notational change of lift, drop, and gget

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/lsubc_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/lsubc_drops.ma
index 90a7aa04184f6924f316a3028db1732e25a484bc..088cd210d403d49e2c047d69c458146bb27f6844 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/lsubc_drops.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/lsubc_drops.ma
@@ -14,19 +14,18 @@
 
 include "basic_2/computation/lsubc_drop.ma".
 
-(* LOCAL ENVIRONMENT REFINEMENT FOR ABSTRACT CANDIDATES OF REDUCIBILITY *****)
+(* LOCAL ENVIRONMENT REFINEMENT FOR GENERIC REDUCIBILITY ********************)
 
 (* Properties concerning generic local environment slicing ******************)
 
 (* Basic_1: was: csubc_drop1_conf_rev *)
-lemma drops_lsubc_trans: ∀RR,RS,RP.
-                         acp RR RS RP → acr RR RS RP (λG,L,T. RP G L T) →
-                         ∀G,L1,K1,des. ⇩*[Ⓕ, des] L1 ≡ K1 → ∀K2. G ⊢ K1 ⫃[RP] K2 →
-                         ∃∃L2. G ⊢ L1 ⫃[RP] L2 & ⇩*[Ⓕ, des] L2 ≡ K2.
-#RR #RS #RP #Hacp #Hacr #G #L1 #K1 #des #H elim H -L1 -K1 -des
+lemma drops_lsubc_trans: ∀RR,RS,RP. gcp RR RS RP →
+                         ∀G,L1,K1,des. ⬇*[Ⓕ, des] L1 ≡ K1 → ∀K2. G ⊢ K1 ⫃[RP] K2 →
+                         ∃∃L2. G ⊢ L1 ⫃[RP] L2 & ⬇*[Ⓕ, des] L2 ≡ K2.
+#RR #RS #RP #Hgcp #G #L1 #K1 #des #H elim H -L1 -K1 -des
 [ /2 width=3 by drops_nil, ex2_intro/
 | #L1 #L #K1 #des #d #e #_ #HLK1 #IHL #K2 #HK12
-  elim (drop_lsubc_trans … Hacp Hacr … HLK1 … HK12) -Hacp -Hacr -K1 #K #HLK #HK2
+  elim (drop_lsubc_trans … Hgcp … HLK1 … HK12) -Hgcp -K1 #K #HLK #HK2
   elim (IHL … HLK) -IHL -HLK /3 width=5 by drops_cons, ex2_intro/
 ]
 qed-.