X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frelocation%2Flifts_lifts_bind.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frelocation%2Flifts_lifts_bind.ma;h=0000000000000000000000000000000000000000;hb=ff612dc35167ec0c145864c9aa8ae5e1ebe20a48;hp=e1647b35b60c9970af15ff7a71134b785599f00e;hpb=222044da28742b24584549ba86b1805a87def070;p=helm.git 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 index e1647b35b..000000000 --- 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-.