milestone update in basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpms_teqx_conf.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpms_teqx_conf.ma
index f0e8dff67cdcdd1ccc01282fdcbbedcd06695763..e992d2e26d44d5ed4213fae54eec832e4b29123e 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpms_teqx_conf.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpms_teqx_conf.ma
@@ -20,12 +20,12 @@ include "basic_2/dynamic/cnv_cpms_teqx.ma".
 (* Sub confluence propery with restricted rt-transition for terms ***********)
 
 fact cnv_cpms_teqx_strip_lpr_aux (h) (a) (G0) (L0) (T0):
-     (â\88\80G,L,T. â¦\83G0,L0,T0â¦\84 >[h] â¦\83G,L,Tâ¦\84 → IH_cnv_cpm_trans_lpr h a G L T) →
-     (â\88\80G,L,T. â¦\83G0,L0,T0â¦\84 >[h] â¦\83G,L,Tâ¦\84 → IH_cnv_cpms_conf_lpr h a G L T) →
-     â\88\80n1,T1. â¦\83G0,L0â¦\84 â\8a¢ T0 â\9e¡*[n1,h] T1 â\86\92 â¦\83G0,L0â¦\84 â\8a¢ T0 ![h,a] â\86\92 T0 â\89\9b T1 →
-     â\88\80n2,T2. â¦\83G0,L0â¦\84 â\8a¢ T0 â\9e¡[n2,h] T2 â\86\92 T0 â\89\9b T2 →
-     â\88\80L1. â¦\83G0,L0â¦\84 â\8a¢ â\9e¡[h] L1 â\86\92 â\88\80L2. â¦\83G0,L0â¦\84 â\8a¢ â\9e¡[h] L2 →
-     â\88\83â\88\83T. â¦\83G0,L1â¦\84 â\8a¢ T1 â\9e¡[n2-n1,h] T & T1 â\89\9b T & â¦\83G0,L2â¦\84 â\8a¢ T2 â\9e¡*[n1-n2,h] T & T2 â\89\9b T.
+     (â\88\80G,L,T. â\9dªG0,L0,T0â\9d« > â\9dªG,L,Tâ\9d« → IH_cnv_cpm_trans_lpr h a G L T) →
+     (â\88\80G,L,T. â\9dªG0,L0,T0â\9d« > â\9dªG,L,Tâ\9d« → IH_cnv_cpms_conf_lpr h a G L T) →
+     â\88\80n1,T1. â\9dªG0,L0â\9d« â\8a¢ T0 â\9e¡*[h,n1] T1 â\86\92 â\9dªG0,L0â\9d« â\8a¢ T0 ![h,a] â\86\92 T0 â\89\85 T1 →
+     â\88\80n2,T2. â\9dªG0,L0â\9d« â\8a¢ T0 â\9e¡[h,n2] T2 â\86\92 T0 â\89\85 T2 →
+     â\88\80L1. â\9dªG0,L0â\9d« â\8a¢ â\9e¡[h,0] L1 â\86\92 â\88\80L2. â\9dªG0,L0â\9d« â\8a¢ â\9e¡[h,0] L2 →
+     â\88\83â\88\83T. â\9dªG0,L1â\9d« â\8a¢ T1 â\9e¡[h,n2-n1] T & T1 â\89\85 T & â\9dªG0,L2â\9d« â\8a¢ T2 â\9e¡*[h,n1-n2] T & T2 â\89\85 T.
 #h #a #G #L0 #T0 #IH2 #IH1 #n1 #T1 #H1T01 #H0T0 #H2T01
 @(cpms_teqx_ind_sn … H1T01 H0T0 H2T01 IH1 IH2) -n1 -T0
 [ #H0T1 #n2 #T2 #H1T12 #H2T12 #L1 #HL01 #L2 #HL02
@@ -45,12 +45,12 @@ fact cnv_cpms_teqx_strip_lpr_aux (h) (a) (G0) (L0) (T0):
 qed-.
