milestone update in ground_2 and basic_2A

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc_2A1 / cpr / lfpr.etc

diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/cpr/lfpr.etc b/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/cpr/lfpr.etc
deleted file mode 100644 (file)
index ea9f585..0000000
--- a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/cpr/lfpr.etc
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-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||M||                                                             *)
-(*      ||A||       A project by Andrea Asperti                           *)
-(*      ||T||                                                             *)
-(*      ||I||       Developers:                                           *)
-(*      ||T||         The HELM team.                                      *)
-(*      ||A||         http://helm.cs.unibo.it                             *)
-(*      \   /                                                             *)
-(*       \ /        This file is distributed under the terms of the       *)
-(*        v         GNU General Public License Version 2                  *)
-(*                                                                        *)
-(**************************************************************************)
-
-notation "hvbox( ⦃ term 46 L1 ⦄ ➡ break ⦃ term 46 L2 ⦄ )"
-   non associative with precedence 45
-   for @{ 'FocalizedPRed $L1 $L2 }.
-
-include "basic_2/unfold/ltpss_sn.ma".
-include "basic_2/reducibility/ltpr.ma".
-
-(* FOCALIZED PARALLEL REDUCTION ON LOCAL ENVIRONMENTS ***********************)
-
-definition lfpr: relation lenv ≝
-   λL1,L2. ∃∃L. L1 ➡ L & L ⊢ ▶* [0, |L|] L2
-.
-
-interpretation
-  "focalized parallel reduction (environment)"
-  'FocalizedPRed L1 L2 = (lfpr L1 L2).
-
-(* Basic properties *********************************************************)
-
-(* Note: lemma 250 *)
-lemma lfpr_refl: ∀L. ⦃L⦄ ➡ ⦃L⦄.
-/2 width=3/ qed.
-
-lemma ltpss_sn_lfpr: ∀L1,L2,d,e. L1 ⊢ ▶* [d, e] L2 → ⦃L1⦄ ➡ ⦃L2⦄.
-/3 width=5/ qed.
-
-lemma ltpr_lfpr: ∀L1,L2. L1 ➡ L2 → ⦃L1⦄ ➡ ⦃L2⦄.
-/3 width=3/ qed.
-
-(* Basic inversion lemmas ***************************************************)
-
-lemma lfpr_inv_atom1: ∀L2. ⦃⋆⦄ ➡ ⦃L2⦄ → L2 = ⋆.
-#L2 * #L #HL >(ltpr_inv_atom1 … HL) -HL #HL2 >(ltpss_sn_inv_atom1 … HL2) -HL2 //
-qed-.