severe bug found in parallel zeta

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / dynamic / cnv_cpm_trans.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpm_trans.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpm_trans.ma
index 2d9f53b9c3aa455c64c80a8a88c6857047d31a8c..7fc3ae3b47082d9c5313afaeb67e97c8ce68156e 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpm_trans.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpm_trans.ma
@@ -12,25 +12,26 @@
 (*                                                                        *)
 (**************************************************************************)
 
+include "ground_2/lib/arith_2b.ma".
 include "basic_2/rt_computation/cpms_fpbg.ma".
 include "basic_2/rt_computation/cprs_cprs.ma".
 include "basic_2/rt_computation/lprs_cpms.ma".
 include "basic_2/dynamic/cnv_drops.ma".
-include "basic_2/dynamic/cnv_etc.ma".
+include "basic_2/dynamic/cnv_preserve_far.ma".
 include "basic_2/dynamic/lsubv_cnv.ma".
 
 (* CONTEXT-SENSITIVE NATIVE VALIDITY FOR TERMS ******************************)
 
-(* Properties with context-free parallel reduction for local environments *****)
+(* Far preservation propery with t-bound rt-transition for terms ************)
 
-fact cnv_cpm_trans_lpr_aux (a) (h) (o): a = Ⓕ →
+fact cnv_cpm_trans_lpr_aux (a) (h) (o):
                            ∀G0,L0,T0.
                            (∀G1,L1,T1. ⦃G0, L0, T0⦄ >[h, o] ⦃G1, L1, T1⦄ → IH_cnv_cpms_conf_lpr a h G1 L1 T1) →
                            (∀G1,L1,T1. ⦃G0, L0, T0⦄ >[h, o] ⦃G1, L1, T1⦄ → IH_cnv_cpm_trans_lpr a h G1 L1 T1) →
                            ∀G1,L1,T1. G0 = G1 → L0 = L1 → T0 = T1 → IH_cnv_cpm_trans_lpr a h G1 L1 T1.
-#a #h #o #Ha #G0 #L0 #T0 #IH2 #IH1 #G1 #L1 * * [|||| * ]
+#a #h #o #G0 #L0 #T0 #IH2 #IH1 #G1 #L1 * * [|||| * ]
 [ #s #HG0 #HL0 #HT0 #H1 #x #X #H2 #L2 #_ destruct -IH2 -IH1 -H1
-  elim (cpm_inv_sort1 … H2) -H2 * #H1 #H2 destruct //
+  elim (cpm_inv_sort1 … H2) -H2 #H #_ destruct //
 | #i #HG0 #HL0 #HT0 #H1 #x #X #H2 #L2 #HL12 destruct -IH2
   elim (cnv_inv_lref_drops … H1) -H1 #I #K1 #V1 #HLK1 #HV1
   elim (lpr_drops_conf … HLK1 … HL12) -HL12 // #Y #H #HLK2
@@ -51,8 +52,8 @@ fact cnv_cpm_trans_lpr_aux (a) (h) (o): a = Ⓕ →
   elim (cnv_inv_bind … H1) -H1 #HV1 #HT1
   elim (cpm_inv_bind1 … H2) -H2 *
   [ #V2 #T2 #HV12 #HT12 #H destruct /4 width=9 by fqup_fpbg, cnv_bind, lpr_pair/
-  | #T2 #HT12 #HXT2 #H1 #H2 destruct -HV1
-    /4 width=11 by fqup_fpbg, cnv_inv_lifts, lpr_pair, drops_refl, drops_drop/
+  | #X1 #HXT1 #HX1 #H1 #H2 destruct -HV1
+    /5 width=7 by cnv_inv_lifts, fqup_fpbg, fqup_zeta, drops_refl, drops_drop/
   ]
 | #V1 #T1 #HG0 #HL0 #HT0 #H1 #x #X #H2 #L2 #HL12 destruct
   elim (cnv_inv_appl … H1) -H1 #n #p #W1 #U1 #Hn #HV1 #HT1 #HVW1 #HTU1
@@ -69,7 +70,7 @@ fact cnv_cpm_trans_lpr_aux (a) (h) (o): a = Ⓕ →
     lapply (cpms_trans … HXV2 … HXW1) -XW1 <plus_n_O #HV2W1
     lapply (cpms_trans … HTU2 … (ⓛ{p}W1.U2) ?)
     [3:|*: /2 width=2 by cpms_bind/ ] -W2 <plus_n_O #HTU2
-    @(cnv_appl … HV2W1 HTU2) // #H destruct
+    /4 width=7 by cnv_appl, minus_le_trans_sn/
   | #q #V2 #W10 #W20 #T10 #T20 #HV12 #HW120 #HT120 #H1 #H2 destruct
     elim (cnv_inv_bind … HT1) -HT1 #HW10 #HT10
     elim (cpms_inv_abst_sn … HTU1) -HTU1 #W30 #T30 #HW130 #_ #H destruct -T30
@@ -102,7 +103,7 @@ fact cnv_cpm_trans_lpr_aux (a) (h) (o): a = Ⓕ →
     elim (cprs_conf … HXW32 … HW3) -W3 #W3 #HXW23 #HW3
     lapply (cpms_trans … HXVW2 … HXW23) -XW2 <plus_n_O #H1
     lapply (cpms_trans … HTU2 ? (ⓛ{p}W3.U2) ?) [3:|*:/2 width=2 by cpms_bind/ ] -W #H2
-    @cnv_bind // @(cnv_appl … H1 H2) // #H destruct
+    /5 width=7 by cnv_appl, cnv_bind, minus_le_trans_sn/
   ]
 | #W1 #T1 #HG0 #HL0 #HT0 #H1 #x #X #H2 #L2 #HL12 destruct
   elim (cnv_inv_cast … H1) -H1 #U1 #HW1 #HT1 #HWU1 #HTU1
@@ -118,7 +119,7 @@ fact cnv_cpm_trans_lpr_aux (a) (h) (o): a = Ⓕ →
     elim (IH2 … HXUW1 … HXUT1 … HL12 … HL12) [|*: /2 width=4 by fqup_cpms_fwd_fpbg/ ] -HXUW1 -HXUT1 -HWU1
     >eq_minus_O // #W0 #H1 #H2 -IH2 -IH1 -L1 -W1 -T1 -U1
     lapply (cprs_trans … HXW21 … H1) -XW1 #H1
-    lapply (cpms_trans … HXT21 … H2) -XT1 <arith_l #H2
+    lapply (cpms_trans … HXT21 … H2) -XT1 <arith_l1 #H2
     /2 width=3 by cnv_cast/
   | #HX -IH2 -HW1 -U1
     lapply (IH1 … HX … HL12) /2 width=1 by fqup_fpbg/