- bugfixed "aacr" allows to remove historical eta-conversions

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / computation / cpxs_tstc_vector.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/cpxs_tstc_vector.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/cpxs_tstc_vector.ma
index 08d284d97c777eee1a9d09d8d9157d5c7e4f271e..becbd624d463d01b6c002d79b1029e13948299d7 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/cpxs_tstc_vector.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/cpxs_tstc_vector.ma
@@ -29,10 +29,10 @@ elim (cpxs_inv_appl1 … H) -H *
 [ -IHVs #V0 #T0 #_ #_ #H destruct /2 width=1 by tstc_pair/
 | #a #W0 #T0 #HT0 #HU
   lapply (IHVs … HT0) -IHVs -HT0 #HT0
-  elim (tstc_inv_bind_appls_simple … HT0) //
+  elim (tstc_inv_bind_applv_simple … HT0) //
 | #a #V1 #V2 #V0 #T0 #HV1 #HV12 #HT0 #HU
   lapply (IHVs … HT0) -IHVs -HT0 #HT0
-  elim (tstc_inv_bind_appls_simple … HT0) //
+  elim (tstc_inv_bind_applv_simple … HT0) //
 ]
 qed-.
 
@@ -44,14 +44,14 @@ elim (cpxs_inv_appl1 … H) -H *
 [ -IHVs #V1 #T1 #_ #_ #H destruct /2 width=1 by tstc_pair, or_introl/
 | #a #W1 #T1 #HT1 #HU
   elim (IHVs … HT1) -IHVs -HT1 #HT1
-  [ elim (tstc_inv_bind_appls_simple … HT1) //
+  [ elim (tstc_inv_bind_applv_simple … HT1) //
   | @or_intror (**) (* explicit constructor *)
     @(cpxs_trans … HU) -U
     @(cpxs_strap1 … (ⓐV.ⓛ{a}W1.T1)) /3 width=1 by cpxs_flat_dx, cpr_cpx, cpr_beta/
   ]
 | #a #V1 #V2 #V3 #T1 #HV01 #HV12 #HT1 #HU
   elim (IHVs … HT1) -IHVs -HT1 #HT1
-  [ elim (tstc_inv_bind_appls_simple … HT1) //
+  [ elim (tstc_inv_bind_applv_simple … HT1) //
   | @or_intror (**) (* explicit constructor *)
     @(cpxs_trans … HU) -U
     @(cpxs_strap1 … (ⓐV1.ⓓ{a}V3.T1)) /3 width=3 by cpxs_flat, cpr_cpx, cpr_theta/
@@ -69,14 +69,14 @@ elim (cpxs_inv_appl1 … H) -H *
 [ -IHVs #V1 #T1 #_ #_ #H destruct /2 width=1 by tstc_pair, or_introl/
 | #b #W1 #T1 #HT1 #HU
   elim (IHVs … HT1) -IHVs -HT1 #HT1
-  [ elim (tstc_inv_bind_appls_simple … HT1) //
+  [ elim (tstc_inv_bind_applv_simple … HT1) //
   | @or_intror (**) (* explicit constructor *)
     @(cpxs_trans … HU) -U
     @(cpxs_strap1 … (ⓐV0.ⓛ{b}W1.T1)) /3 width=1 by cpxs_flat_dx, cpr_cpx, cpr_beta/
   ]
 | #b #V1 #V2 #V3 #T1 #HV01 #HV12 #HT1 #HU
   elim (IHVs … HT1) -IHVs -HT1 #HT1
-  [ elim (tstc_inv_bind_appls_simple … HT1) //
+  [ elim (tstc_inv_bind_applv_simple … HT1) //
   | @or_intror (**) (* explicit constructor *)
     @(cpxs_trans … HU) -U
     @(cpxs_strap1 … (ⓐV1.ⓓ{b}V3.T1)) /3 width=3 by cpxs_flat, cpr_cpx, cpr_theta/
@@ -94,14 +94,14 @@ elim (cpxs_inv_appl1 … H) -H *
 [ -IHVs #V0 #T0 #_ #_ #H destruct /2 width=1 by tstc_pair, or_introl/
 | #b #W0 #T0 #HT0 #HU
