X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Flsuba_drops.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Flsuba_drops.ma;h=0000000000000000000000000000000000000000;hb=ff612dc35167ec0c145864c9aa8ae5e1ebe20a48;hp=e55602e4f25b6ac2bdd6dd07499744748c85fe84;hpb=222044da28742b24584549ba86b1805a87def070;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_drops.ma deleted file mode 100644 index e55602e4f..000000000 --- a/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_drops.ma +++ /dev/null @@ -1,68 +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.ma". -include "basic_2/static/lsuba.ma". - -(* RESTRICTED REFINEMENT FOR ATOMIC ARITY ASSIGNMENT ************************) - -(* Properties with generic slicing for local environments *******************) - -(* Note: the premise 𝐔⦃f⦄ cannot be removed *) -(* Basic_2A1: includes: lsuba_drop_O1_conf *) -lemma lsuba_drops_conf_isuni: ∀G,L1,L2. G ⊢ L1 ⫃⁝ L2 → - ∀b,f,K1. 𝐔⦃f⦄ → ⬇*[b, f] L1 ≘ K1 → - ∃∃K2. G ⊢ K1 ⫃⁝ K2 & ⬇*[b, f] L2 ≘ K2. -#G #L1 #L2 #H elim H -L1 -L2 -[ /2 width=3 by ex2_intro/ -| #I #L1 #L2 #HL12 #IH #b #f #K1 #Hf #H - elim (drops_inv_bind1_isuni … Hf H) -Hf -H * - [ #Hf #H destruct -IH - /3 width=3 by lsuba_bind, drops_refl, ex2_intro/ - | #g #Hg #HLK1 #H destruct -HL12 - elim (IH … Hg HLK1) -L1 -Hg /3 width=3 by drops_drop, ex2_intro/ - ] -| #L1 #L2 #W #V #A #HV #HW #HL12 #IH #b #f #K1 #Hf #H - elim (drops_inv_bind1_isuni … Hf H) -Hf -H * - [ #Hf #H destruct -IH - /3 width=3 by drops_refl, lsuba_beta, ex2_intro/ - | #g #Hg #HLK1 #H destruct -HL12 - elim (IH … Hg HLK1) -L1 -Hg /3 width=3 by drops_drop, ex2_intro/ - ] -] -qed-. - -(* Note: the premise 𝐔⦃f⦄ cannot be removed *) -(* Basic_2A1: includes: lsuba_drop_O1_trans *) -lemma lsuba_drops_trans_isuni: ∀G,L1,L2. G ⊢ L1 ⫃⁝ L2 → - ∀b,f,K2. 𝐔⦃f⦄ → ⬇*[b, f] L2 ≘ K2 → - ∃∃K1. G ⊢ K1 ⫃⁝ K2 & ⬇*[b, f] L1 ≘ K1. -#G #L1 #L2 #H elim H -L1 -L2 -[ /2 width=3 by ex2_intro/ -| #I #L1 #L2 #HL12 #IH #b #f #K2 #Hf #H - elim (drops_inv_bind1_isuni … Hf H) -Hf -H * - [ #Hf #H destruct -IH - /3 width=3 by lsuba_bind, drops_refl, ex2_intro/ - | #g #Hg #HLK2 #H destruct -HL12 - elim (IH … Hg HLK2) -L2 -Hg /3 width=3 by drops_drop, ex2_intro/ - ] -| #L1 #L2 #W #V #A #HV #HW #HL12 #IH #b #f #K2 #Hf #H - elim (drops_inv_bind1_isuni … Hf H) -Hf -H * - [ #Hf #H destruct -IH - /3 width=3 by drops_refl, lsuba_beta, ex2_intro/ - | #g #Hg #HLK2 #H destruct -HL12 - elim (IH … Hg HLK2) -L2 -Hg /3 width=3 by drops_drop, ex2_intro/ - ] -] -qed-.