X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frelocation%2Fdrops_ltc.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frelocation%2Fdrops_ltc.ma;h=0000000000000000000000000000000000000000;hb=ff612dc35167ec0c145864c9aa8ae5e1ebe20a48;hp=62ae1ecc6d00a1f082a90b8aaff2749788171db1;hpb=222044da28742b24584549ba86b1805a87def070;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_ltc.ma b/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_ltc.ma deleted file mode 100644 index 62ae1ecc6..000000000 --- a/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_ltc.ma +++ /dev/null @@ -1,95 +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 "ground_2/lib/ltc.ma". -include "basic_2/relocation/seq_seq.ma". - -(* GENERIC SLICING FOR LOCAL ENVIRONMENTS ***********************************) - -(* Properties with labeled transitive closure *******************************) - -lemma d2_liftable_sn_ltc: ∀A,f. associative … f → - ∀C,S,R. (∀n. d_liftable2_sn C S (λL. R L n)) → - ∀n. d_liftable2_sn C S (λL. ltc A f … (R L) n). -#A #g #Hg #C #S #R #HR #n #K #T1 #T2 #H -@(ltc_ind_dx … Hg ???? H) -n -T2 -[ #n #T2 #HT12 #b #g #L #HLK #U1 #HTU1 - elim (HR … HT12 … HLK … HTU1) -b -K -T1 -HR - /3 width=3 by ltc_rc, ex2_intro/ -| #n1 #n2 #T #T2 #_ #IHT1 #HT2 #b #f #L #HLK #U1 #HTU1 - elim (IHT1 … HLK … HTU1) -T1 #U #HTU #HU1 - elim (HR … HT2 … HLK … HTU) -HR -K -T - /3 width=5 by ltc_dx, ex2_intro/ -] -qed-. - -lemma d2_deliftable_sn_ltc: ∀A,f. associative … f → - ∀C,S,R. (∀n. d_deliftable2_sn C S (λL. R L n)) → - ∀n. d_deliftable2_sn C S (λL. ltc A f … (R L) n). -#A #g #Hg #C #S #R #HR #n #L #U1 #U2 #H -@(ltc_ind_dx … Hg ???? H) -n -U2 -[ #n #U2 #HU12 #b #g #K #HLK #T1 #HTU1 - elim (HR … HU12 … HLK … HTU1) -b -L -U1 -HR - /3 width=3 by ltc_rc, ex2_intro/ -| #n1 #n2 #U #U2 #_ #IHU1 #HU2 #b #f #K #HLK #T1 #HTU1 - elim (IHU1 … HLK … HTU1) -IHU1 -U1 #T #HTU #HT1 - elim (HR … HU2 … HLK … HTU) -L -U -HR - /3 width=5 by ltc_dx, ex2_intro/ -] -qed-. - -lemma co_dropable_sn_ltc: ∀A,f. associative … f → - ∀R. (∀n. co_dropable_sn (λL. R L n)) → - ∀n. co_dropable_sn (λL. ltc A f … (R L) n). -#A #g #Hg #R #HR #n #b #f #L1 #K1 #HLK1 #Hf #f2 #L2 #H -@(ltc_ind_dx … Hg ???? H) -n -L2 -[ #n #L2 #HL12 #g1 #H - elim (HR … HLK1 … Hf … HL12 … H) -f2 -L1 -HR -Hf - /3 width=3 by ltc_rc, ex2_intro/ -| #n1 #n2 #L #L2 #_ #IH #HL2 #f1 #H - elim (IH … H) -IH #K #HK1 #HLK - elim (HR … HLK … HL2 … H) -f2 -L -HR - /3 width=3 by ltc_dx, ex2_intro/ -] -qed-. - -lemma co_dropable_dx_ltc: ∀A,f. associative … f → - ∀R. (∀n. co_dropable_dx (λL. R L n)) → - ∀n. co_dropable_dx (λL. ltc A f … (R L) n). -#A #g #Hg #R #HR #n #f2 #L1 #L2 #H -@(ltc_ind_dx … Hg ???? H) -n -L2 -[ #n #L2 #HL12 #b #f #K2 #HLK2 #Hf #f1 #Hf2 - elim (HR … HL12 … HLK2 … Hf … Hf2) -f2 -L2 -HR -Hf - /3 width=3 by ltc_rc, ex2_intro/ -| #n1 #n2 #L #L2 #_ #IHL1 #HL2 #b #f #K2 #HLK2 #Hf #f1 #Hf2 - elim (HR … HL2 … HLK2 … Hf … Hf2) -L2 -HR #K #HLK #HK2 - elim (IHL1 … HLK … Hf … Hf2) -Hf -f2 -L - /3 width=5 by ltc_dx, ex2_intro/ -] -qed-. - -lemma co_dedropable_sn_ltc: ∀A,f. associative … f → - ∀R. (∀n. co_dedropable_sn (λL. R L n)) → - ∀n. co_dedropable_sn (λL. ltc A f … (R L) n). -#A #g #Hg #R #HR #n #b #f #L1 #K1 #HLK1 #f1 #K2 #H -@(ltc_ind_dx … Hg ???? H) -n -K2 -[ #n #K2 #HK12 #f2 #Hf - elim (HR … HLK1 … HK12 … Hf) -f1 -K1 -HR - /3 width=4 by ltc_rc, ex3_intro/ -| #n1 #n2 #K #K2 #_ #IH #HK2 #f2 #Hf - elim (IH … Hf) -K1 -IH #L #H1L1 #HLK #H2L1 - elim (HR … HLK … HK2 … Hf) -f1 -K -HR - /3 width=6 by seq_trans, ltc_dx, ex3_intro/ -] -qed-.