-fact lstas_scpds_aux: ∀h,g,G0,L0,T0.
- (â\88\80G1,L1,T1. â¦\83G0, L0, T0â¦\84 >â\89¡[h, g] â¦\83G1, L1, T1â¦\84 â\86\92 IH_snv_lstas h g G1 L1 T1) →
- (â\88\80G1,L1,T1. â¦\83G0, L0, T0â¦\84 >â\89¡[h, g] â¦\83G1, L1, T1â¦\84 â\86\92 IH_snv_cpr_lpr h g G1 L1 T1) →
- (â\88\80G1,L1,T1. â¦\83G0, L0, T0â¦\84 >â\89¡[h, g] â¦\83G1, L1, T1â¦\84 â\86\92 IH_da_cpr_lpr h g G1 L1 T1) →
- (â\88\80G1,L1,T1. â¦\83G0, L0, T0â¦\84 >â\89¡[h, g] â¦\83G1, L1, T1â¦\84 â\86\92 IH_lstas_cpr_lpr h g G1 L1 T1) →
- â\88\80G,L,T. â¦\83G0, L0, T0â¦\84 >â\89¡[h, g] â¦\83G, L, Tâ¦\84 â\86\92 â¦\83G, Lâ¦\84 â\8a¢ T ¡[h, g] →
- ∀d,d1. d1 ≤ d → ⦃G, L⦄ ⊢ T ▪[h, g] d → ∀T1. ⦃G, L⦄ ⊢ T •*[h, d1] T1 →
- ∀T2,d2. ⦃G, L⦄ ⊢ T •*➡*[h, g, d2] T2 → ⦃G, L⦄ ⊢ T1 •*⬌*[h, g, d2-d1, d1-d2] T2.
-#h #g #G0 #L0 #T0 #IH4 #IH3 #IH2 #IH1 #G #L #T #H0 #HT #d #d1 #Hd1 #HTd #T1 #HT1 #T2 #d2 * #X #d0 #Hd20 #H #HTX #HXT2
+fact lstas_scpds_aux: ∀h,o,G0,L0,T0.
+ (â\88\80G1,L1,T1. â¦\83G0, L0, T0â¦\84 >â\89\9b[h, o] â¦\83G1, L1, T1â¦\84 â\86\92 IH_snv_lstas h o G1 L1 T1) →
+ (â\88\80G1,L1,T1. â¦\83G0, L0, T0â¦\84 >â\89\9b[h, o] â¦\83G1, L1, T1â¦\84 â\86\92 IH_snv_cpr_lpr h o G1 L1 T1) →
+ (â\88\80G1,L1,T1. â¦\83G0, L0, T0â¦\84 >â\89\9b[h, o] â¦\83G1, L1, T1â¦\84 â\86\92 IH_da_cpr_lpr h o G1 L1 T1) →
+ (â\88\80G1,L1,T1. â¦\83G0, L0, T0â¦\84 >â\89\9b[h, o] â¦\83G1, L1, T1â¦\84 â\86\92 IH_lstas_cpr_lpr h o G1 L1 T1) →
+ â\88\80G,L,T. â¦\83G0, L0, T0â¦\84 >â\89\9b[h, o] â¦\83G, L, Tâ¦\84 â\86\92 â¦\83G, Lâ¦\84 â\8a¢ T ¡[h, o] →
+ ∀d,d1. d1 ≤ d → ⦃G, L⦄ ⊢ T ▪[h, o] d → ∀T1. ⦃G, L⦄ ⊢ T •*[h, d1] T1 →
+ ∀T2,d2. ⦃G, L⦄ ⊢ T •*➡*[h, o, d2] T2 → ⦃G, L⦄ ⊢ T1 •*⬌*[h, o, d2-d1, d1-d2] T2.
+#h #o #G0 #L0 #T0 #IH4 #IH3 #IH2 #IH1 #G #L #T #H0 #HT #d #d1 #Hd1 #HTd #T1 #HT1 #T2 #d2 * #X #d0 #Hd20 #H #HTX #HXT2