]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambda_delta/basic_2/equivalence/cpcs_delift.ma
- intermediate commit to allow debugging of auto tactic in xprs.ma
[helm.git] / matita / matita / contribs / lambda_delta / basic_2 / equivalence / cpcs_delift.ma
index c568941a5fe8306f054bbdbdca1d761cf24e53b0..e6638ea3f79f2f1f84d0cee193b3a2a1a9cd1d8d 100644 (file)
@@ -67,14 +67,14 @@ qed-.
 
 (* Properties on inverse basic term relocation ******************************)
 
-lemma cpcs_zeta_delift_comm: ∀L,V,T1,T2. L.ⓓV ⊢ T1 ▼*[O, 1] ≡ T2 →
+lemma cpcs_zeta_delift_comm: ∀L,V,T1,T2. L.ⓓV ⊢ ▼*[O, 1] T1 ≡ T2 →
                              L ⊢ T2 ⬌* ⓓV.T1.
 /3 width=1/ qed.
 
 (* Basic_1: was only: pc3_gen_cabbr *)
 lemma thin_cpcs_delift_mono: ∀L,U1,U2. L ⊢ U1 ⬌* U2 →
-                             ∀K,d,e. L ▼*[d, e] ≡ K → ∀T1. L ⊢ U1 ▼*[d, e] ≡ T1 →
-                             ∀T2. L ⊢ U2 ▼*[d, e] ≡ T2 → K ⊢ T1 ⬌* T2.
+                             ∀K,d,e. ▼*[d, e] L ≡ K → ∀T1. L ⊢ ▼*[d, e] U1 ≡ T1 →
+                             ∀T2. L ⊢ ▼*[d, e] U2 ≡ T2 → K ⊢ T1 ⬌* T2.
 #L #U1 #U2 #H #K #d #e #HLK #T1 #HTU1 #T2 #HTU2
 elim (cpcs_inv_cprs … H) -H #U #HU1 #HU2
 elim (thin_cprs_delift_conf … HU1 … HLK … HTU1) -U1 #T #HT1 #HUT