X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frelocation%2Flex_lex.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frelocation%2Flex_lex.ma;h=0000000000000000000000000000000000000000;hb=ff612dc35167ec0c145864c9aa8ae5e1ebe20a48;hp=e8b30f23dc109980c4dd5dcd49c97356273fa0fb;hpb=222044da28742b24584549ba86b1805a87def070;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/relocation/lex_lex.ma b/matita/matita/contribs/lambdadelta/basic_2/relocation/lex_lex.ma deleted file mode 100644 index e8b30f23d..000000000 --- a/matita/matita/contribs/lambdadelta/basic_2/relocation/lex_lex.ma +++ /dev/null @@ -1,52 +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/lex.ma". - -(* GENERIC ENTRYWISE EXTENSION OF CONTEXT-SENSITIVE REALTIONS FOR TERMS *****) - -(* Main properties **********************************************************) - -(* Basic_2A1: was: lpx_sn_trans *) -theorem lex_trans (R): lex_transitive R R → Transitive … (lex R). -#R #HR #L1 #L #H @(lex_ind … H) -L1 -L // -[ #I #K1 #K #HK1 #IH #Y #H - elim (lex_inv_unit_sn … H) -H #K2 #K2 #H destruct - /3 width=1 by lex_unit/ -| #I #K1 #L #V1 #V #HK1 #IH #HV1 #X #H - elim (lex_inv_pair_sn … H) -H #K2 #V2 #HK2 #HV2 #H destruct - /3 width=5 by lex_pair/ -] -qed-. - -(* Basic_2A1: was: lpx_sn_conf *) -theorem lex_conf (R1) (R2): lex_confluent R1 R2 → confluent2 … (lex R1) (lex R2). -#R1 #R2 #HR12 #L0 elim L0 -L0 [| #K0 * ] -[ #Y1 #H1 #Y2 #H2 - >(lex_inv_atom_sn … H1) -Y1 - >(lex_inv_atom_sn … H2) -Y2 - /2 width=3 by lex_atom, ex2_intro/ -| #I #IH #Y1 #H1 #Y2 #H2 - elim (lex_inv_unit_sn … H1) -H1 #K1 #HK01 #H destruct - elim (lex_inv_unit_sn … H2) -H2 #K2 #HK02 #H destruct - elim (IH … HK01 … HK02) -K0 #K #HK1 #HK2 - /3 width=3 by lex_unit, ex2_intro/ -| #I #V0 #IH #Y1 #H1 #Y2 #H2 - elim (lex_inv_pair_sn … H1) -H1 #K1 #V1 #HK01 #HV01 #H destruct - elim (lex_inv_pair_sn … H2) -H2 #K2 #V2 #HK02 #HV02 #H destruct - elim (HR12 … HV01 … HV02 … HK01 … HK02) -V0 #V #HV1 #HV2 - elim (IH … HK01 … HK02) -K0 #K #HK1 #HK2 - /3 width=5 by lex_pair, ex2_intro/ -] -qed-.