X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frelocation%2Flifts_tdeq.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frelocation%2Flifts_tdeq.ma;h=0000000000000000000000000000000000000000;hb=ff612dc35167ec0c145864c9aa8ae5e1ebe20a48;hp=828ee58a917153d65bb906e6dae1d35a717ffa89;hpb=222044da28742b24584549ba86b1805a87def070;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/relocation/lifts_tdeq.ma b/matita/matita/contribs/lambdadelta/basic_2/relocation/lifts_tdeq.ma deleted file mode 100644 index 828ee58a9..000000000 --- a/matita/matita/contribs/lambdadelta/basic_2/relocation/lifts_tdeq.ma +++ /dev/null @@ -1,66 +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/syntax/tdeq.ma". -include "basic_2/relocation/lifts_lifts.ma". - -(* GENERIC RELOCATION FOR TERMS *********************************************) - -(* Properties with degree-based equivalence for terms ***********************) - -lemma tdeq_lifts_sn: ∀h,o. liftable2_sn (tdeq h o). -#h #o #T1 #T2 #H elim H -T1 -T2 [||| * ] -[ #s1 #s2 #d #Hs1 #Hs2 #f #X #H >(lifts_inv_sort1 … H) -H - /3 width=5 by lifts_sort, tdeq_sort, ex2_intro/ -| #i #f #X #H elim (lifts_inv_lref1 … H) -H - /3 width=3 by lifts_lref, tdeq_lref, ex2_intro/ -| #l #f #X #H >(lifts_inv_gref1 … H) -H - /2 width=3 by lifts_gref, tdeq_gref, ex2_intro/ -| #p #I #V1 #V2 #T1 #T2 #_ #_ #IHV #IHT #f #X #H elim (lifts_inv_bind1 … H) -H - #W1 #U1 #HVW1 #HTU1 #H destruct - elim (IHV … HVW1) -V1 elim (IHT … HTU1) -T1 - /3 width=5 by lifts_bind, tdeq_pair, ex2_intro/ -| #I #V1 #V2 #T1 #T2 #_ #_ #IHV #IHT #f #X #H elim (lifts_inv_flat1 … H) -H - #W1 #U1 #HVW1 #HTU1 #H destruct - elim (IHV … HVW1) -V1 elim (IHT … HTU1) -T1 - /3 width=5 by lifts_flat, tdeq_pair, ex2_intro/ -] -qed-. - -lemma tdeq_lifts_bi: ∀h,o. liftable2_bi (tdeq h o). -/3 width=6 by tdeq_lifts_sn, liftable2_sn_bi/ qed-. - -(* Inversion lemmas with degree-based equivalence for terms *****************) - -lemma tdeq_inv_lifts_sn: ∀h,o. deliftable2_sn (tdeq h o). -#h #o #U1 #U2 #H elim H -U1 -U2 [||| * ] -[ #s1 #s2 #d #Hs1 #Hs2 #f #X #H >(lifts_inv_sort2 … H) -H - /3 width=5 by lifts_sort, tdeq_sort, ex2_intro/ -| #i #f #X #H elim (lifts_inv_lref2 … H) -H - /3 width=3 by lifts_lref, tdeq_lref, ex2_intro/ -| #l #f #X #H >(lifts_inv_gref2 … H) -H - /2 width=3 by lifts_gref, tdeq_gref, ex2_intro/ -| #p #I #W1 #W2 #U1 #U2 #_ #_ #IHW #IHU #f #X #H elim (lifts_inv_bind2 … H) -H - #V1 #T1 #HVW1 #HTU1 #H destruct - elim (IHW … HVW1) -W1 elim (IHU … HTU1) -U1 - /3 width=5 by lifts_bind, tdeq_pair, ex2_intro/ -| #I #W1 #W2 #U1 #U2 #_ #_ #IHW #IHU #f #X #H elim (lifts_inv_flat2 … H) -H - #V1 #T1 #HVW1 #HTU1 #H destruct - elim (IHW … HVW1) -W1 elim (IHU … HTU1) -U1 - /3 width=5 by lifts_flat, tdeq_pair, ex2_intro/ -] -qed-. - -lemma tdeq_inv_lifts_bi: ∀h,o. deliftable2_bi (tdeq h o). -/3 width=6 by tdeq_inv_lifts_sn, deliftable2_sn_bi/ qed-.