X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Frelocation%2Flifts_tueq.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Frelocation%2Flifts_tueq.ma;h=0000000000000000000000000000000000000000;hb=bac74b5cff042d37e1abc9c961a6c41094b8a294;hp=a9805a9e3ca0c75c83de5ec2430c94ab119807ed;hpb=cacd7323994f7621286dbfd93bbf4c50acfbe918;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/static_2/relocation/lifts_tueq.ma b/matita/matita/contribs/lambdadelta/static_2/relocation/lifts_tueq.ma deleted file mode 100644 index a9805a9e3..000000000 --- a/matita/matita/contribs/lambdadelta/static_2/relocation/lifts_tueq.ma +++ /dev/null @@ -1,80 +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 "static_2/syntax/tueq.ma". -include "static_2/relocation/lifts_lifts.ma". - -(* GENERIC RELOCATION FOR TERMS *********************************************) - -(* Properties with tail sort-irrelevant equivalence for terms ***************) - -lemma tueq_lifts_sn: liftable2_sn tueq. -#T1 #T2 #H elim H -T1 -T2 -[ #s1 #s2 #f #X #H >(lifts_inv_sort1 … H) -H - /3 width=3 by lifts_sort, tueq_sort, ex2_intro/ -| #i #f #X #H elim (lifts_inv_lref1 … H) -H - /3 width=3 by lifts_lref, tueq_lref, ex2_intro/ -| #l #f #X #H >(lifts_inv_gref1 … H) -H - /2 width=3 by lifts_gref, tueq_gref, ex2_intro/ -| #p #I #V #T1 #T2 #_ #IHT #f #X #H elim (lifts_inv_bind1 … H) -H - #W1 #U1 #HVW1 #HTU1 #H destruct - elim (IHT … HTU1) -T1 - /3 width=3 by lifts_bind, tueq_bind, ex2_intro/ -| #V #T1 #T2 #_ #IHT #f #X #H elim (lifts_inv_flat1 … H) -H - #W1 #U1 #HVW1 #HTU1 #H destruct - elim (IHT … HTU1) -T1 - /3 width=3 by lifts_flat, tueq_appl, ex2_intro/ -| #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, tueq_cast, ex2_intro/ -] -qed-. - -lemma tueq_lifts_dx: liftable2_dx tueq. -/3 width=3 by tueq_lifts_sn, liftable2_sn_dx, tueq_sym/ qed-. - -lemma tueq_lifts_bi: liftable2_bi tueq. -/3 width=6 by tueq_lifts_sn, liftable2_sn_bi/ qed-. - -(* Inversion lemmas with tail sort-irrelevant equivalence for terms *********) - -lemma tueq_inv_lifts_sn: deliftable2_sn tueq. -#U1 #U2 #H elim H -U1 -U2 -[ #s1 #s2 #f #X #H >(lifts_inv_sort2 … H) -H - /3 width=3 by lifts_sort, tueq_sort, ex2_intro/ -| #i #f #X #H elim (lifts_inv_lref2 … H) -H - /3 width=3 by lifts_lref, tueq_lref, ex2_intro/ -| #l #f #X #H >(lifts_inv_gref2 … H) -H - /2 width=3 by lifts_gref, tueq_gref, ex2_intro/ -| #p #I #W #U1 #U2 #_ #IHU #f #X #H elim (lifts_inv_bind2 … H) -H - #V1 #T1 #HVW1 #HTU1 #H destruct - elim (IHU … HTU1) -U1 - /3 width=3 by lifts_bind, tueq_bind, ex2_intro/ -| #W #U1 #U2 #_ #IHU #f #X #H elim (lifts_inv_flat2 … H) -H - #V1 #T1 #HVW1 #HTU1 #H destruct - elim (IHU … HTU1) -U1 - /3 width=3 by lifts_flat, tueq_appl, ex2_intro/ -| #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, tueq_cast, ex2_intro/ -] -qed-. - -lemma tueq_inv_lifts_dx: deliftable2_dx tueq. -/3 width=3 by tueq_inv_lifts_sn, deliftable2_sn_dx, tueq_sym/ qed-. - -lemma tueq_inv_lifts_bi: deliftable2_bi tueq. -/3 width=6 by tueq_inv_lifts_sn, deliftable2_sn_bi/ qed-.