- predefined_virtuals: an addition

[helm.git] / matita / matita / contribs / lambda_delta / basic_2 / static / aaa_ltpss.ma

diff --git a/matita/matita/contribs/lambda_delta/basic_2/static/aaa_ltpss.ma b/matita/matita/contribs/lambda_delta/basic_2/static/aaa_ltpss.ma
index 9de6b65419aa06701f3ee95bcdd1398617e1291d..ed624a9df6472a8499249f4523969486a658dd81 100644 (file)
--- a/matita/matita/contribs/lambda_delta/basic_2/static/aaa_ltpss.ma
+++ b/matita/matita/contribs/lambda_delta/basic_2/static/aaa_ltpss.ma
@@ -21,8 +21,8 @@ include "basic_2/static/aaa_lift.ma".
 (* Properties about parallel unfold *****************************************)
 
 (* Note: lemma 500 *)
-lemma aaa_ltpss_tpss_conf: ∀L1,T1,A. L1 ⊢ T1 ÷ A → ∀L2,d,e. L1 [d, e] ▶* L2 →
-                           ∀T2. L2 ⊢ T1 [d, e] ▶* T2 → L2 ⊢ T2 ÷ A.
+lemma aaa_ltpss_tpss_conf: ∀L1,T1,A. L1 ⊢ T1 ⁝ A → ∀L2,d,e. L1 [d, e] ▶* L2 →
+                           ∀T2. L2 ⊢ T1 [d, e] ▶* T2 → L2 ⊢ T2 ⁝ A.
 #L1 #T1 #A #H elim H -L1 -T1 -A
 [ #L1 #k #L2 #d #e #_ #T2 #H
   >(tpss_inv_sort1 … H) -H //
@@ -59,18 +59,18 @@ lemma aaa_ltpss_tpss_conf: ∀L1,T1,A. L1 ⊢ T1 ÷ A → ∀L2,d,e. L1 [d, e] 
 ]
 qed.
 
-lemma aaa_ltpss_tps_conf: ∀L1,T1,A. L1 ⊢ T1 ÷ A → ∀L2,d,e. L1 [d, e] ▶* L2 →
-                          ∀T2. L2 ⊢ T1 [d, e] ▶ T2 → L2 ⊢ T2 ÷ A.
+lemma aaa_ltpss_tps_conf: ∀L1,T1,A. L1 ⊢ T1 ⁝ A → ∀L2,d,e. L1 [d, e] ▶* L2 →
+                          ∀T2. L2 ⊢ T1 [d, e] ▶ T2 → L2 ⊢ T2 ⁝ A.
 /3 width=7/ qed.
 
-lemma aaa_ltpss_conf: ∀L1,T,A. L1 ⊢ T ÷ A →
-                      ∀L2,d,e. L1 [d, e] ▶* L2 → L2 ⊢ T ÷ A.
+lemma aaa_ltpss_conf: ∀L1,T,A. L1 ⊢ T ⁝ A →
+                      ∀L2,d,e. L1 [d, e] ▶* L2 → L2 ⊢ T ⁝ A.
 /2 width=7/ qed.
 
-lemma aaa_tpss_conf: ∀L,T1,A. L ⊢ T1 ÷ A →
-                     ∀T2,d,e. L ⊢ T1 [d, e] ▶* T2 → L ⊢ T2 ÷ A.
+lemma aaa_tpss_conf: ∀L,T1,A. L ⊢ T1 ⁝ A →
+                     ∀T2,d,e. L ⊢ T1 [d, e] ▶* T2 → L ⊢ T2 ⁝ A.
 /2 width=7/ qed.
 
-lemma aaa_tps_conf: ∀L,T1,A. L ⊢ T1 ÷ A →
-                    ∀T2,d,e. L ⊢ T1 [d, e] ▶ T2 → L ⊢ T2 ÷ A.
+lemma aaa_tps_conf: ∀L,T1,A. L ⊢ T1 ⁝ A →
+                    ∀T2,d,e. L ⊢ T1 [d, e] ▶ T2 → L ⊢ T2 ⁝ A.
 /2 width=7/ qed.