X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Flsuba_aaa.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Flsuba_aaa.ma;h=0000000000000000000000000000000000000000;hb=ff612dc35167ec0c145864c9aa8ae5e1ebe20a48;hp=7bd8f30edc342c603fadae775c6a39a49adffec3;hpb=222044da28742b24584549ba86b1805a87def070;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_aaa.ma deleted file mode 100644 index 7bd8f30ed..000000000 --- a/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_aaa.ma +++ /dev/null @@ -1,54 +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_aaa.ma". -include "basic_2/static/lsuba.ma". - -(* RESTRICTED REFINEMENT FOR ATOMIC ARITY ASSIGNMENT ************************) - -(* Properties with atomic arity assignment **********************************) - -lemma lsuba_aaa_conf: ∀G,L1,V,A. ⦃G, L1⦄ ⊢ V ⁝ A → - ∀L2. G ⊢ L1 ⫃⁝ L2 → ⦃G, L2⦄ ⊢ V ⁝ A. -#G #L1 #V #A #H elim H -G -L1 -V -A -[ // -| #I #G #L1 #V #A #HA #IH #L2 #H - elim (lsuba_inv_bind1 … H) -H * /3 width=1 by aaa_zero/ - #L0 #W0 #V0 #A0 #HV0 #HW0 #HL10 #H1 #H2 destruct - lapply (aaa_mono … HV0 … HA) #H destruct -V0 -L1 /2 width=1 by aaa_zero/ -| #I #G #K1 #A #i #_ #IH #L2 #H - elim (lsuba_inv_bind1 … H) -H * /3 width=1 by aaa_lref/ -| /4 width=2 by lsuba_bind, aaa_abbr/ -| /4 width=1 by lsuba_bind, aaa_abst/ -| /3 width=3 by aaa_appl/ -| /3 width=1 by aaa_cast/ -] -qed-. - -lemma lsuba_aaa_trans: ∀G,L2,V,A. ⦃G, L2⦄ ⊢ V ⁝ A → - ∀L1. G ⊢ L1 ⫃⁝ L2 → ⦃G, L1⦄ ⊢ V ⁝ A. -#G #L2 #V #A #H elim H -G -L2 -V -A -[ // -| #I #G #L2 #V #A #HA #IH #L1 #H - elim (lsuba_inv_bind2 … H) -H * /3 width=1 by aaa_zero/ - #L0 #V0 #W0 #A0 #HV0 #HW0 #HL02 #H1 #H2 destruct - lapply (aaa_mono … HW0 … HA) #H destruct -L2 /2 width=1 by aaa_zero/ -| #I #G #K2 #A #i #_ #IH #L1 #H - elim (lsuba_inv_bind2 … H) -H * /3 width=1 by aaa_lref/ -| /4 width=2 by lsuba_bind, aaa_abbr/ -| /4 width=1 by lsuba_bind, aaa_abst/ -| /3 width=3 by aaa_appl/ -| /3 width=1 by aaa_cast/ -] -qed-.