   elim (IHVs … HT0) -IHVs -HT0 #HT0
-  [ elim (tstc_inv_bind_appls_simple … HT0) //
+  [ elim (tstc_inv_bind_applv_simple … HT0) //
   | @or_intror -i (**) (* explicit constructor *)
     @(cpxs_trans … HU) -U
     @(cpxs_strap1 … (ⓐV.ⓛ{b}W0.T0)) /3 width=1 by cpxs_flat_dx, cpr_cpx, cpr_beta/
   ]
 | #b #V0 #V1 #V3 #T0 #HV0 #HV01 #HT0 #HU
   elim (IHVs … HT0) -IHVs -HT0 #HT0
-  [ elim (tstc_inv_bind_appls_simple … HT0) //
+  [ elim (tstc_inv_bind_applv_simple … HT0) //
   | @or_intror -i (**) (* explicit constructor *)
     @(cpxs_trans … HU) -U
     @(cpxs_strap1 … (ⓐV0.ⓓ{b}V3.T0)) /3 width=3 by cpxs_flat, cpr_cpx, cpr_theta/
@@ -145,11 +145,11 @@ elim (cpxs_inv_appl1 … H) -H *
     @(cpxs_trans … HU) -U
     elim (cpxs_inv_abbr1 … HT0) -HT0 *
     [ #V1 #T1 #HV1 #HT1 #H destruct
-      lapply (cpxs_lift â\80¦ HV10a (L.â\93\93V) (â\93\89) … HV12a … HV0a) -V1a -V0a [ /2 width=1 by drop_drop/ ] #HV2a
+      lapply (cpxs_lift â\80¦ HV10a (L.â\93\93V) (â\92») … HV12a … HV0a) -V1a -V0a [ /2 width=1 by drop_drop/ ] #HV2a
       @(cpxs_trans … (ⓓ{a}V.ⓐV2a.T1)) /3 width=1 by cpxs_bind, cpxs_pair_sn, cpxs_flat_dx, cpxs_bind_dx/
     | #X #HT1 #H #H0 destruct
       elim (lift_inv_bind1 … H) -H #V1 #T1 #HW01 #HT01 #H destruct
-      lapply (cpxs_lift â\80¦ HV10a (L.â\93\93V0) (â\93\89) … HV12a … HV0a) -V0a [ /2 width=1 by drop_drop/ ] #HV2a
+      lapply (cpxs_lift â\80¦ HV10a (L.â\93\93V0) (â\92») … HV12a … HV0a) -V0a [ /2 width=1 by drop_drop/ ] #HV2a
       @(cpxs_trans … (+ⓓV.ⓐV2a.ⓓ{b}V1.T1)) [ /3 width=1 by cpxs_flat_dx, cpxs_bind_dx/ ] -T -V2b -V2s
       @(cpxs_strap2 … (ⓐV1a.ⓓ{b}V0.T0)) [ /4 width=7 by cpx_zeta, lift_bind, lift_flat/ ] -V -V1 -T1
       @(cpxs_strap2 … (ⓓ{b}V0.ⓐV2a.T0)) /3 width=3 by cpxs_pair_sn, cpxs_bind_dx, cpr_cpx, cpr_theta/
@@ -168,7 +168,7 @@ lemma cpxs_fwd_cast_vector: ∀h,g,G,L,Vs,W,T,U. ⦃G, L⦄ ⊢ ⒶVs.ⓝW.T ➡
 elim (cpxs_inv_appl1 … H) -H *
 [ -IHVs #V0 #T0 #_ #_ #H destruct /2 width=1 by tstc_pair, or3_intro0/
 | #b #W0 #T0 #HT0 #HU elim (IHVs … HT0) -IHVs -HT0 #HT0
-  [ elim (tstc_inv_bind_appls_simple … HT0) //
+  [ elim (tstc_inv_bind_applv_simple … HT0) //
   | @or3_intro1 -W (**) (* explicit constructor *)
     @(cpxs_trans … HU) -U
     @(cpxs_strap1 … (ⓐV.ⓛ{b}W0.T0)) /2 width=1 by cpxs_flat_dx, cpx_beta/
@@ -178,7 +178,7 @@ elim (cpxs_inv_appl1 … H) -H *
   ]
 | #b #V0 #V1 #V2 #T0 #HV0 #HV01 #HT0 #HU
   elim (IHVs … HT0) -IHVs -HT0 #HT0
-  [ elim (tstc_inv_bind_appls_simple … HT0) //
+  [ elim (tstc_inv_bind_applv_simple … HT0) //
   | @or3_intro1 -W (**) (* explicit constructor *)
     @(cpxs_trans … HU) -U
     @(cpxs_strap1 … (ⓐV0.ⓓ{b}V2.T0)) /2 width=3 by cpxs_flat, cpx_theta/