X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambda_delta%2Fbasic_2%2Fetc%2Fcsup%2Fcsups_csups.etc;fp=matita%2Fmatita%2Fcontribs%2Flambda_delta%2Fbasic_2%2Fetc%2Fcsup%2Fcsups_csups.etc;h=0000000000000000000000000000000000000000;hb=e8998d29ab83e7b6aa495a079193705b2f6743d3;hp=aa54d9bef40636d4992ead28ec2232726ff4bccc;hpb=bde429ac54e48de74b3d8b1df72dfcb86aa9bae5;p=helm.git diff --git a/matita/matita/contribs/lambda_delta/basic_2/etc/csup/csups_csups.etc b/matita/matita/contribs/lambda_delta/basic_2/etc/csup/csups_csups.etc deleted file mode 100644 index aa54d9bef..000000000 --- a/matita/matita/contribs/lambda_delta/basic_2/etc/csup/csups_csups.etc +++ /dev/null @@ -1,62 +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/csup_csup.ma". -include "basic_2/unfold/csups.ma". - -(* STAR-ITERATED SUPCLOSURE *************************************************) - -(* Advanced forward lemmas **************************************************) - -(* -lemma csupp_strap2_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 (csupp_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 - /3 width=5/ - - elim (csup_inv_ldrop … HT23 I V2 0 ?) -HT23 // #H1 #H2 destruct /2 width=1/ - qed-. - - - - - - - - -lemma csups_strap1_fwd_refl: ∀L,L0,T1,T2. ⦃L, T1⦄ >* ⦃L0, T2⦄ → - ∀T3. ⦃L0, T2⦄ > ⦃L, T3⦄ → L = L0. -#L #L0 #T1 #T2 #H @(csups_ind_dx … H) -L -T1 // -#L1 #L #T1 #T #HL1 #_ #IHL0 #T3 #HL0 -lapply (csup_trans_fwd_refl … HL10) … HL0) -T2 -*) -lemma lift_csups_trans_aux: ∀T1,U1,d,e. ⇧[d, e] T1 ≡ U1 → - ∀L1,L2,U2. ⦃L1, U1⦄ >* ⦃L2, U2⦄ → L1 = L2 → - ∃T2. ⇧[d, e] T2 ≡ U2. -#T1 #U1 #d #e #HTU1 #L1 #L2 #U2 #H @(csups_ind … H) -L2 -U2 /2 width=2/ -T1 -#L #L2 #U #U2 #HL1 #HL2 #IHL1 #H destruct - -* -T1 -U1 -d -e - -(* Main propertis ***********************************************************) - -theorem csups_trans: bi_transitive … csups. -/2 width=4/ qed.