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

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  14
  15 include "basic_2/rt_transition/rpx_lpx.ma".
  16
  17 (* EXTENDED PARALLEL RT-TRANSITION FOR FULL LOCAL ENVIRONMENTS **************)
  18
  19 (* Forward lemmas with free variables inclusion for restricted closures *****)
  20
  21 (* Basic_2A1: uses: lpx_cpx_frees_trans *)
  22 lemma lpx_cpx_conf_fsge (G):
  23       ∀L0,T0,T1. ❪G,L0❫ ⊢ T0 ⬈ T1 →
  24       ∀L2. ❪G,L0❫ ⊢ ⬈ L2 → ❪L2,T1❫ ⊆ ❪L0,T0❫.
  25 /3 width=4 by rpx_cpx_conf_fsge, lpx_rpx/ qed-.
  26
  27 (* Basic_2A1: uses: lpx_frees_trans *)
  28 lemma lpx_fsge_comp (G):
  29       ∀L0,L2,T0. ❪G,L0❫ ⊢ ⬈ L2 → ❪L2,T0❫ ⊆ ❪L0,T0❫.
  30 /2 width=4 by lpx_cpx_conf_fsge/ qed-.