X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frelocation%2Fdrops_seq.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frelocation%2Fdrops_seq.ma;h=0000000000000000000000000000000000000000;hb=ff612dc35167ec0c145864c9aa8ae5e1ebe20a48;hp=a722d46e7c3bf3f19de07c970ecd7fd2d28d268b;hpb=222044da28742b24584549ba86b1805a87def070;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_seq.ma b/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_seq.ma deleted file mode 100644 index a722d46e7..000000000 --- a/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_seq.ma +++ /dev/null @@ -1,61 +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/drops_sex.ma". - -(* GENERIC SLICING FOR LOCAL ENVIRONMENTS ***********************************) - -(* Properties with syntactic equivalence for selected local environments ****) - -lemma seq_co_dedropable_sn: co_dedropable_sn seq. -@sex_liftable_co_dedropable_sn -/2 width=6 by cfull_lift_sn, ceq_lift_sn/ qed-. - -lemma seq_co_dropable_sn: co_dropable_sn seq. -@sex_co_dropable_sn qed-. - -lemma seq_co_dropable_dx: co_dropable_dx seq. -@sex_co_dropable_dx qed-. - -(* Basic_2A1: includes: lreq_drop_trans_be *) -lemma seq_drops_trans_next: ∀f2,L1,L2. L1 ≡[f2] L2 → - ∀b,f,I,K2. ⬇*[b, f] L2 ≘ K2.ⓘ{I} → 𝐔⦃f⦄ → - ∀f1. f ~⊚ ↑f1 ≘ f2 → - ∃∃K1. ⬇*[b, f] L1 ≘ K1.ⓘ{I} & K1 ≡[f1] K2. -#f2 #L1 #L2 #HL12 #b #f #I2 #K2 #HLK2 #Hf #f1 #Hf2 -elim (sex_drops_trans_next … HL12 … HLK2 Hf … Hf2) -f2 -L2 -Hf -#I1 #K1 #HLK1 #HK12 #H <(ceq_ext_inv_eq … H) -I2 -/2 width=3 by ex2_intro/ -qed-. - -(* Basic_2A1: includes: lreq_drop_conf_be *) -lemma seq_drops_conf_next: ∀f2,L1,L2. L1 ≡[f2] L2 → - ∀b,f,I,K1. ⬇*[b, f] L1 ≘ K1.ⓘ{I} → 𝐔⦃f⦄ → - ∀f1. f ~⊚ ↑f1 ≘ f2 → - ∃∃K2. ⬇*[b, f] L2 ≘ K2.ⓘ{I} & K1 ≡[f1] K2. -#f2 #L1 #L2 #HL12 #b #f #I1 #K1 #HLK1 #Hf #f1 #Hf2 -elim (seq_drops_trans_next … (seq_sym … HL12) … HLK1 … Hf2) // -f2 -L1 -Hf -/3 width=3 by seq_sym, ex2_intro/ -qed-. - -lemma drops_seq_trans_next: ∀f1,K1,K2. K1 ≡[f1] K2 → - ∀b,f,I,L1. ⬇*[b, f] L1.ⓘ{I} ≘ K1 → - ∀f2. f ~⊚ f1 ≘ ↑f2 → - ∃∃L2. ⬇*[b, f] L2.ⓘ{I} ≘ K2 & L1 ≡[f2] L2 & L1.ⓘ{I} ≡[f] L2.ⓘ{I}. -#f1 #K1 #K2 #HK12 #b #f #I1 #L1 #HLK1 #f2 #Hf2 -elim (drops_sex_trans_next … HK12 … HLK1 … Hf2) -f1 -K1 -/2 width=6 by cfull_lift_sn, ceq_lift_sn/ -#I2 #L2 #HLK2 #HL12 #H >(ceq_ext_inv_eq … H) -I1 -/2 width=4 by ex3_intro/ -qed-.