X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fequivalence%2Fcpcs_aaa.ma;h=4f92238868ff88c14252372fe81c291e01afa39b;hb=e62715437a9c39244c9809c00585a5ef44a39797;hp=363b8acd3db45cd77b05767f464d41f417b58603;hpb=e8998d29ab83e7b6aa495a079193705b2f6743d3;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/equivalence/cpcs_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/equivalence/cpcs_aaa.ma
index 363b8acd3..4f9223886 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/equivalence/cpcs_aaa.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/equivalence/cpcs_aaa.ma
@@ -12,19 +12,19 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/computation/cprs_aaa.ma".
+include "basic_2/computation/cpxs_aaa.ma".
 include "basic_2/equivalence/cpcs_cpcs.ma".
 
 (* CONTEXT-SENSITIVE PARALLEL EQUIVALENCE ON TERMS **************************)
 
-(* Main properties about atomic arity assignment on terms *******************)
+(* Main inversion lemmas about atomic arity assignment on terms *************)
 
-theorem aaa_cpcs_mono: ∀L,T1,T2. L ⊢ T1 ⬌* T2 →
-                       ∀A1. L ⊢ T1 ⁝ A1 → ∀A2. L ⊢ T2 ⁝ A2 →
+theorem cpcs_aaa_mono: ∀G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ⬌* T2 →
+                       ∀A1. ⦃G, L⦄ ⊢ T1 ⁝ A1 → ∀A2. ⦃G, L⦄ ⊢ T2 ⁝ A2 →
                        A1 = A2.
-#L #T1 #T2 #HT12 #A1 #HA1 #A2 #HA2
+#G #L #T1 #T2 #HT12 #A1 #HA1 #A2 #HA2
 elim (cpcs_inv_cprs … HT12) -HT12 #T #HT1 #HT2
-lapply (aaa_cprs_conf … HA1 … HT1) -T1 #HA1
-lapply (aaa_cprs_conf … HA2 … HT2) -T2 #HA2
+lapply (cprs_aaa_conf … HA1 … HT1) -T1 #HA1
+lapply (cprs_aaa_conf … HA2 … HT2) -T2 #HA2
 lapply (aaa_mono … HA1 … HA2) -L -T //
 qed-.