RP] K2.
+#RP #G #L1 #L2 #H elim H -L1 -L2
 [ #X #e #H elim (ldrop_inv_atom1 … H) -H /2 width=3/
 | #I #L1 #L2 #V #_ #IHL12 #X #e #H
   elim (ldrop_inv_O1_pair1 … H) -H * #He #H destruct
@@ -39,10 +39,10 @@ qed-.
 
 (* Basic_1: was: csubc_drop_conf_rev *)
 lemma ldrop_lsubc_trans: ∀RR,RS,RP.
-                         acp RR RS RP → acr RR RS RP (λL,T. RP L T) →
-                         ∀L1,K1,d,e. ⇩[d, e] L1 ≡ K1 → ∀K2. K1 ⊑[RP] K2 →
-                         ∃∃L2. L1 ⊑[RP] L2 & ⇩[d, e] L2 ≡ K2.
-#RR #RS #RP #Hacp #Hacr #L1 #K1 #d #e #H elim H -L1 -K1 -d -e
+                         acp RR RS RP → acr RR RS RP (λG,L,T. RP G L T) →
+                         ∀G,L1,K1,d,e. ⇩[d, e] L1 ≡ K1 → ∀K2. G ⊢ K1 ⊑[RP] K2 →
+                         ∃∃L2. G ⊢ L1 ⊑[RP] L2 & ⇩[d, e] L2 ≡ K2.
+#RR #RS #RP #Hacp #Hacr #G #L1 #K1 #d #e #H elim H -L1 -K1 -d -e
 [ #d #X #H elim (lsubc_inv_atom1 … H) -H /2 width=3/
 | #L1 #I #V1 #X #H
   elim (lsubc_inv_pair1 … H) -H *