qed-.
lemma cpys_inv_lift1_up: ∀G,L,U1,U2,dt,et. ⦃G, L⦄ ⊢ U1 ▶*[dt, et] U2 →
- â\88\80K,s,d,e. â\87©[s, d, e] L â\89¡ K â\86\92 â\88\80T1. â\87§[d, e] T1 ≡ U1 →
+ â\88\80K,s,d,e. â¬\87[s, d, e] L â\89¡ K â\86\92 â\88\80T1. â¬\86[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 &
- â\87§[d, e] T2 ≡ U2.
+ â¬\86[d, e] T2 ≡ U2.
#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