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

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  14
  15 include "basic_2/rt_transition/lfpx_lpx.ma".
  16
  17 (* UNBOUND 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 (h) (G): ∀L0,T0,T1. ⦃G, L0⦄ ⊢ T0 ⬈[h] T1 →
  23                                  ∀L2. ⦃G, L0⦄ ⊢ ⬈[h] L2 → ⦃L2, T1⦄ ⊆ ⦃L0, T0⦄.
  24 /3 width=4 by lfpx_cpx_conf_fsge, lpx_lfpx/ qed-.
  25
  26 (* Basic_2A1: uses: lpx_frees_trans *)
  27 lemma lpx_fsge_comp (h) (G): ∀L0,L2,T0. ⦃G, L0⦄ ⊢ ⬈[h] L2 → ⦃L2, T0⦄ ⊆ ⦃L0, T0⦄.
  28 /2 width=4 by lpx_cpx_conf_fsge/ qed-.