update in basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpcs_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpcs_aaa.ma
index 4f92238868ff88c14252372fe81c291e01afa39b..a1361c2f0c69c5e157749316ab7693872193c268 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpcs_aaa.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpcs_aaa.ma
@@ -12,19 +12,19 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/computation/cpxs_aaa.ma".
-include "basic_2/equivalence/cpcs_cpcs.ma".
+include "basic_2/rt_computation/cpms_aaa.ma".
+include "basic_2/rt_equivalence/cpcs_cprs.ma".
 
 (* CONTEXT-SENSITIVE PARALLEL EQUIVALENCE ON TERMS **************************)
 
-(* Main inversion lemmas about atomic arity assignment on terms *************)
+(* Main inversion lemmas with atomic arity assignment on terms **************)
 
-theorem cpcs_aaa_mono: ∀G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ⬌* T2 →
-                       ∀A1. ⦃G, L⦄ ⊢ T1 ⁝ A1 → ∀A2. ⦃G, L⦄ ⊢ T2 ⁝ A2 →
-                       A1 = A2.
-#G #L #T1 #T2 #HT12 #A1 #HA1 #A2 #HA2
+theorem cpcs_aaa_mono (h) (G) (L): ∀T1,T2. ⦃G, L⦄ ⊢ T1 ⬌*[h] T2 →
+                                   ∀A1. ⦃G, L⦄ ⊢ T1 ⁝ A1 → ∀A2. ⦃G, L⦄ ⊢ T2 ⁝ A2 →
+                                   A1 = A2.
+#h #G #L #T1 #T2 #HT12 #A1 #HA1 #A2 #HA2
 elim (cpcs_inv_cprs … HT12) -HT12 #T #HT1 #HT2
-lapply (cprs_aaa_conf … HA1 … HT1) -T1 #HA1
-lapply (cprs_aaa_conf … HA2 … HT2) -T2 #HA2
+lapply (cpms_aaa_conf … HA1 … HT1) -T1 #HA1
+lapply (cpms_aaa_conf … HA2 … HT2) -T2 #HA2
 lapply (aaa_mono … HA1 … HA2) -L -T //
 qed-.