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

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  14
  15 include "basic_2/static/lfxs_fqup.ma".
  16 include "basic_2/rt_transition/lfpr.ma".
  17
  18 (* PARALLEL R-TRANSITION FOR LOCAL ENV.S ON REFERRED ENTRIES ****************)
  19
  20 (* Advanced properties ******************************************************)
  21
  22 (* Note: lemma 250 *)
  23 (* Basic_2A1: uses: lpr_refl *)
  24 lemma lfpr_refl: ∀h,G,T. reflexive … (lfpr h G T).
  25 /2 width=1 by lfxs_refl/ qed.
  26
  27 (* Basic_2A1: uses: lpr_pair *)
  28 lemma lfpr_pair_refl: ∀h,G,L,V1,V2. ⦃G, L⦄ ⊢ V1 ➡[h] V2 →
  29                       ∀I,T. ⦃G, L.ⓑ{I}V1⦄ ⊢ ➡[h, T] L.ⓑ{I}V2.
  30 /2 width=1 by lfxs_pair_refl/ qed.
  31
  32 (* Advanced inversion lemmas ************************************************)
  33
  34 lemma lfpr_inv_bind_void: ∀h,p,I,G,L1,L2,V,T. ⦃G, L1⦄ ⊢ ➡[h, ⓑ{p,I}V.T] L2 →
  35                           ∧∧ ⦃G, L1⦄ ⊢ ➡[h, V] L2 & ⦃G, L1.ⓧ⦄ ⊢ ➡[h, T] L2.ⓧ.
  36 /2 width=3 by lfxs_inv_bind_void/ qed-.
  37
  38 (* Advanced forward lemmas **************************************************)
  39
  40 lemma lfpr_fwd_bind_dx_void: ∀h,p,I,G,L1,L2,V,T.
  41                              ⦃G, L1⦄ ⊢ ➡[h, ⓑ{p,I}V.T] L2 → ⦃G, L1.ⓧ⦄ ⊢ ➡[h, T] L2.ⓧ.
  42 /2 width=4 by lfxs_fwd_bind_dx_void/ qed-.