]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambda_delta/basic_2/reducibility/cpr_lift.ma
- intermediate commit to allow debugging of auto tactic in xprs.ma
[helm.git] / matita / matita / contribs / lambda_delta / basic_2 / reducibility / cpr_lift.ma
index b3dbcf40c3d99a932058f61a042a22e3b87883d1..4a9e057e03300e771e78c2c3ec31ffab66f485e7 100644 (file)
@@ -151,9 +151,9 @@ elim (lt_or_ge (|K|) d) #HKd
 qed.
 
 (* Basic_1: was: pr2_gen_lift *)
-lemma cpr_inv_lift: ∀L,K,d,e. ⇩[d, e] L ≡ K →
-                    ∀T1,U1. ⇧[d, e] T1 ≡ U1 → ∀U2. L ⊢ U1 ➡ U2 →
-                    ∃∃T2. ⇧[d, e] T2 ≡ U2 & K ⊢ T1 ➡ T2.
+lemma cpr_inv_lift1: ∀L,K,d,e. ⇩[d, e] L ≡ K →
+                     ∀T1,U1. ⇧[d, e] T1 ≡ U1 → ∀U2. L ⊢ U1 ➡ U2 →
+                     ∃∃T2. ⇧[d, e] T2 ≡ U2 & K ⊢ T1 ➡ T2.
 #L #K #d #e #HLK #T1 #U1 #HTU1 #U2 * #U #HU1 #HU2
 elim (tpr_inv_lift1 … HU1 … HTU1) -U1 #T #HTU #T1
 elim (lt_or_ge (|L|) d) #HLd