matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_feqx.ma

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   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
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  10 (*       \ /        This file is distributed under the terms of the       *)
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  14
  15 include "static_2/static/feqx.ma".
  16 include "basic_2/rt_transition/cpx_reqx.ma".
  17 include "basic_2/rt_transition/rpx_reqx.ma".
  18
  19 (* EXTENDED CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS **************)
  20
  21 (* Properties with sort-irrelevant equivalence for closures *****************)
  22
  23 (**) (* to update *)
  24 lemma feqx_cpx_trans:
  25       ∀G1,G2,L1,L2,T1,T. ❪G1,L1,T1❫ ≛ ❪G2,L2,T❫ →
  26       ∀T2. ❪G2,L2❫ ⊢ T ⬈ T2 →
  27       ∃∃T0. ❪G1,L1❫ ⊢ T1 ⬈ T0 & ❪G1,L1,T0❫ ≛ ❪G2,L2,T2❫.
  28 #G1 #G2 #L1 #L2 #T1 #T #H #T2 #HT2
  29 elim (feqx_inv_gen_dx … H) -H #H #HL12 #HT1 destruct
  30 lapply (reqx_cpx_trans … HL12 … HT2) #H
  31 lapply (cpx_reqx_conf_dx … HT2 … HL12) -HT2 -HL12 #HL12
  32 lapply (teqx_cpx_trans … HT1 … H) -T #HT12
  33 /3 width=3 by feqx_intro_dx, ex2_intro/
  34 qed-.