syntactic components detached from basic_2 become static_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / relocation / lifts_lifts_bind.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/relocation/lifts_lifts_bind.ma b/matita/matita/contribs/lambdadelta/basic_2/relocation/lifts_lifts_bind.ma
deleted file mode 100644 (file)
index e1647b3..0000000
--- a/matita/matita/contribs/lambdadelta/basic_2/relocation/lifts_lifts_bind.ma
+++ /dev/null
@@ -1,53 +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/relocation/lifts_lifts.ma".
-include "basic_2/relocation/lifts_bind.ma".
-
-(* GENERIC RELOCATION FOR BINDERS *******************************************)
-
-(* Main properties **********************************************************)
-
-theorem liftsb_div3: ∀f2,I,I2. ⬆*[f2] I2 ≘ I → ∀f,I1. ⬆*[f] I1 ≘ I →
-                     ∀f1. f2 ⊚ f1 ≘ f → ⬆*[f1] I1 ≘ I2.
-#f2 #I #I2 * -I -I2 #I [2: #V #V2 #HV2 ] #f #I1 #H
-[ elim (liftsb_inv_pair_dx … H) | lapply (liftsb_inv_unit_dx … H) ] -H
-/3 width=6 by lifts_div3, ext2_pair, ext2_unit/
-qed-.
-
-theorem liftsb_trans: ∀f1,I1,I. ⬆*[f1] I1 ≘ I → ∀f2,I2. ⬆*[f2] I ≘ I2 →
-                      ∀f. f2 ⊚ f1 ≘ f → ⬆*[f] I1 ≘ I2.
-#f1 #I1 #I * -I1 -I #I1 [2: #V1 #V #HV1 ] #f2 #I2 #H
-[ elim (liftsb_inv_pair_sn … H) | lapply (liftsb_inv_unit_sn … H) ] -H
-/3 width=6 by lifts_trans, ext2_pair, ext2_unit/
-qed-.
-
-theorem liftsb_conf: ∀f1,I,I1. ⬆*[f1] I ≘ I1 → ∀f,I2. ⬆*[f] I ≘ I2 →
-                     ∀f2. f2 ⊚ f1 ≘ f → ⬆*[f2] I1 ≘ I2.
-#f1 #I #I1 * -I -I1 #I [2: #V #V1 #HV1 ] #f2 #I2 #H
-[ elim (liftsb_inv_pair_sn … H) | lapply (liftsb_inv_unit_sn … H) ] -H
-/3 width=6 by lifts_conf, ext2_pair, ext2_unit/
-qed-.
-
-(* Advanced proprerties *****************************************************)
-
-lemma liftsb_inj: ∀f. is_inj2 … (liftsb f).
-#f #T1 #U #H1 #T2 #H2 lapply (after_isid_dx 𝐈𝐝  … f)
-/3 width=6 by liftsb_div3, liftsb_fwd_isid/
-qed-.
-
-lemma liftsb_mono: ∀f,T. is_mono … (liftsb f T).
-#f #T #U1 #H1 #U2 #H2 lapply (after_isid_sn 𝐈𝐝  … f)
-/3 width=6 by liftsb_conf, liftsb_fwd_isid/
-qed-.