update in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / equivalence / cpcs_aaa.ma

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 190092f86c3d40a93b9c8ba64a232c7844fd9719..4f92238868ff88c14252372fe81c291e01afa39b 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/equivalence/cpcs_aaa.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/equivalence/cpcs_aaa.ma
@@ -17,14 +17,14 @@ 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-.