- new extendedd beta-reductum involving native type annotation

[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 56eebf47ccc5fcd4e9948ce2ba585b59a0e7f64e..4d9d55261752ba2c92b40df1f175e5e59a9b7313 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/reduction/lpx_aaa.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/reduction/lpx_aaa.ma
@@ -47,11 +47,11 @@ lemma aaa_cpx_lpx_conf: ∀h,g,L1,T1,A. L1 ⊢ T1 ⁝ A → ∀T2. ⦃h, L1⦄ 
 | #L1 #V1 #T1 #B #A #_ #_ #IHV1 #IHT1 #X #H #L2 #HL12
   elim (cpx_inv_appl1 … H) -H *
   [ #V2 #T2 #HV12 #HT12 #H destruct /3 width=3/
-  | #b #V2 #W1 #U1 #U2 #HV12 #HU12 #H1 #H2 destruct
+  | #b #V2 #W1 #W2 #U1 #U2 #HV12 #HW12 #HU12 #H1 #H2 destruct
     lapply (IHV1 … HV12 … HL12) -IHV1 -HV12 #HV2
-    lapply (IHT1 (ⓛ{b}W1.U2) … HL12) -IHT1 /2 width=1/ -L1 #H
+    lapply (IHT1 (ⓛ{b}W2.U2) … HL12) -IHT1 /2 width=1/ -L1 #H
     elim (aaa_inv_abst … H) -H #B0 #A0 #HW1 #HU2 #H destruct
-    lapply (lsuba_aaa_trans … HU2 (L2.ⓓV2) ?) -HU2 /2 width=2/ /2 width=3/
+    lapply (lsuba_aaa_trans … HU2 (L2.ⓓⓝW2.V2) ?) -HU2 /3 width=3/
   | #b #V #V2 #W1 #W2 #U1 #U2 #HV1 #HV2 #HW12 #HU12 #H1 #H2 destruct
     lapply (aaa_lift L2 … B … (L2.ⓓW2) … HV2) -HV2 /2 width=1/ #HV2
     lapply (IHT1 (ⓓ{b}W2.U2) … HL12) -IHT1 /2 width=1/ -L1 #H
@@ -61,6 +61,7 @@ lemma aaa_cpx_lpx_conf: ∀h,g,L1,T1,A. L1 ⊢ T1 ⁝ A → ∀T2. ⦃h, L1⦄ 
   elim (cpx_inv_cast1 … H) -H
   [ * #V2 #T2 #HV12 #HT12 #H destruct /3 width=1/
   | -IHV1 /2 width=1/
+  | -IHT1 /2 width=1/
   ]
 ]
 qed-.
@@ -70,9 +71,10 @@ lemma aaa_cpx_conf: ∀h,g,L,T1,A. L ⊢ T1 ⁝ A → ∀T2. ⦃h, L⦄ ⊢ T1 
 
 lemma aaa_lpx_conf: ∀h,g,L1,T,A. L1 ⊢ T ⁝ A → ∀L2. ⦃h, L1⦄ ⊢ ➡[g] L2 → L2 ⊢ T ⁝ A.
 /2 width=7 by aaa_cpx_lpx_conf/ qed-.
-
-lemma aaa_cpr_conf: ∀L,T1,A. L ⊢ T1 ⁝ A → ∀T2. L ⊢ T1 ➡ T2 → L ⊢ T2 ⁝ A.
+(*
+lamma aaa_cpr_conf: ∀L,T1,A. L ⊢ T1 ⁝ A → ∀T2. L ⊢ T1 ➡ T2 → L ⊢ T2 ⁝ A.
 /3 width=5 by aaa_cpx_conf, cpr_cpx/ qed-.
 
-lemma aaa_lpr_conf: ∀L1,T,A. L1 ⊢ T ⁝ A → ∀L2. L1 ⊢ ➡ L2 → L2 ⊢ T ⁝ A.
+lamma 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