partial commit: just the components before "static" ...

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / reduction / lpx_aaa.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/reduction/lpx_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/reduction/lpx_aaa.ma
index 4d9d55261752ba2c92b40df1f175e5e59a9b7313..41d1386ddc2b9d7ee4a9af1af356016534799bb1 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/reduction/lpx_aaa.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/reduction/lpx_aaa.ma
@@ -20,8 +20,9 @@ include "basic_2/reduction/lpx_ldrop.ma".
 
 (* Properties on atomic arity assignment for terms **************************)
 
-lemma aaa_cpx_lpx_conf: ∀h,g,L1,T1,A. L1 ⊢ T1 ⁝ A → ∀T2. ⦃h, L1⦄ ⊢ T1 ➡[g] T2 →
-                        ∀L2. ⦃h, L1⦄ ⊢ ➡[g] L2 → L2 ⊢ T2 ⁝ A.
+(* Note: lemma 500 *)
+lemma aaa_cpx_lpx_conf: ∀h,g,L1,T1,A. L1 ⊢ T1 ⁝ A → ∀T2. ⦃h, L1⦄ ⊢ T1 ➡[h, g] T2 →
+                        ∀L2. ⦃h, L1⦄ ⊢ ➡[h, g] L2 → L2 ⊢ T2 ⁝ A.
 #h #g #L1 #T1 #A #H elim H -L1 -T1 -A
 [ #L1 #k #X #H
   elim (cpx_inv_sort1 … H) -H // * //
@@ -66,15 +67,14 @@ lemma aaa_cpx_lpx_conf: ∀h,g,L1,T1,A. L1 ⊢ T1 ⁝ A → ∀T2. ⦃h, L1⦄ 
 ]
 qed-.
 
-lemma aaa_cpx_conf: ∀h,g,L,T1,A. L ⊢ T1 ⁝ A → ∀T2. ⦃h, L⦄ ⊢ T1 ➡[g] T2 → L ⊢ T2 ⁝ A.
+lemma aaa_cpx_conf: ∀h,g,L,T1,A. ⦃G, L⦄ ⊢ T1 ⁝ A → ∀T2. ⦃G, L⦄ ⊢ T1 ➡[h, g] T2 → ⦃G, L⦄ ⊢ T2 ⁝ A.
 /2 width=7 by aaa_cpx_lpx_conf/ qed-.
 
-lemma aaa_lpx_conf: ∀h,g,L1,T,A. L1 ⊢ T ⁝ A → ∀L2. ⦃h, L1⦄ ⊢ ➡[g] L2 → L2 ⊢ T ⁝ A.
+lemma aaa_lpx_conf: ∀h,g,L1,T,A. L1 ⊢ T ⁝ A → ∀L2. ⦃h, L1⦄ ⊢ ➡[h, g] L2 → L2 ⊢ T ⁝ A.
 /2 width=7 by aaa_cpx_lpx_conf/ qed-.
-(*
-lamma aaa_cpr_conf: ∀L,T1,A. L ⊢ T1 ⁝ A → ∀T2. L ⊢ T1 ➡ T2 → L ⊢ T2 ⁝ A.
+
+lemma aaa_cpr_conf: ∀L,T1,A. ⦃G, L⦄ ⊢ T1 ⁝ A → ∀T2. ⦃G, L⦄ ⊢ T1 ➡ T2 → ⦃G, L⦄ ⊢ T2 ⁝ A.
 /3 width=5 by aaa_cpx_conf, cpr_cpx/ qed-.
 
-lamma aaa_lpr_conf: ∀L1,T,A. L1 ⊢ T ⁝ A → ∀L2. L1 ⊢ ➡ L2 → L2 ⊢ T ⁝ A.
+lemma aaa_lpr_conf: ∀L1,T,A. L1 ⊢ T ⁝ A → ∀L2. L1 ⊢ ➡ L2 → L2 ⊢ T ⁝ A.
 /3 width=5 by aaa_lpx_conf, lpr_lpx/ qed-.
-*)
\ No newline at end of file