universary milestone in basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/lsubc_lsuba.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/lsubc_lsuba.ma
index 255de428b7d0a7609e7c05f84fdc2a6e193fedec..3a17f0e5b42c7eb1db6810352e88bc9f7e2dcf18 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/lsubc_lsuba.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/lsubc_lsuba.ma
@@ -13,14 +13,14 @@
 (**************************************************************************)
 
 include "basic_2/static/lsuba.ma".
-include "basic_2/computation/acp_aaa.ma".
+include "basic_2/computation/gcp_aaa.ma".
 
-(* LOCAL ENVIRONMENT REFINEMENT FOR ABSTRACT CANDIDATES OF REDUCIBILITY *****)
+(* LOCAL ENVIRONMENT REFINEMENT FOR GENERIC REDUCIBILITY ********************)
 
 (* properties concerning lenv refinement for atomic arity assignment ********)
 
-lemma lsuba_lsubc: ∀RR,RS,RP. acp RR RS RP → acr RR RS RP (λL,T. RP L T) →
-                   ∀L1,L2. L1 ⁝⊑ L2 → L1 ⊑[RP] L2.
-#RR #RS #RP #H1RP #H2RP #L1 #L2 #H elim H -L1 -L2 // /2 width=1/
-#L1 #L2 #W #V #A #H elim (aaa_inv_cast … H) -H /3 width=4/
+lemma lsuba_lsubc: ∀RR,RS,RP. gcp RR RS RP → gcr RR RS RP RP →
+                   ∀G,L1,L2. G ⊢ L1 ⫃⁝ L2 → G ⊢ L1 ⫃[RP] L2.
+#RR #RS #RP #H1RP #H2RP #G #L1 #L2 #H elim H -L1 -L2 /2 width=1 by lsubc_pair/
+#L1 #L2 #W #V #A #H elim (aaa_inv_cast … H) -H /3 width=4 by acr_aaa, lsubc_beta/
 qed.