]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambda_delta/basic_2/reducibility/lcpr_aaa.ma
- predefined_virtuals: an addition
[helm.git] / matita / matita / contribs / lambda_delta / basic_2 / reducibility / lcpr_aaa.ma
index 61ed86b5bc7719e90df64336429dfa00de0f0f36..c620b4ecaa1094643a9590a045a9b61cfd4310bd 100644 (file)
@@ -21,14 +21,14 @@ include "basic_2/reducibility/lcpr.ma".
 
 (* Properties about atomic arity assignment on terms ************************)
 
-lemma aaa_lcpr_conf: ∀L1,T,A. L1 ⊢ T ÷ A → ∀L2. L1 ⊢ ➡ L2 → L2 ⊢ T ÷ A.
+lemma aaa_lcpr_conf: ∀L1,T,A. L1 ⊢ T ⁝ A → ∀L2. L1 ⊢ ➡ L2 → L2 ⊢ T ⁝ A.
 #L1 #T #A #HT #L2 * /3 width=5/
 qed.
 
-lemma aaa_cpr_conf: ∀L,T1,A. L ⊢ T1 ÷ A → ∀T2. L ⊢ T1 ➡ T2 → L ⊢ T2 ÷ A.
+lemma aaa_cpr_conf: ∀L,T1,A. L ⊢ T1 ⁝ A → ∀T2. L ⊢ T1 ➡ T2 → L ⊢ T2 ⁝ A.
 #L #T1 #A #HT1 #T2 * /3 width=5/
 qed.
 
-lemma aaa_lcpr_cpr_conf: ∀L1,T1,A. L1 ⊢ T1 ÷ A → ∀L2. L1 ⊢ ➡ L2 →
-                         ∀T2. L2 ⊢ T1 ➡ T2 → L2 ⊢ T2 ÷ A.
+lemma aaa_lcpr_cpr_conf: ∀L1,T1,A. L1 ⊢ T1  A → ∀L2. L1 ⊢ ➡ L2 →
+                         ∀T2. L2 ⊢ T1 ➡ T2 → L2 ⊢ T2  A.
 /3 width=3/ qed.