- lambda_delta: programmed renaming to lambdadelta

[helm.git] / matita / matita / contribs / lambda_delta / basic_2 / etc / csup / csup_csup.etc

diff --git a/matita/matita/contribs/lambda_delta/basic_2/etc/csup/csup_csup.etc b/matita/matita/contribs/lambda_delta/basic_2/etc/csup/csup_csup.etc
deleted file mode 100644 (file)
index 813cb96..0000000
--- a/matita/matita/contribs/lambda_delta/basic_2/etc/csup/csup_csup.etc
+++ /dev/null
@@ -1,49 +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/substitution/ldrop_ldrop.ma".
-include "basic_2/substitution/csup.ma".
-
-(* SUPCLOSURE ***************************************************************)
-
-(* Advanced inversion lemmas ************************************************)
-
-lemma csup_inv_ldrop: ∀L1,L2,T1,T2. ⦃L1, T1⦄ > ⦃L2, T2⦄ →
-                      ∀J,W,j. ⇩[0, j] L1 ≡ L2.ⓑ{J}W → T1 = #j ∧ T2 = W.
-#L1 #L2 #T1 #T2 * -L1 -L2 -T1 -T2
-[ #I #L #K #V #i #HLKV #J #W #j #HLKW
-  elim (ldrop_conf_div … HLKV … HLKW) -L /2 width=1/
-| #a
-| #a
-]
-#I #L #V #T #J #W #j #H
-lapply (ldrop_pair2_fwd_cw … H W) -H #H
-[2: lapply (transitive_lt (#{L,W}) … H) /2 width=1/ -H #H ]
-elim (lt_refl_false … H)
-qed-.
-
-(* Main forward lemmas ******************************************************)
-
-theorem csup_trans_fwd_refl: ∀L,L0,T1,T2. ⦃L, T1⦄ > ⦃L0, T2⦄ →
-                             ∀T3. ⦃L0, T2⦄ > ⦃L, T3⦄ →
-                             L = L0 ∨ ⦃L, T1⦄ > ⦃L, T3⦄.
-#L #L0 #T1 #T2 * -L -L0 -T1 -T2 /2 width=1/
-[ #I #L0 #K0 #V0 #i #HLK0 #T3 #H
-  lapply (ldrop_pair2_fwd_cw … HLK0 T3) -HLK0 #H1
-  lapply (csup_fwd_cw … H) -H #H2
-  lapply (transitive_lt … H1 H2) -H1 -H2 #H
-  elim (lt_refl_false … H)
-| #a #I #L0 #V2 #T2 #T3 #HT23
-  elim (csup_inv_ldrop … HT23 I V2 0 ?) -HT23 // #H1 #H2 destruct /2 width=1/
-  qed-.