syntactic components detached from basic_2 become static_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / static / lsubc_drops.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/lsubc_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/static/lsubc_drops.ma
deleted file mode 100644 (file)
index 1916a81..0000000
--- a/matita/matita/contribs/lambdadelta/basic_2/static/lsubc_drops.ma
+++ /dev/null
@@ -1,70 +0,0 @@
-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||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/static/aaa_drops.ma".
-include "basic_2/static/lsubc.ma".
-
-(* LOCAL ENVIRONMENT REFINEMENT FOR GENERIC REDUCIBILITY ********************)
-
-(* Properties with generic slicing ******************************************)
-
-(* Note: the premise 𝐔⦃f⦄ cannot be removed *)
-(* Basic_1: includes: csubc_drop_conf_O *)
-(* Basic_2A1: includes: lsubc_drop_O1_trans *)
-lemma lsubc_drops_trans_isuni: ∀RP,G,L1,L2. G ⊢ L1 ⫃[RP] L2 →
-                               ∀b,f,K2. 𝐔⦃f⦄ → ⬇*[b, f] L2 ≘ K2 →
-                               ∃∃K1. ⬇*[b, f] L1 ≘ K1 & G ⊢ K1 ⫃[RP] K2.
-#RP #G #L1 #L2 #H elim H -L1 -L2
-[ /2 width=3 by ex2_intro/
-| #I #L1 #L2 #HL12 #IH #b #f #K2 #Hf #H
-  elim (drops_inv_bind1_isuni … Hf H) -Hf -H *
-  [ #Hf #H destruct -IH
-    /3 width=3 by lsubc_bind, drops_refl, ex2_intro/
-  | #g #Hg #HLK2 #H destruct -HL12
-    elim (IH … Hg HLK2) -L2 -Hg /3 width=3 by drops_drop, ex2_intro/
-  ]
-| #L1 #L2 #V #W #A #HV #H1W #H2W #HL12 #IH #b #f #K2 #Hf #H
-  elim (drops_inv_bind1_isuni … Hf H) -Hf -H *
-  [ #Hf #H destruct -IH
-    /3 width=8 by drops_refl, lsubc_beta, ex2_intro/
-  | #g #Hg #HLK2 #H destruct -HL12
-    elim (IH … Hg HLK2) -L2 -Hg /3 width=3 by drops_drop, ex2_intro/
-  ]
-]
-qed-.
-
-(* Basic_1: was: csubc_drop1_conf_rev *)
-(* Basic_1: includes: csubc_drop_conf_rev *)
-(* Basic_2A1: includes: drop_lsubc_trans *)
-lemma drops_lsubc_trans: ∀RR,RS,RP. gcp RR RS RP →
-                         ∀b,f,G,L1,K1. ⬇*[b, f] L1 ≘ K1 → ∀K2. G ⊢ K1 ⫃[RP] K2 →
-                         ∃∃L2. G ⊢ L1 ⫃[RP] L2 & ⬇*[b, f] L2 ≘ K2.
-#RR #RS #RP #HR #b #f #G #L1 #K1 #H elim H -f -L1 -K1
-[ #f #Hf #Y #H lapply (lsubc_inv_atom1 … H) -H
-  #H destruct /4 width=3 by lsubc_atom, drops_atom, ex2_intro/
-| #f #I #L1 #K1 #_ #IH #K2 #HK12 elim (IH … HK12) -K1
-  /3 width=5 by lsubc_bind, drops_drop, ex2_intro/
-| #f #Z #I #L1 #K1 #HLK1 #HZ #IH #Y #H elim (lsubc_inv_bind1 … H) -H *
-  [ #K2 #HK12 #H destruct -HLK1
-    elim (IH … HK12) -K1 /3 width=5 by lsubc_bind, drops_skip, ex2_intro/
-  | #K2 #V2 #W2 #A #HV2 #H1W2 #H2W2 #HK12 #H1 #H2 destruct
-    elim (liftsb_inv_pair_sn … HZ) -HZ #V1 #HV21 #H destruct
-    elim (lifts_inv_flat1 … HV21) -HV21 #W3 #V3 #HW23 #HV3 #H destruct
-    elim (IH … HK12) -IH -HK12 #K #HL1K #HK2
-    lapply (acr_lifts … HR … HV2 … HLK1 … HV3) -HV2
-    lapply (acr_lifts … HR … H1W2 … HLK1 … HW23) -H1W2
-    /4 width=10 by lsubc_beta, aaa_lifts, drops_skip, ext2_pair, ex2_intro/
-  ]
-]
-qed-.