matita/matita/contribs/lambdadelta/basic_2/rt_computation/lfpxs_etc.ma

   1
   2 include "basic_2/static/lfxs_lex.ma".
   3 include "basic_2/static/lfxs_fle.ma".
   4 include "basic_2/rt_transition/cpx_etc.ma".
   5 include "basic_2/rt_computation/lfpxs_lpxs.ma".
   6
   7 lemma lfpxs_cpx_conf: ∀h,G. s_r_confluent1 … (cpx h G) (lfpxs h G).
   8 #h #G #L1 #T1 #T2 #HT12 #L2 #H
   9 elim (tc_lfxs_inv_lex_lfeq … H) -H #L #HL1 #HL2
  10 lapply (lfxs_lex … HL1 T1) #H
  11 elim (cpx_lfxs_conf_fle … HT12 … H) -HT12 -H // #_ #HT21 #_
  12 @(lfpxs_lpxs_lfeq … HL1) -HL1
  13 @(fle_lfxs_trans … HL2) //
  14 qed-.