 
 fact cnv_cpms_teqx_conf_lpr_aux (h) (a) (G0) (L0) (T0):
-     (â\88\80G,L,T. â¦\83G0,L0,T0â¦\84 >[h] â¦\83G,L,Tâ¦\84 → IH_cnv_cpm_trans_lpr h a G L T) →
-     (â\88\80G,L,T. â¦\83G0,L0,T0â¦\84 >[h] â¦\83G,L,Tâ¦\84 → IH_cnv_cpms_conf_lpr h a G L T) →
-     â\88\80n1,T1. â¦\83G0,L0â¦\84 â\8a¢ T0 â\9e¡*[n1,h] T1 â\86\92 â¦\83G0,L0â¦\84 â\8a¢ T0 ![h,a] â\86\92 T0 â\89\9b T1 →
-     â\88\80n2,T2. â¦\83G0,L0â¦\84 â\8a¢ T0 â\9e¡*[n2,h] T2 â\86\92 T0 â\89\9b T2 →
-     â\88\80L1. â¦\83G0,L0â¦\84 â\8a¢ â\9e¡[h] L1 â\86\92 â\88\80L2. â¦\83G0,L0â¦\84 â\8a¢ â\9e¡[h] L2 →
-     â\88\83â\88\83T. â¦\83G0,L1â¦\84 â\8a¢ T1 â\9e¡*[n2-n1,h] T & T1 â\89\9b T & â¦\83G0,L2â¦\84 â\8a¢ T2 â\9e¡*[n1-n2,h] T & T2 â\89\9b T.
+     (â\88\80G,L,T. â\9dªG0,L0,T0â\9d« > â\9dªG,L,Tâ\9d« → IH_cnv_cpm_trans_lpr h a G L T) →
+     (â\88\80G,L,T. â\9dªG0,L0,T0â\9d« > â\9dªG,L,Tâ\9d« → IH_cnv_cpms_conf_lpr h a G L T) →
+     â\88\80n1,T1. â\9dªG0,L0â\9d« â\8a¢ T0 â\9e¡*[h,n1] T1 â\86\92 â\9dªG0,L0â\9d« â\8a¢ T0 ![h,a] â\86\92 T0 â\89\85 T1 →
+     â\88\80n2,T2. â\9dªG0,L0â\9d« â\8a¢ T0 â\9e¡*[h,n2] T2 â\86\92 T0 â\89\85 T2 →
+     â\88\80L1. â\9dªG0,L0â\9d« â\8a¢ â\9e¡[h,0] L1 â\86\92 â\88\80L2. â\9dªG0,L0â\9d« â\8a¢ â\9e¡[h,0] L2 →
+     â\88\83â\88\83T. â\9dªG0,L1â\9d« â\8a¢ T1 â\9e¡*[h,n2-n1] T & T1 â\89\85 T & â\9dªG0,L2â\9d« â\8a¢ T2 â\9e¡*[h,n1-n2] T & T2 â\89\85 T.
 #h #a #G #L0 #T0 #IH2 #IH1 #n1 #T1 #H1T01 #H0T0 #H2T01
 generalize in match IH1; generalize in match IH2;
 @(cpms_teqx_ind_sn … H1T01 H0T0 H2T01 IH1 IH2) -n1 -T0
@@ -63,7 +63,7 @@ generalize in match IH1; generalize in match IH2;
   #n2 #T2 #H1T02 #H2T02 #L1 #HL01 #L2 #HL02
   elim (cnv_cpms_teqx_strip_lpr_aux … IH2 IH1 … H1T02 H0T0 H2T02 … H1T03 H2T03 … HL02 L0) -H0T0 -H2T03 //
   #T4 #H1T24 #H2T24 #H1T34 #H2T34
-  elim (IH … H1T34 H2T34 … HL01 … HL02) [|*: /4 width=5 by cpm_fpbq, fpbq_fpbg_trans/ ] -L0 -T0 -T3 (**)
+  elim (IH … H1T34 H2T34 … HL01 … HL02) [|*: /4 width=5 by cpm_fwd_fpb, fpb_fpbg_trans/ ] -L0 -T0 -T3 (**)
   #T3 #H1T13 #H2T13 #H1T43 #H2T43
   <minus_plus >arith_l3
   /3 width=7 by cpms_step_sn, teqx_trans, ex4_intro/