X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fsubstitution%2Fcpys_cpys.ma;h=a3eedc255b24a4dc5a3080c1e5899f2080be730e;hb=e5378812c068074f0ac627541d3f066e135c8824;hp=aec0c7913345a9b47c34cbc8c0a3d4c0d7bafb99;hpb=928cfe1ebf2fbd31731c8851cdec70802596016d;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/substitution/cpys_cpys.ma b/matita/matita/contribs/lambdadelta/basic_2/substitution/cpys_cpys.ma index aec0c7913..a3eedc255 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/substitution/cpys_cpys.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/substitution/cpys_cpys.ma @@ -59,11 +59,11 @@ lemma cpys_split_up: ∀G,L,T1,T2,d,e. ⦃G, L⦄ ⊢ T1 ▶*×[d, e] T2 → qed-. lemma cpys_inv_lift1_up: ∀G,L,U1,U2,dt,et. ⦃G, L⦄ ⊢ U1 ▶*×[dt, et] U2 → - ∀K,d,e. ⇩[d, e] L ≡ K → ∀T1. ⇧[d, e] T1 ≡ U1 → - d ≤ dt → dt ≤ d + e → d + e ≤ dt + et → - ∃∃T2. ⦃G, K⦄ ⊢ T1 ▶*×[d, dt + et - (d + e)] T2 & + ∀K,s,d,e. ⇩[s, d, e] L ≡ K → ∀T1. ⇧[d, e] T1 ≡ U1 → + d ≤ dt → dt ≤ yinj d + e → yinj d + e ≤ dt + et → + ∃∃T2. ⦃G, K⦄ ⊢ T1 ▶*×[d, dt + et - (yinj d + e)] T2 & ⇧[d, e] T2 ≡ U2. -#G #L #U1 #U2 #dt #et #HU12 #K #d #e #HLK #T1 #HTU1 #Hddt #Hdtde #Hdedet +#G #L #U1 #U2 #dt #et #HU12 #K #s #d #e #HLK #T1 #HTU1 #Hddt #Hdtde #Hdedet elim (cpys_split_up … HU12 (d + e)) -HU12 // -Hdedet #U #HU1 #HU2 lapply (cpys_weak … HU1 d e ? ?) -HU1 // [ >ymax_pre_sn_comm // ] -Hddt -Hdtde #HU1 lapply (cpys_inv_lift1_eq … HU1 … HTU1) -HU1 #HU1 destruct