matita/matita/contribs/lambdadelta/basic_2/etc_2A1/fpr/lfpr_fpr.etc

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  14
  15 include "basic_2/reducibility/lfpr.ma".
  16 include "basic_2/reducibility/cfpr_cpr.ma".
  17
  18 (* FOCALIZED PARALLEL REDUCTION ON LOCAL ENVIRONMENTS ***********************)
  19
  20 (* Properties on context-free parallel reduction for closures ***************)
  21
  22 lemma fpr_lfpr: ∀L1,L2,T1,T2. ⦃L1, T1⦄ ➡ ⦃L2, T2⦄ → ⦃L1⦄ ➡ ⦃L2⦄.
  23 #L1 #L2 #T1 #T2 #H
  24 elim (fpr_inv_all … H) -H /2 width=3/
  25 qed.
  26
  27 (* Inversion lemmas on context-free parallel reduction for closures *********)
  28
  29 lemma lfpr_inv_fpr: ∀L1,L2. ⦃L1⦄ ➡ ⦃L2⦄ → ∀T. ⦃L1, T⦄ ➡ ⦃L2, T⦄.
  30 #L1 #L2 * /2 width=4/
  31 qed-.