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syntactic components detached from basic_2 become static_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / relocation / drops_weight.ma
diff --git a/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_weight.ma b/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_weight.ma
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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                  *)
-(*                                                                        *)
-(**************************************************************************)
-
-include "basic_2/syntax/cl_restricted_weight.ma".
-include "basic_2/relocation/lifts_weight_bind.ma".
-include "basic_2/relocation/drops.ma".
-
-(* GENERIC SLICING FOR LOCAL ENVIRONMENTS ***********************************)
-
-(* Forward lemmas with weight for local environments ************************)
-
-(* Basic_2A1: includes: drop_fwd_lw *)
-lemma drops_fwd_lw: ∀b,f,L1,L2. ⬇*[b, f] L1 ≘ L2 → ♯{L2} ≤ ♯{L1}.
-#b #f #L1 #L2 #H elim H -f -L1 -L2 //
-[ /2 width=3 by transitive_le/
-| #f #I1 #I2 #L1 #L2 #_ #HI21 #IHL12 normalize
-  >(liftsb_fwd_bw … HI21) -HI21 /2 width=1 by monotonic_le_plus_l/
-]
-qed-.
-
-(* Basic_2A1: includes: drop_fwd_lw_lt *)
-lemma drops_fwd_lw_lt: ∀f,L1,L2. ⬇*[Ⓣ, f] L1 ≘ L2 →
-                       (𝐈⦃f⦄ → ⊥) → ♯{L2} < ♯{L1}.
-#f #L1 #L2 #H elim H -f -L1 -L2
-[ #f #Hf #Hnf elim Hnf -Hnf /2 width=1 by/
-| /3 width=3 by drops_fwd_lw, le_to_lt_to_lt/
-| #f #I1 #I2 #L1 #L2 #_ #HI21 #IHL12 #H normalize in ⊢ (?%%);
-  >(liftsb_fwd_bw … HI21) -I2 /5 width=3 by isid_push, monotonic_lt_plus_l/
-]
-qed-.
-
-(* Forward lemmas with restricted weight for closures ***********************)
-
-(* Basic_2A1: includes: drop_fwd_rfw *)
-lemma drops_bind2_fwd_rfw: ∀b,f,I,L,K,V. ⬇*[b, f] L ≘ K.ⓑ{I}V → ∀T. ♯{K, V} < ♯{L, T}.
-#b #f #I #L #K #V #HLK lapply (drops_fwd_lw … HLK) -HLK
-normalize in ⊢ (%→?→?%%); /3 width=3 by le_to_lt_to_lt, monotonic_lt_plus_r/
-qed-.
-
-(* Advanced inversion lemma *************************************************)
-
-lemma drops_inv_x_bind_xy: ∀b,f,I,L. ⬇*[b, f] L ≘ L.ⓘ{I} → ⊥.
-#b #f #I #L #H lapply (drops_fwd_lw … H) -b -f
-/2 width=4 by lt_le_false/ (**) (* full auto is a bit slow: 19s *)
-qed-.